Chapter 32. The Second Aorist

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "Chapter 32. The Second Aorist"

Transcript

1 Chapter 32 The Second Aorist 32.1 In chapter 31 we met the Second Aorist - the form of the simple past tense used when the verb has different stems for the Present and the Aorist aspects. The "Weirdos" are verbs which have completely different stems for some of their tenses. There are also some verbs whose stems change slightly between tenses. Because the stems are different, the personal endings can be the same as those of the Imperfect, so these verbs also use the Second Aorist endings. We don't have any new endings to learn for this chapter. The Aorist is used for a "simple action", a completed action, or an act that took place at one point in time e.g.: I did something. If an action was continuous or repeated, e.g. I used to do something, I was doing something ) Greek uses the Imperfect (the Present stem with an augment). Greek is like English and German, in that verbs make their past tenses in different ways Weak verbs have endings added to the stem, e.g. I call, I called. Greek calls these First Aorists Strong verbs alter the stem, e.g. I bring, I brought. Greek calls these "Second Aorists". Although the Present Stem is the one with which we are generally more familiar, and the one used for dictionary entries, the Aorist Stem is probably older. The Present Stem has usually been derived from the Aorist by lengthening - duplication of a letter, e.g. βαλ- to βαλλ-, or addition of letters, e.g. λαβ- to λαµβαν The basic pattern for the Second Aorist Active is I ἐ-stem-ον ἐ-stem-οµεν we you (singular) ἐ-stem-ες ἐ-stem-ετε y'all he/she/it ἐ-stem-εν ἐ-stem-ον they For βάλλω "I throw", the Present stem is βαλλ- and the Aorist stem is βαλ- Remember - the Imperfect is built on the Present Stem, the Aorist on the Aorist stem. Both tenses are given below for comparison. Imperfect Aorist I was throwing ἔβαλλον ἔβαλον I threw you were throwing ἔβαλλες ἔβαλες you threw he/she/it was throwing ἔβαλλεν ἔβαλεν he/she/it threw we were throwing ἐβάλλοµεν ἐβάλοµεν we threw y'all were throwing ἐβάλλετε ἐβάλετε y'all threw they were throwing ἔβαλλον ἔβαλον they threw Note that the Second Aorist stem is usually shorter than the Present stem by one or two letters Verbs which use Second Aorist endings The following table of pairs of Present and Aorist stems should be learned as soon as possible. Present Aorist I lead ἅγω ἤγαγον I led I sin ἁµαρτάνω ἥµαρτον I sinned I read ἀναγινώσκω ἀνέγνων I read (past) I take away, kill ἀναιρέω ἀνεῖλον I took away, killed I die ἀποθνῄσκω ἀπέθανον I died I go (with prefix) -βαίνω -βην I went (with directional prefix) I throw βάλλω ἔβαλον I threw I know γινώσκω ἔγνων I knew I find εὑρίσκω εὗρον I found

2 I have ἔχω ἔσχον I had I am chosen λαγχάνω ἔλαχον I was chosen (by lot) I take, get λαµβάνω ἔλαβον I took, got I escape notice λανθάνω ἔλαθον I escaped notice I lack, need λείπω ἔλιπον I lacked, needed I learn µανθάνω ἔµαθον I learned I suffer πάσχω ἔπαθον I suffered I circumcise περιτέµνω περιέτεµον I circumcised (no Imperfect) I drink πίνω ἔπιον I drank I fall πίπτω ἔπεσον I fell I give birth to τίκτω ἔτεκον I gave birth to I obtain τυγχάνω ἔτυχον I obtained I flee φεύγω ἔφυγον I fled Practice - until you can read and translate easily 1. ὁ Ἀνδρέας ἤγαγεν τὸν ἀδελφὸν Andrew led his own brother τὸν ἴδιον πρὸς τὸν Ἰησοῦν. to Jesus. (see John 1:41-42) 2. ὁ Ἡρῴδης ἀνεῖλεν δὲ Ἰάκωβον Herod killed James τὸν ἀδελφὸν Ἰωάννου. the brother of John. (see Acts 12:1-2) 3. ἔφυγεν δὲ Mωϋσῆς ἐν τῷ λόγῳ τούτῳ. Moses fled at this word (at this saying). (Acts 7:29) 4. καὶ οὐκ ἐγίνωσκεν αὐτὴν And he did not know her (Imperfect - a period of time) ἕως οὗ ἔτεκεν υἱόν. until (the time) she bore a son. (Matt. 1:25) 5. ὑµεῖς δὲ οὐχ οὕτως ἐµάθετε But you did not learn/experience Christ τὸν Xριστόν. like this (in this way). (Eph. 4:20) 6. ἐπέπεσεν τὸ πνεῦµα τὸ ἅγιον ἐπ' αὐτοὺς The Holy Spirit fell on them just like ὥσπερ καὶ ἐφ' ἡµᾶς ἐν ἀρχῇ. (he fell) on us also at the beginning. (Acts 11:15) 7. αὐτὸν ἤγαγον καὶ εἰσήγαγον They led him and brought him εἰς τὴν οἰκὶαν. into the house. (Luke 22:54) 8. Θεέ µου, θεέ µου, ἱνατί µε ἐγκατέλιπες ; My God, my God, why did you forsake (me)? (Matt 27:46) 9. εἶπεν δὲ ὁ υἱὸς αὐτῷ, Πάτερ, ἥµαρτον But the son said to him, "Father, I sinned εἰς τὸν οὐρανὸν καὶ ἐνώπιόν σου. against (to) heaven and before you. (Luke 15:21) 10. ἤγαγεν δὲ αὐτὸν εἰς Ἰερουσαλὴµ... He led him to Jerusalem καὶ εἶπεν αὐτῷ, Eἰ υἱὸς εἶ τοῦ θεοῦ, and said to him, "If you are the Son of God, βάλε σεαυτὸν ἐντεῦθεν κάτω. throw yourself down from here." (Luke 4:9) ( βαλε is the Aorist Imperative of βάλλω - one only needs to throw oneself down once) NOTE : Sections 32.4 and 32.5 may be postponed until later in the course γινώσκω and its compounds γινώσκω and its compounds use a broader vowel for the personal endings. The third person singular drops the -ν The third person plural uses the 1st Aorist ending, -σαν. Singular Plural I knew ἔγνων ἔγνωµεν we knew you knew ἔγνως ἔγνωτε you knew he/she/it knew ἔγνω ἔγνωσαν they knew

3 Practice - until you can read and translate easily 1. ἔγνω οὖν ὁ πατὴρ ὅτι ἐν ἐκείνῃ τῇ ὥρᾳ Then the father knew that (it was) in that hour ἐν ᾗ εἶπεν αὐτῷ ὁ Ἰησοῦς, in which Jesus said to him, Ὁ υἱός σου ζῇ. "Your son lives." (John 4:53) 2. διὰ τοῦτο ὁ κόσµος οὐ γινώσκει ἡµᾶς Because of this, the world does not know us ὅτι οὐκ ἔγνω αὐτόν. since it did not know him. (1 John 3:1) 3. λέγει αὐτοῖς ὁ Ἰησοῦς, Oὐδέποτε Jesus said (says) to them, "Did you never ἀνέγνωτε ἐν ταῖς γραφαῖς... read in the scriptures.. " (Matt. 21:42) 4. τοῦτον οὖν τὸν τίτλον πολλοὶ Then many of the Jews ἀνέγνωσαν τῶν Ἰoυδαίων. read this notice. (John 19:20) 5. λέγω δὲ ὑµῖν ὅτι Ἠλίας ἤδη ἦλθεν, I say to you that Elijah came already, καὶ οὐκ ἐπέγνωσαν αὐτόν. and they did not recognize him. (Matt. 17:12) 6. ἔγνωσαν γὰρ ὅτι πρὸς αὐτοὺς For they knew that he spoke τὴν παραβολὴν εἶπεν. the parable to (against) them. (Mark 12:12) 7. ταῦτα οὐκ ἔγνωσαν αὐτοῦ οἱ µαθηταὶ His disciples did not understand these things τὸ πρῶτον. at first. (John 12:16) 8. ἐν τῷ κόσµῳ ἦν,... He was in the world,... καὶ ὁ κόσµος αὐτὸν οὐκ ἔγνω. and the world did not know him. (John 1:10) 9. οἱ Φαρισαῖοι ἔγνωσαν The Pharisees knew ὅτι περὶ αὐτῶν λέγει. that he was speaking about them. ( Refresh your memory of ὅτι and Indirect Discourse - chapter 13) (Matt. 21:45) 10. καὶ τότε ὁµολογήσω αὐτοῖς ὅτι, And then I will declare to them, Oὐδέποτε ἔγνων ὑµᾶς. "I never knew you." (Matt. 7:23) 32.5 The -βαίνω family In the New Testament, βαίνω (I go) is only found in the form of its compounds. The Aorist stem of βαίνω is βα. Its Aorist Indicative uses similar endings to those of γινώσκω. It uses a broader vowel for the personal endings. The third person singular drops the -ν. The third person plural uses the First Aorist ending, -σαν. Singular Plural I went -έ-βην -έ-βηµεν we went you went -έ-βης -έ-βητε you went he/she/it went -έ-βη -έ-βησαν they went Practice - until you can read and translate easily 1. Ὡς δὲ ἀνέβησαν οἱ ἀδελφοὶ αὐτοῦ When his brothers went up εἰς τὴν ἑορτὴν, τότε καὶ αὐτὸς ανέβη. to the festival, then he also went up. (John 7:10) 2. κατέβησαν οἱ µαθηταὶ αὐτοῦ His disciples went down ἐπὶ τὴν θάλασσαν. (on)to the sea. (John 6:16) 3. ἀνέβη Ἰησοῦς εἰς τὸ ἱερόν Jesus went up (in)to the temple, and καὶ ἐδίδασκεν. he was teaching (Imperfect). (John 7:14) 4. οἱ Ἰουδαῖοι διέβησαν τὴν θάλασσαν The Jews went through the sea, as though ὡς διὰ ξηρᾶς γῆς. on (through) dry land. (see Heb. 11:29) 5. καὶ κατέβη µετ' αὐτῶν And he went down with them καὶ ἦλθεν εἰς Nαζαρέθ. and came to Nazareth. (Luke 2:51) 6. καὶ ἀνέβη πρὸς αὐτοὺς εἰς τὸ πλοίον. And he went up to them in the boat. (Mark 6:51) 7. ἐνέβη εἰς τὸ πλοίον. He went into the boat. (Matt. 15:39)

4 8. µετέβη ἐκεῖθεν τοῦ διδάσκειν He went from there in order to teach καὶ κηρύσσειν ἐν and to preach in ταῖς συναγωγαῖς αὐτῶν. their synagogues. (see Matt. 11:1) 9. καὶ ἐγγὺς ἦν τὸ πάσχα τῶν Ἰουδαίων, And the Passover of the Jews was near, καὶ ἀνέβη εἰς Ἱεροσόλυµα ὁ Ἰησοῦς. and Jesus went up (in)to Jerusalem. (John 2:13) 10. ἀνθρωποι δυο ἀνέβησαν εἰς τὸ ἱερον. Two men went up to the temple. (Luke 18:10) 32.6 Sentences for reading and translation 1. ἔτεκεν τὸν υἱὸν αὐτῆς τὸν πρωτότοκον. (Luke 2:7) 2. ὁ νεανίσκος κατέλιπεν τὸν ἱµάτιον αὐτοῦ καὶ γυµνὸς ἔφυγεν. (see Mark 14:51-52) 3. αἱ ἀδελφαὶ ἐξῆλθον καὶ ἔφυγον ἀπὸ τοῦ µνηµείου. (see Mark 16:8) 4. ἡ γυνὴ ἔφυγεν εἰς τὴν ἔρηµον. (Rev. 12:6) 5. Kύριε, ἔγνων σε ὄτι σκληρὸς εἶ ἄνθρωπος. (Matt. 25:24) 6. ἀνέβη δὲ καὶ Ἰωσὴφ ἀπὸ τῆς Γαλιλαίας. (Luke 2:4) 7. Ἦν δὲ ἐγγὺς τὸ πάσχα τῶν Ἰουδαίων, καὶ ἀνέβησαν οἱ ἀνθρωποὶ εἰς Ἱεροσόλυµα ἐκ τῆς χώρας πρὸ τοῦ πάσχα. (see John 11:55) 8. µετὰ τοῦτο κατέβη εἰς Kαφαρναοὺµ αὐτὸς καὶ ἡ µήτηρ αὐτοῦ καὶ οἱ ἀδελφοὶ αὐτοῦ καὶ οἱ µαθηταὶ αὐτοῦ. (John 2:12) 9. ἐφάγοµεν ἐνώπιόν σου καὶ ἐπίοµεν. (Luke 13:26) 10. µετὰ ταῦτα ἦν ἑορτὴ τῶν Ἰουδαίων, καὶ ἀνέβη ὁ Ἰησοῦς εἰς Ἱεροσόλυµα. (John 5:1) 32.7 Writing Practice : Write the Greek text, while saying aloud (Matt. 5:3-5) µακάριοι οἱ πτωχοὶ τῷ πνεύµατι, Happy (are) the poor in spirit, ὅτι αὐτῶν ἐστιν ἡ βασιλεία τῶν οὐρανῶν. for theirs is the Kingdom of the Heavens. µακάριοι οἱ πενθοῦντες, Happy are the ones mourning, ὅτι αὐτοὶ παρακληθήσονται. for they shall be encouraged. µακάριοι οἱ πραεῖς, Happy are the humble, ὅτι αὐτοὶ κληρονοµήσουσιν τὴν γῆν. for they shall inherit the earth New Testament Passages for reading and translation : Matt. 7:24-27, John 6:22-24 In your Greek New Testament, read the passages aloud several times until you can read them without long pauses or stumbling. Then use the helps to translate them. πᾶς... ὅστις everyone who ὁµοιωθήσεται (he) will be like ( Future Passive of ὁµοιόω - I make like; Passive - I resemble) ἀνδρὶ (to a) man ( Dative of ὁ ἀνήρ - man) ᾠκοδόµησεν (he) built ( Aorist of oἰκοδοµέω - I build) ἡ βροχὴ rain ἔπνευσαν (they) blew ( Aorist of πνέω - I blow) προσέπεσαν (they) fell against ( Aorist variant, of προσπίπτω - I fall/strike against) τεθεµελίωτο (it) had been founded ( Pluperfect Passive of θεµελιόω - I lay a foundation) ἡ ἄµµος sand ( Second Declension Feminine) προσέκοψαν (they) struck against ( Aorist of προσκόπτω - I cut against, strike against) ἡ πτῶσις collapse, falling µεγάλη great ( Feminine Nominative singular of µέγας, µεγάλη, µέγα - great) τῇ ἐπαύριον on the following day ἑστωκὼς standing ( a Participle of ἴστηµι - I stand) τὸ πλοιάριον small boat ( diminutive of τὸ πλοῖον - boat) εἰ µὴ ἕν except one Tιβεριάδος Tiberias ( Genitive, with ἐκ) εὐχαριστήσαντος having blessed = which (the Lord) had blessed ( from εὐχαριστέω - I bless)

5 32.9 Vocabulary to learn ἀναιρέω I take away, kill ( Aorist Indicative ἀνεῖλον or ἀνεῖλα) ἀναπίπτω I sit, sit at table, lean ( Aorist Indicative ἀνέπεσον) ἀφαιρέω I take away ( Aorist Indicative ἀφεῖλον) ἐγκαταλείπω I forsake, leave behind ( Aorist Indicative ἐγκατέλιπον) εἰσάγω I lead in, bring in ( Aorist Indicative εἰσήγαγον) ἐκπίπτω I fall off, forfeit, fail ( Aorist Indicative ἐξέπεσον) ἐξάγω I lead out, bring out ( Aorist Indicative ἐξήγαγον) ἐπιπίπτω I fall upon, come upon ( Aorist Indicative ἐπέπεσον) λαγχάνω I am chosen, receive, am given ( Aorist Indicative ἔλαχον) λανθάνω I escape notice, am hidden, ignore ( Aorist Indicative ἔλαθον ) λείπω I lack, fall short ( Aorist Indicative ἔλιπον or ἐλείψα) µανθάνω I learn, find out ( ὁ µαθητής - disciple, student) ( Aorist Indicative ἔµαθον) προσπίπτω I fall down before, beat against ( Aorist Indicative προσέπεσον) τίκτω I give birth to, bear ( τὸ τεκνον - child) ( Aorist Indicative ἔτεκον) τυγχάνω I obtain, receive, experience ( Aorist Stem τυχ- ) φεύγω I flee, escape ( hence fugitive) ( Aorist Indicative ἔφυγον) ὁµοιόω I make like Passive - I resemble ( ὅµοιος, -α, -ον - like, same as) πνέω I blow (of wind) ( Aorist Indicative ἕπνευσα) προσκόπτω I cut against, strike against ( πρός + κόπτω - I cut) ἡ ἑορτή festival, feast (religious) ( often used to refer to the Passover) ὁ τίτλος notice ( hence title) γυµνός, -η, -ον naked ( hence gymnastics - the Greeks stripped off to exercise) δύο two ( hence dual, duel, duet) µωρός, -α, -ον foolish ( hence moron) πρωτότοκος first-born σκληρὸς, -α, -ον hard ( hence sclerosis) φρόνιµος, -η, -ον thoughtful, wise, practical ( from ἡ φρήν - mind) αὔριον tomorrow, mañana, in a short while, soon ἐντεῦθεν from here ( Adverbs ending in -θεν usually indicate "motion away from") ἐπαύριον tomorrow τῇ ἐπαύριον = τῇ ἡµέρᾳ ἐπαύριον - on the following day ἕως until ἕως οὗ = ἕως τοῦ χρόνου - until the time ἱνατί ; why? for what reason? ( ἵνα + τί ; ) κάτω down, below, beneath οὐδέποτε never ( οὐ + δέ + ποτέ) ὥσπερ just like, even as ( ὡς + πέρ) (do not attempt to use cases other than Nominative singular for the following words yet) ὁ ἀνήρ man εἷς, µία, ἕν one µέγας, µεγάλη, µέγα great, big, strong ὅστις whoever ( from ὅς, who + τις, someone)

Chapter 32. The Second Aorist

Chapter 32. The Second Aorist Chapter 32 The Second Aorist 32.1 In chapter 31 we met the Second Aorist - the form of the simple past tense used when the verb has different stems for the Present and the Aorist aspects. The "Weirdos"

Διαβάστε περισσότερα

14 Lesson 2: The Omega Verb - Present Tense

14 Lesson 2: The Omega Verb - Present Tense Lesson 2: The Omega Verb - Present Tense Day one I. Word Study and Grammar 1. Most Greek verbs end in in the first person singular. 2. The present tense is formed by adding endings to the present stem.

Διαβάστε περισσότερα

Chapter 2 * * * * * * * Introduction to Verbs * * * * * * *

Chapter 2 * * * * * * * Introduction to Verbs * * * * * * * Chapter 2 * * * * * * * Introduction to Verbs * * * * * * * In the first chapter, we practiced the skill of reading Greek words. Now we want to try to understand some parts of what we read. There are a

Διαβάστε περισσότερα

LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV. 4 February 2014

LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV. 4 February 2014 LESSON 12 (ΜΑΘΗΜΑ ΔΩΔΕΚΑ) REF : 202/055/32-ADV 4 February 2014 Somewhere κάπου (kapoo) Nowhere πουθενά (poothena) Elsewhere αλλού (aloo) Drawer το συρτάρι (sirtari) Page η σελίδα (selida) News τα νέα (nea)

Διαβάστε περισσότερα

Adjectives. Describing the Qualities of Things. A lesson for the Paideia web-app Ian W. Scott, 2015

Adjectives. Describing the Qualities of Things. A lesson for the Paideia web-app Ian W. Scott, 2015 Adjectives Describing the Qualities of Things A lesson for the Paideia web-app Ian W. Scott, 2015 Getting Started with Adjectives It's hard to say much using only nouns and pronouns Simon is a father.

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 11: The Unreal Past Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons

Διαβάστε περισσότερα

Croy Lesson 10. Kind of action and time of action. and/or Redup. using the verb λύω

Croy Lesson 10. Kind of action and time of action. and/or Redup. using the verb λύω A Lesson 10 Vocabulary Summer Greek Croy Lesson 10 Ω ἄγω αἴρω ἀναβαίνω ἀπέρχοµαι ἀποθνῄσκω ἀποκτείνω καταβαίνω µέλλω ὀφείλω συνάγω ἀπόστολος, ὁ ἱερόν, τό παρά (G,D,A) (+ gen.) from; (+ dat.) beside, with,

Διαβάστε περισσότερα

VERBS: memory aids through lesson 9 ACTIVE PRESENT AND IMPERFECT IMPERATIVE

VERBS: memory aids through lesson 9 ACTIVE PRESENT AND IMPERFECT IMPERATIVE Verbs. thr.less9, p1 moods tenses INDICATIVE VERBS: memory aids through lesson 9 ACTIVE PRESENT AND IMPERFECT present present stem + / primary person endings present stem + / ending of infinitive I stop

Διαβάστε περισσότερα

22.1: Root Aorist (Athematic Long-Vowel Aorist)

22.1: Root Aorist (Athematic Long-Vowel Aorist) 22.1: Root Aorist (Athematic Long-Vowel Aorist) A THIRD AORIST? In previous lessons you learned the following types of active aorist conjugations: ἔπαυσα First aorist (Lesson 9). A regular tense that we

Διαβάστε περισσότερα

7 Present PERFECT Simple. 8 Present PERFECT Continuous. 9 Past PERFECT Simple. 10 Past PERFECT Continuous. 11 Future PERFECT Simple

7 Present PERFECT Simple. 8 Present PERFECT Continuous. 9 Past PERFECT Simple. 10 Past PERFECT Continuous. 11 Future PERFECT Simple A/ Ονόματα και ένα παράδειγμα 1 Present Simple 7 Present PERFECT Simple 2 Present Continuous 8 Present PERFECT Continuous 3 Past Simple (+ used to) 9 Past PERFECT Simple she eats she is eating she ate

Διαβάστε περισσότερα

LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV. 18 February 2014

LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV. 18 February 2014 LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV 18 February 2014 Slowly/quietly Clear/clearly Clean Quickly/quick/fast Hurry (in a hurry) Driver Attention/caution/notice/care Dance Σιγά Καθαρά Καθαρός/η/ο

Διαβάστε περισσότερα

Summer Greek. Lesson 10 Vocabulary. Greek Verbs using the verb λύω. Greek Verbs. Greek Verbs: Conjugating. Greek Verbs: Conjugating.

Summer Greek. Lesson 10 Vocabulary. Greek Verbs using the verb λύω. Greek Verbs. Greek Verbs: Conjugating. Greek Verbs: Conjugating. A Lesson 10 Vocabulary Summer Greek Croy Lesson 10 Ω ἄγω αἴρω ἀναβαίνω ἀπέρχοµαι ἀποθνῄσκω ἀποκτείνω καταβαίνω µέλλω ὀφείλω συνάγω ἀπόστολος, ὁ ἱερόν, τό παρά (G,D,A) ὑπέρ (G,A) TENSE => KIND of action

Διαβάστε περισσότερα

Present Participles. Verbal Adjectives with Present Aspect. A lesson for the Paideia web-app Ian W. Scott, 2015

Present Participles. Verbal Adjectives with Present Aspect. A lesson for the Paideia web-app Ian W. Scott, 2015 Present Participles Verbal Adjectives with Present Aspect A lesson for the Paideia web-app Ian W. Scott, 2015 Participles with Present Aspect Participle = a verbal adjective Allows a whole clause to tell

Διαβάστε περισσότερα

Writing for A class. Describe yourself Topic 1: Write your name, your nationality, your hobby, your pet. Write where you live.

Writing for A class. Describe yourself Topic 1: Write your name, your nationality, your hobby, your pet. Write where you live. Topic 1: Describe yourself Write your name, your nationality, your hobby, your pet. Write where you live. Χρησιμοποίησε το and. WRITE your paragraph in 40-60 words... 1 Topic 2: Describe your room Χρησιμοποίησε

Διαβάστε περισσότερα

LESSON TEN: THE ADJECTIVE. Memorization of vocabulary ten

LESSON TEN: THE ADJECTIVE. Memorization of vocabulary ten LESSON TEN: THE ADJECTIVE Memorization of vocabulary ten ἀγαθος good ἁγιος holy, set apart ἀλλα but (the regular contrasting particle, with δε used at times) ἀληθεια truth ἀληθινος true/genuine αὐτος he

Διαβάστε περισσότερα

Final Test Grammar. Term C'

Final Test Grammar. Term C' Final Test Grammar Term C' Book: Starting Steps 1 & Extra and Friends Vocabulary and Grammar Practice Class: Junior AB Name: /43 Date: E xercise 1 L ook at the example and do the same. ( Κξίηα ηξ παοάδειγμα

Διαβάστε περισσότερα

Croy Lessons Participles

Croy Lessons Participles A Croy Lessons 18-20 Participles Aorist (Act/Mid/Dep Dep) ) Participles Adjectival and Substantive Ω STEM + TENSE + THEME + PTCP CODE + ENDING PARTICIPLE CODES CASE ENDINGS ντ - masc and neut active (and

Διαβάστε περισσότερα

Croy Lesson 18. First Declension. THIRD Declension. Second Declension. SINGULAR PLURAL NOM -α / -η [-ης]* -αι. GEN -ας / -ης [-ου]* -ων

Croy Lesson 18. First Declension. THIRD Declension. Second Declension. SINGULAR PLURAL NOM -α / -η [-ης]* -αι. GEN -ας / -ης [-ου]* -ων Croy Lesson 18 First Declension SINGULAR PLURAL NOM -α / -η [-ης]* -αι GEN -ας / -ης [-ου]* -ων DAT -ᾳ / -ῃ -αις ACC -αν / -ην -ας VOC -α / -η -αι *Masculine Nouns of First Declension Second Declension

Διαβάστε περισσότερα

LESSON 28 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΟΚΤΩ) REF : 201/033/28. 2 December 2014

LESSON 28 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΟΚΤΩ) REF : 201/033/28. 2 December 2014 LESSON 28 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΟΚΤΩ) REF : 201/033/28 2 December 2014 Place/Seat Right (noun) I am right I am not right It matters It does not matter The same (singular) The same (Plural) Η θέση Το δίκιο Έχω

Διαβάστε περισσότερα

FINAL TEST B TERM-JUNIOR B STARTING STEPS IN GRAMMAR UNITS 8-17

FINAL TEST B TERM-JUNIOR B STARTING STEPS IN GRAMMAR UNITS 8-17 FINAL TEST B TERM-JUNIOR B STARTING STEPS IN GRAMMAR UNITS 8-17 Name: Surname: Date: Class: 1. Write these words in the correct order. /Γράψε αυτέσ τισ λέξεισ ςτη ςωςτή ςειρά. 1) playing / his / not /

Διαβάστε περισσότερα

εἶμι, φημί, Indirect Discourse Intensive Classical Greek Prof. Kristina Chew June 28, 2016

εἶμι, φημί, Indirect Discourse Intensive Classical Greek Prof. Kristina Chew June 28, 2016 εἶμι, φημί, Indirect Discourse Intensive Classical Greek Prof. Kristina Chew June 28, 2016 Conditional Relative Clauses relative clauses referring to an indefinite person or thing (whoever, whatever, anyone,

Διαβάστε περισσότερα

Chapter 29. Adjectival Participle

Chapter 29. Adjectival Participle Chapter 29 Adjectival Participle Overview (29.3-5) Definition: Verbal adjective Function: they may function adverbially or adjectivally Forms: No new forms because adverbial and adjectival participles

Διαβάστε περισσότερα

derivation of the Laplacian from rectangular to spherical coordinates

derivation of the Laplacian from rectangular to spherical coordinates derivation of the Laplacian from rectangular to spherical coordinates swapnizzle 03-03- :5:43 We begin by recognizing the familiar conversion from rectangular to spherical coordinates (note that φ is used

Διαβάστε περισσότερα

Biblical Greek Exercises, Week#3, chapter 3

Biblical Greek Exercises, Week#3, chapter 3 Biblical Greek Exercises, Week#3, chapter 3 * Make Verb Cards as you were shown in class for all of the verbs listed on Black, p. 23. * Complete this table in pencil based on the table on p.18, bottom.

Διαβάστε περισσότερα

I am. Present indicative

I am. Present indicative εἰμί eimi Present indicative εἰμί εἶ ἐστί(ν) ἐσμέν ἐστέ εἰσί(ν) John 3:28 εἰμὶ ἐγὼ ὁ χριστός eimi ego ho christos John 3:28 εἰμὶ ἐγὼ ὁ χριστός eimi ego ho christos the Christ John 1:19 Σὺτίςεἶ; Su tis

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 1: Elements of Syntactic Structure Το περιεχόμενο του μαθήματος διατίθεται με άδεια

Διαβάστε περισσότερα

The Accusative Case. A Target for the Action. A lesson for the Paideia web-app Ian W. Scott, 2015

The Accusative Case. A Target for the Action. A lesson for the Paideia web-app Ian W. Scott, 2015 The Accusative Case A Target for the Action A lesson for the Paideia web-app Ian W. Scott, 2015 The Accusative Case So far we've seen three noun cases Nominative Genitive Vocative We need one more case

Διαβάστε περισσότερα

LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV. 10 December 2013

LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV. 10 December 2013 LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV 10 December 2013 I get up/i stand up I wash myself I shave myself I comb myself I dress myself Once (one time) Twice (two times) Three times Salary/wage/pay Alone/only

Διαβάστε περισσότερα

Ρηματική άποψη. (Aspect of the verb) Α. Θέματα και άποψη του ρήματος (Verb stems and aspect)

Ρηματική άποψη. (Aspect of the verb) Α. Θέματα και άποψη του ρήματος (Verb stems and aspect) 15 Ρηματική άποψη (Aspect of the verb) Α. Θέματα και άποψη του ρήματος (Verb stems and aspect) imperfective perfective Verb forms in Modern Greek are based either on the imperfective or the perfective

Διαβάστε περισσότερα

WEEK 21. The Feast of Firstfruits, the Feast of Pentecost, and the Feast of Tabernacles OUTLINE DAY 1

WEEK 21. The Feast of Firstfruits, the Feast of Pentecost, and the Feast of Tabernacles OUTLINE DAY 1 WEEK 21 The Feast of Firstfruits, the Feast of Pentecost, and the Feast of Tabernacles OUTLINE DAY 1 I. The Feast of Firstfruits signifies the resurrected Christ as the firstfruits for our enjoyment as

Διαβάστε περισσότερα

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS CHAPTER 5 SOLVING EQUATIONS BY ITERATIVE METHODS EXERCISE 104 Page 8 1. Find the positive root of the equation x + 3x 5 = 0, correct to 3 significant figures, using the method of bisection. Let f(x) =

Διαβάστε περισσότερα

Summer Greek. Lesson 10 Vocabulary. Greek Verbs. Greek Verbs. Greek Verbs: Conjugating. Greek Verbs: Conjugating. Croy Lesson 10

Summer Greek. Lesson 10 Vocabulary. Greek Verbs. Greek Verbs. Greek Verbs: Conjugating. Greek Verbs: Conjugating. Croy Lesson 10 A Lesson 10 Vocabulary Summer Greek Croy Lesson 10 Ω ἄγω αἴρω ἀναβαίνω ἀπέρχοµαι ἀποθνῄσκω ἀποκτείνω καταβαίνω µέλλω ὀφείλω συνάγω ἀπόστολος, ὁ ἱερόν, τό παρά (G,D,A) (+ gen.) from; (+ dat.) beside, with,

Διαβάστε περισσότερα

ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α. Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:.

ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α.  Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:. ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α 2 ειδήσεις από ελληνικές εφημερίδες: 1. Τα Νέα, 13-4-2010, Σε ανθρώπινο λάθος αποδίδουν τη συντριβή του αεροσκάφους, http://www.tanea.gr/default.asp?pid=2&artid=4569526&ct=2 2. Τα Νέα,

Διαβάστε περισσότερα

Παρελθόν. (Past) Formation. past imperfective. past perfective. active forms Α / Β Α Β

Παρελθόν. (Past) Formation. past imperfective. past perfective. active forms Α / Β Α Β 12 Παρελθόν (Past) In Greek there are three different sets of forms (both active and medio-passive), which refer to the past: the past perfective (αόριστος), the past imperfective (παρατατικός) and the

Διαβάστε περισσότερα

LESSON 16 (ΜΑΘΗΜΑ ΔΕΚΑΕΞΙ) REF : 102/018/16-BEG. 4 March 2014

LESSON 16 (ΜΑΘΗΜΑ ΔΕΚΑΕΞΙ) REF : 102/018/16-BEG. 4 March 2014 LESSON 16 (ΜΑΘΗΜΑ ΔΕΚΑΕΞΙ) REF : 102/018/16-BEG 4 March 2014 Family η οικογένεια a/one(fem.) μία a/one(masc.) ένας father ο πατέρας mother η μητέρα man/male/husband ο άντρας letter το γράμμα brother ο

Διαβάστε περισσότερα

Section 8.3 Trigonometric Equations

Section 8.3 Trigonometric Equations 99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.

Διαβάστε περισσότερα

Συντακτικές λειτουργίες

Συντακτικές λειτουργίες 2 Συντακτικές λειτουργίες (Syntactic functions) A. Πτώσεις και συντακτικές λειτουργίες (Cases and syntactic functions) The subject can be identified by asking ποιος (who) or τι (what) the sentence is about.

Διαβάστε περισσότερα

Midterm test Study Guide. A) Nominative, Genitive and Accusative endings and use. Nominative WHO does the action

Midterm test Study Guide. A) Nominative, Genitive and Accusative endings and use. Nominative WHO does the action Midterm test Study Guide A) Nominative, Genitive and Accusative endings and use Nominative WHO does the action Ο όροφος Ο βασιλιάς Ο υπηρέτης Η δασκάλα Η λίμνη Το παιδί Το γράμμα Το δώρο Οι όροφοι Οι βασιλιάδες

Διαβάστε περισσότερα

Approximation of distance between locations on earth given by latitude and longitude

Approximation of distance between locations on earth given by latitude and longitude Approximation of distance between locations on earth given by latitude and longitude Jan Behrens 2012-12-31 In this paper we shall provide a method to approximate distances between two points on earth

Διαβάστε περισσότερα

Galatia SIL Keyboard Information

Galatia SIL Keyboard Information Galatia SIL Keyboard Information Keyboard ssignments The main purpose of the keyboards is to provide a wide range of keying options, so many characters can be entered in multiple ways. If you are typing

Διαβάστε περισσότερα

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ

ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 4: English a Language of Economy Το περιεχόμενο του μαθήματος διατίθεται με άδεια

Διαβάστε περισσότερα

LESSON SEVEN: A BREAK FROM THE VERB AND INTRODUCTION OF THE NOUN

LESSON SEVEN: A BREAK FROM THE VERB AND INTRODUCTION OF THE NOUN LESSON SEVEN: A BREAK FROM THE VERB AND INTRODUCTION OF THE NOUN A. Summary on the verb So far we have been focused on the verb, and particularly the verb in the indicative mood and active voice. There

Διαβάστε περισσότερα

d. Case endings (Active follows declension patterns, Middle follows declension patterns)

d. Case endings (Active follows declension patterns, Middle follows declension patterns) Mounce 8 Handout: Aorist-stem PTCs Dr. Phillip Marshall. st Aorist Active and Middle PTC formations: a. Use Aorist Active stem, UN-augmented (not indicative!) b. Tense formative: -σα- c. Participle morpheme:

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΨΥΧΟΛΟΓΙΚΕΣ ΕΠΙΠΤΩΣΕΙΣ ΣΕ ΓΥΝΑΙΚΕΣ ΜΕΤΑ ΑΠΟ ΜΑΣΤΕΚΤΟΜΗ ΓΕΩΡΓΙΑ ΤΡΙΣΟΚΚΑ Λευκωσία 2012 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ

Διαβάστε περισσότερα

Οι αδελφοί Montgolfier: Ψηφιακή αφήγηση The Montgolfier Βrothers Digital Story (προτείνεται να διδαχθεί στο Unit 4, Lesson 3, Αγγλικά Στ Δημοτικού)

Οι αδελφοί Montgolfier: Ψηφιακή αφήγηση The Montgolfier Βrothers Digital Story (προτείνεται να διδαχθεί στο Unit 4, Lesson 3, Αγγλικά Στ Δημοτικού) Οι αδελφοί Montgolfier: Ψηφιακή αφήγηση The Montgolfier Βrothers Digital Story (προτείνεται να διδαχθεί στο Unit 4, Lesson 3, Αγγλικά Στ Δημοτικού) Προσδοκώμενα αποτελέσματα Περιεχόμενο Ενδεικτικές δραστηριότητες

Διαβάστε περισσότερα

NOM -**- [**] -ες / -εις [-α ] GEN -ος / -ως / -ους -ων. DAT -ι -σι. ACC -α / -ιν [**] -ας / -εις [-α ]

NOM -**- [**] -ες / -εις [-α ] GEN -ος / -ως / -ους -ων. DAT -ι -σι. ACC -α / -ιν [**] -ας / -εις [-α ] Croy Lesson 18 First Declension SINGULAR PLURAL NOM -α / -η [-ης]* -αι GEN -ας / -ης [-ου]* -ων DAT -ᾳ / -ῃ -αις ACC -αν / -ην -ας VOC -α / -η -αι *Masculine Nouns of First Declension Second Declension

Διαβάστε περισσότερα

1 John 5. LGNT - September 6, 2019 Page 1. Book Chapter Verse. Word # 1 John Greek. # of words. Numeric value. Interlinear English.

1 John 5. LGNT - September 6, 2019 Page 1. Book Chapter Verse. Word # 1 John Greek. # of words. Numeric value. Interlinear English. Book Chapter Verse Interlinear English Word # 1 John Greek # of letters # of words Numeric value 230501 everyone 01709 ΠΑΣ 3 281 230501 01710 Ο 1 70 230501 believing 01711 ΠΙΣΤΕΥΩΝ 8 1845 230501 that 01712

Διαβάστε περισσότερα

Code Breaker. TEACHER s NOTES

Code Breaker. TEACHER s NOTES TEACHER s NOTES Time: 50 minutes Learning Outcomes: To relate the genetic code to the assembly of proteins To summarize factors that lead to different types of mutations To distinguish among positive,

Διαβάστε περισσότερα

Verklarte Nacht, Op.4 (Εξαϋλωμένη Νύχτα, Έργο 4) Arnold Schoenberg (1874-1951)

Verklarte Nacht, Op.4 (Εξαϋλωμένη Νύχτα, Έργο 4) Arnold Schoenberg (1874-1951) 1 Verklarte Nacht, Op.4 (Εξαϋλωμένη Νύχτα, Έργο 4) Arnold Schoenberg (1874-1951) Αναγνώσματα από το βιβλίο Η Απόλαυση της Μουσικής (Machlis, Forney), για τους μαθητές που θα μελετήσουν το έργο: «Ο Σαίνμπεργκ

Διαβάστε περισσότερα

2 Composition. Invertible Mappings

2 Composition. Invertible Mappings Arkansas Tech University MATH 4033: Elementary Modern Algebra Dr. Marcel B. Finan Composition. Invertible Mappings In this section we discuss two procedures for creating new mappings from old ones, namely,

Διαβάστε περισσότερα

department listing department name αχχουντσ ϕανε βαλικτ δδσϕηασδδη σδηφγ ασκϕηλκ τεχηνιχαλ αλαν ϕουν διξ τεχηνιχαλ ϕοην µαριανι

department listing department name αχχουντσ ϕανε βαλικτ δδσϕηασδδη σδηφγ ασκϕηλκ τεχηνιχαλ αλαν ϕουν διξ τεχηνιχαλ ϕοην µαριανι She selects the option. Jenny starts with the al listing. This has employees listed within She drills down through the employee. The inferred ER sttricture relates this to the redcords in the databasee

Διαβάστε περισσότερα

Right Rear Door. Let's now finish the door hinge saga with the right rear door

Right Rear Door. Let's now finish the door hinge saga with the right rear door Right Rear Door Let's now finish the door hinge saga with the right rear door You may have been already guessed my steps, so there is not much to describe in detail. Old upper one file:///c /Documents

Διαβάστε περισσότερα

Section 1: Listening and responding. Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016

Section 1: Listening and responding. Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016 Section 1: Listening and responding Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016 Section 1: Listening and responding Section 1: Listening and Responding/ Aκουστική εξέταση Στο πρώτο μέρος της

Διαβάστε περισσότερα

Croy Lesson 19 PARTICIPLE CODES AORIST PARTICIPLES AORIST PARTICIPLES

Croy Lesson 19 PARTICIPLE CODES AORIST PARTICIPLES AORIST PARTICIPLES A Croy Lesson 19 Ω PARTICIPLES STEM + TENSE + THEME + PTCP CODE + ENDING PARTICIPLE CODES CASE ENDINGS ντ - masc and neut active (and AOR pass) 3rd τ - masc and neut PF active 3rd σ -fem active (and AOR

Διαβάστε περισσότερα

ΘΕΙΑΣ ΑΝΑΛΗΨΕΩΣ. Greek Orthodox Church. Ελληνική Ορθόδοξη Εκκλησία. Ecumenical Patriarchate Greek Orthodox Metropolis of New Jersey ASCENSION

ΘΕΙΑΣ ΑΝΑΛΗΨΕΩΣ. Greek Orthodox Church. Ελληνική Ορθόδοξη Εκκλησία. Ecumenical Patriarchate Greek Orthodox Metropolis of New Jersey ASCENSION Ecumenical Patriarchate Greek Orthodox Metropolis of New Jersey ASCENSION Greek Orthodox Church FAIRVIEW - NEW JERSEY Weekly Bulletin Sunday June 1 st, 2014 Fathers of the 1st Ecumenical Council Οικουμενικόν

Διαβάστε περισσότερα

Finite Field Problems: Solutions

Finite Field Problems: Solutions Finite Field Problems: Solutions 1. Let f = x 2 +1 Z 11 [x] and let F = Z 11 [x]/(f), a field. Let Solution: F =11 2 = 121, so F = 121 1 = 120. The possible orders are the divisors of 120. Solution: The

Διαβάστε περισσότερα

Instruction Execution Times

Instruction Execution Times 1 C Execution Times InThisAppendix... Introduction DL330 Execution Times DL330P Execution Times DL340 Execution Times C-2 Execution Times Introduction Data Registers This appendix contains several tables

Διαβάστε περισσότερα

3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β

3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β 3.4 SUM AND DIFFERENCE FORMULAS Page Theorem cos(αβ cos α cos β -sin α cos(α-β cos α cos β sin α NOTE: cos(αβ cos α cos β cos(α-β cos α -cos β Proof of cos(α-β cos α cos β sin α Let s use a unit circle

Διαβάστε περισσότερα

BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN. Fairly true If I decide to learn something hard, I can.

BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN. Fairly true If I decide to learn something hard, I can. BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN Name GRADE Science Teacher A. What do I think about School? bit I try hard to do well in school. I look forward to coming to school.

Διαβάστε περισσότερα

EE512: Error Control Coding

EE512: Error Control Coding EE512: Error Control Coding Solution for Assignment on Finite Fields February 16, 2007 1. (a) Addition and Multiplication tables for GF (5) and GF (7) are shown in Tables 1 and 2. + 0 1 2 3 4 0 0 1 2 3

Διαβάστε περισσότερα

Στην παθητική φωνή η έμφαση δίνεται στην πράξη όχι στο ποιος την διέπραξε.

Στην παθητική φωνή η έμφαση δίνεται στην πράξη όχι στο ποιος την διέπραξε. THE PASSIVE VOICE ΠΑΘΗΤΙΚΗ ΦΩΝΗ Στην παθητική φωνή η έμφαση δίνεται στην πράξη όχι στο ποιος την διέπραξε. Είναι επίσης πιθανό είτε κάποιος να αγνοεί το άτομο που έκανε κάτι (το ποιητικό αίτιο agent) είτε

Διαβάστε περισσότερα

Conditional Sentences

Conditional Sentences Conditional Sentences It all depends! A lesson for the Paideia web-app Ian W. Scott, 2015 What is a conditional sentence? An If then sentence States that something will happen if some condition is fulfilled

Διαβάστε περισσότερα

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required)

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required) Phys460.nb 81 ψ n (t) is still the (same) eigenstate of H But for tdependent H. The answer is NO. 5.5.5. Solution for the tdependent Schrodinger s equation If we assume that at time t 0, the electron starts

Διαβάστε περισσότερα

GREEK GRAMMAR I Future Active and Middle-Deponent Indicative Tense Dr. Marshall

GREEK GRAMMAR I Future Active and Middle-Deponent Indicative Tense Dr. Marshall GREEK GRAMMAR I Future Active and Middle-Deponent Indicative Tense Dr. Marshall I. Future Active Indicative A. Basics: Stem: The Greek future tense uses the Future Active Stem (sometimes the same as the

Διαβάστε περισσότερα

Declension of the definite article

Declension of the definite article Greek alphabet Α α Alpha Ν ν Nu Β β Beta Ξ ξ Xi Γ γ Gamma Ο ο Omicron Δ δ Delta Π π Pi Ε ε Epsilon Ρ ρ Rho Ζ ζ Zeta Σ σ ς Sigma Η η Eta Τ τ Tau Θ θ Theta Υ υ Upsilon Ι ι Iota Φ φ Phi Κ κ Kappa Χ χ Khi

Διαβάστε περισσότερα

Strain gauge and rosettes

Strain gauge and rosettes Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified

Διαβάστε περισσότερα

Summer Greek. Greek Verbs -TENSE ASPECT. Greek Verbs. Greek Verbs. Greek Verbs. Greek Verbs. Croy Lesson 9. KINDof action.

Summer Greek. Greek Verbs -TENSE ASPECT. Greek Verbs. Greek Verbs. Greek Verbs. Greek Verbs. Croy Lesson 9. KINDof action. A -TENSE ASPECT Summer Greek Croy Lesson 9 Ω KINDof action CONTINUING (ongoing, linear) COMPLETED (with result or ongoing effect) SIMPLE (affirmation of action w/out regard to duration or completion) TIME

Διαβάστε περισσότερα

ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ

ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ Ενότητα 1β: Principles of PS Ιφιγένεια Μαχίλη Τμήμα Οικονομικών Επιστημών Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης

Διαβάστε περισσότερα

ΑΓΓΛΙΚΑ ΙΙΙ. Ενότητα 12b: The Little Prince. Ζωή Κανταρίδου Τμήμα Εφαρμοσμένης Πληροφορικής

ΑΓΓΛΙΚΑ ΙΙΙ. Ενότητα 12b: The Little Prince. Ζωή Κανταρίδου Τμήμα Εφαρμοσμένης Πληροφορικής Ενότητα 12b: The Little Prince Τμήμα Εφαρμοσμένης Πληροφορικής Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative Commons. Για εκπαιδευτικό υλικό, όπως εικόνες, που υπόκειται

Διαβάστε περισσότερα

Math221: HW# 1 solutions

Math221: HW# 1 solutions Math: HW# solutions Andy Royston October, 5 7.5.7, 3 rd Ed. We have a n = b n = a = fxdx = xdx =, x cos nxdx = x sin nx n sin nxdx n = cos nx n = n n, x sin nxdx = x cos nx n + cos nxdx n cos n = + sin

Διαβάστε περισσότερα

Calculating the propagation delay of coaxial cable

Calculating the propagation delay of coaxial cable Your source for quality GNSS Networking Solutions and Design Services! Page 1 of 5 Calculating the propagation delay of coaxial cable The delay of a cable or velocity factor is determined by the dielectric

Διαβάστε περισσότερα

Perfect Participles. A lesson for the Paideia web-app Ian W. Scott, 2015

Perfect Participles. A lesson for the Paideia web-app Ian W. Scott, 2015 Perfect Participles A lesson for the Paideia web-app Ian W. Scott, 2015 Remember the Components of a Participle Stem Tense marker Connecting vowel Voice indicator Case ending Resulting form λυ σ α ντ ος

Διαβάστε περισσότερα

ΑΛΕΞΑΝΔΡΟΣ ΠΑΛΛΗΣ SCHOOLTIME E-BOOKS

ΑΛΕΞΑΝΔΡΟΣ ΠΑΛΛΗΣ SCHOOLTIME E-BOOKS ΟΜΗΡΟΥ ΙΛΙΑΔΑ ΑΛΕΞΑΝΔΡΟΣ ΠΑΛΛΗΣ SCHOOLTIME E-BOOKS www.scooltime.gr [- 2 -] The Project Gutenberg EBook of Iliad, by Homer This ebook is for the use of anyone anywhere at no cost and with almost no restrictions

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΟΣ ΣΥΝΔΕΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY 21 ος ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ Δεύτερος Γύρος - 30 Μαρτίου 2011

ΚΥΠΡΙΑΚΟΣ ΣΥΝΔΕΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY 21 ος ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ Δεύτερος Γύρος - 30 Μαρτίου 2011 Διάρκεια Διαγωνισμού: 3 ώρες Απαντήστε όλες τις ερωτήσεις Μέγιστο Βάρος (20 Μονάδες) Δίνεται ένα σύνολο από N σφαιρίδια τα οποία δεν έχουν όλα το ίδιο βάρος μεταξύ τους και ένα κουτί που αντέχει μέχρι

Διαβάστε περισσότερα

ΦωτίστεΤονΚόσμο. ΠΡΩΤΟΒΟΥΛΙΑ ΧΡΙΣΤΟΥΓΕΝΝΩΝ Νοεμβρίου Δεκεμβρίου 2017

ΦωτίστεΤονΚόσμο. ΠΡΩΤΟΒΟΥΛΙΑ ΧΡΙΣΤΟΥΓΕΝΝΩΝ Νοεμβρίου Δεκεμβρίου 2017 ΦωτίστεΤονΚόσμο ΠΡΩΤΟΒΟΥΛΙΑ ΧΡΙΣΤΟΥΓΕΝΝΩΝ 2017 24 Νοεμβρίου -- 25 Δεκεμβρίου 2017 ΘΕΜΑ «Καθώς ακολουθούμε το παράδειγμα του Σωτήρος και ζούμε όπως ζούσε Εκείνος και όπως δίδασκε, αυτό το φως θα καίει μέσα

Διαβάστε περισσότερα

Passive and Middle Voices. A lesson for the Paideia web-app Ian W. Scott, 2015

Passive and Middle Voices. A lesson for the Paideia web-app Ian W. Scott, 2015 Passive and Middle Voices A lesson for the Paideia web-app Ian W. Scott, 2015 The Passive Voice So far all of our Greek verbs have been in the active voice Subject performs the verbal action "Clare is

Διαβάστε περισσότερα

John Mavrikakis ENGLISH MULTIBOOK

John Mavrikakis ENGLISH MULTIBOOK units 201 John Mavrikakis ENGLISH MULTIBOOK e-learning for language students (grammar, vocabulary, reading) level 2 (Junior A) DEMO STUDENT S UNIT 10 The alphabet, a, b, c, d, e, f, g, h, i, j, k, l, A,

Διαβάστε περισσότερα

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch:

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch: HOMEWORK 4 Problem a For the fast loading case, we want to derive the relationship between P zz and λ z. We know that the nominal stress is expressed as: P zz = ψ λ z where λ z = λ λ z. Therefore, applying

Διαβάστε περισσότερα

Section 9.2 Polar Equations and Graphs

Section 9.2 Polar Equations and Graphs 180 Section 9. Polar Equations and Graphs In this section, we will be graphing polar equations on a polar grid. In the first few examples, we will write the polar equation in rectangular form to help identify

Διαβάστε περισσότερα

LESSON 26 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΕΞΙ) REF : 102/030/26. 18 November 2014

LESSON 26 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΕΞΙ) REF : 102/030/26. 18 November 2014 LESSON 26 (ΜΑΘΗΜΑ ΕΙΚΟΣΙ ΕΞΙ) REF : 102/030/26 18 November 2014 But Weekend I love The song I sing I smile I laugh Greek (thing) Greek(people) Greek (man) αλλά (το) Σαββατοκύριακο αγαπώ (το) τραγούδι τραγουδώ

Διαβάστε περισσότερα

Review 4n.1: Vowel stems of the third declension: πόλις, πρέσβυς

Review 4n.1: Vowel stems of the third declension: πόλις, πρέσβυς Review 4n.1: Vowel stems of the third declension: πόλις, πρέσβυς We review side by side a model of stems ending in ι: πόλις, πόλεως, ἡ = city-state and a masculine model of stems ending in υ: πρέσβυς,

Διαβάστε περισσότερα

Example Sheet 3 Solutions

Example Sheet 3 Solutions Example Sheet 3 Solutions. i Regular Sturm-Liouville. ii Singular Sturm-Liouville mixed boundary conditions. iii Not Sturm-Liouville ODE is not in Sturm-Liouville form. iv Regular Sturm-Liouville note

Διαβάστε περισσότερα

Subject - Students love Greek.

Subject - Students love Greek. A Summer Greek 2009 Ω Parts of Speech NOUN - person, place, thing, quality, idea, or action ARTICLE Indefinite = a / an ; Definite = the ADJECTIVE - describes a noun (includes in/definite articles) VERB

Διαβάστε περισσότερα

Mounce Handout: Introduction to Participles (PTCs), Present-stem PTCs Dr. Phillip Marshall

Mounce Handout: Introduction to Participles (PTCs), Present-stem PTCs Dr. Phillip Marshall Mounce 26-27 Handout: Introduction to Participles (PTCs), Present-stem PTCs Dr. Phillip Marshall What are PTCs?. Participles are verbal adjectives!! They have verbal characteristics (can be marked in Greek

Διαβάστε περισσότερα

LESSON 9 (ΜΑΘΗΜΑ ΕΝΝΙΑ) REF: 202/053/29-ADV. 14 January 2014

LESSON 9 (ΜΑΘΗΜΑ ΕΝΝΙΑ) REF: 202/053/29-ADV. 14 January 2014 LESSON 9 (ΜΑΘΗΜΑ ΕΝΝΙΑ) REF: 202/053/29-ADV 14 January 2014 Nobody/No-one Κανένας/καμία/κανένα What s the matter?/what s happening? Τι συμβαίνει; (simvenee) All right/ok εντάξει Moment η στιγμή (stigmee)

Διαβάστε περισσότερα

Homework 3 Solutions

Homework 3 Solutions Homework 3 Solutions Igor Yanovsky (Math 151A TA) Problem 1: Compute the absolute error and relative error in approximations of p by p. (Use calculator!) a) p π, p 22/7; b) p π, p 3.141. Solution: For

Διαβάστε περισσότερα

Croy Lesson 9. => Kind of action and time of action. using the verb λύω

Croy Lesson 9. => Kind of action and time of action. using the verb λύω A - TENSE ASPECT Summer Greek 2009 Croy Lesson 9 Ω KIND of action CONTINUING (ongoing, linear) COMPLETED (with result or ongoing effect) SIMPLE (affirmation of action w/out regard to duration or completion)

Διαβάστε περισσότερα

4.6 Autoregressive Moving Average Model ARMA(1,1)

4.6 Autoregressive Moving Average Model ARMA(1,1) 84 CHAPTER 4. STATIONARY TS MODELS 4.6 Autoregressive Moving Average Model ARMA(,) This section is an introduction to a wide class of models ARMA(p,q) which we will consider in more detail later in this

Διαβάστε περισσότερα

Κατανοώντας και στηρίζοντας τα παιδιά που πενθούν στο σχολικό πλαίσιο

Κατανοώντας και στηρίζοντας τα παιδιά που πενθούν στο σχολικό πλαίσιο Κατανοώντας και στηρίζοντας τα παιδιά που πενθούν στο σχολικό πλαίσιο Δρ. Παναγιώτης Πεντάρης - University of Greenwich - Association for the Study of Death and Society (ASDS) Περιεχόµενα Εννοιολογικές

Διαβάστε περισσότερα

Summer Greek. Greek Verbs - TENSE ASPECT. Greek Verbs. Greek Verbs. Greek Verbs. Greek Verbs. Croy Lesson 9

Summer Greek. Greek Verbs - TENSE ASPECT. Greek Verbs. Greek Verbs. Greek Verbs. Greek Verbs. Croy Lesson 9 A - TENSE ASPECT Summer Greek Croy Lesson 9 Ω KIND of action CONTINUING (ongoing, linear) COMPLETED (with result or ongoing effect) SIMPLE (affirmation of action w/out regard to duration or completion)

Διαβάστε περισσότερα

Passive and Middle Voices. A lesson for the Paideia web-app Ian W. Scott, 2015

Passive and Middle Voices. A lesson for the Paideia web-app Ian W. Scott, 2015 Passive and Middle Voices A lesson for the Paideia web-app Ian W. Scott, 2015 The Passive Voice So far all of our Greek verbs have been in the active voice Subject performs the verbal action "Clare is

Διαβάστε περισσότερα

«ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE

«ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE «ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE We would like to invite you to participate in GAMIAN- Europe research project. You should only participate if you want to and choosing

Διαβάστε περισσότερα

Concrete Mathematics Exercises from 30 September 2016

Concrete Mathematics Exercises from 30 September 2016 Concrete Mathematics Exercises from 30 September 2016 Silvio Capobianco Exercise 1.7 Let H(n) = J(n + 1) J(n). Equation (1.8) tells us that H(2n) = 2, and H(2n+1) = J(2n+2) J(2n+1) = (2J(n+1) 1) (2J(n)+1)

Διαβάστε περισσότερα

Exercises 10. Find a fundamental matrix of the given system of equations. Also find the fundamental matrix Φ(t) satisfying Φ(0) = I. 1.

Exercises 10. Find a fundamental matrix of the given system of equations. Also find the fundamental matrix Φ(t) satisfying Φ(0) = I. 1. Exercises 0 More exercises are available in Elementary Differential Equations. If you have a problem to solve any of them, feel free to come to office hour. Problem Find a fundamental matrix of the given

Διαβάστε περισσότερα

LESSON 5 (ΜΑΘΗΜΑ ΠΕΝΤΕ) REF: 201/033/25-ADV. 3 December 2013

LESSON 5 (ΜΑΘΗΜΑ ΠΕΝΤΕ) REF: 201/033/25-ADV. 3 December 2013 LESSON 5 (ΜΑΘΗΜΑ ΠΕΝΤΕ) REF: 201/033/25-ADV 3 December 2013 Place/seat η θέση (thesi) Right (noun) το δίκιο (dikio) I am right έχω δίκιο (eho dikio) Wrong (noun) άδικο (adiko) I am wrong έχω άδικο δεν

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Αν κάπου κάνετε κάποιες υποθέσεις να αναφερθούν στη σχετική ερώτηση. Όλα τα αρχεία που αναφέρονται στα προβλήματα βρίσκονται στον ίδιο φάκελο με το εκτελέσιμο

Διαβάστε περισσότερα

Advanced Subsidiary Unit 1: Understanding and Written Response

Advanced Subsidiary Unit 1: Understanding and Written Response Write your name here Surname Other names Edexcel GE entre Number andidate Number Greek dvanced Subsidiary Unit 1: Understanding and Written Response Thursday 16 May 2013 Morning Time: 2 hours 45 minutes

Διαβάστε περισσότερα

ΟΙ ΑΞΙΕΣ ΤΗΣ ΖΩΗΣ THE VALUES OF LIFE Η ΥΠΕΥΘΥΝΟΤΗΤΑ..THE RESPONSIBILITY ΔΗΜΗΤΡΑ ΚΩΝΣΤΑΝΤΙΝΟΥ

ΟΙ ΑΞΙΕΣ ΤΗΣ ΖΩΗΣ THE VALUES OF LIFE Η ΥΠΕΥΘΥΝΟΤΗΤΑ..THE RESPONSIBILITY ΔΗΜΗΤΡΑ ΚΩΝΣΤΑΝΤΙΝΟΥ ΟΙ ΑΞΙΕΣ ΤΗΣ ΖΩΗΣ THE VALUES OF LIFE Η ΥΠΕΥΘΥΝΟΤΗΤΑ..THE RESPONSIBILITY ΔΗΜΗΤΡΑ ΚΩΝΣΤΑΝΤΙΝΟΥ ΜΑΘΗΜΑΤΑ ΥΠΕΥΘΥΝΟΤΗΤΑΣ/ LESSONS ABOUT RESPONSIBILITY Μάθημα 1: Νιώθω υπερήφανος όταν.../ I feel proud when.

Διαβάστε περισσότερα

Newborn Upfront Payment & Newborn Supplement

Newborn Upfront Payment & Newborn Supplement GREEK Newborn Upfront Payment & Newborn Supplement Female 1: Το μωρό μου θα ρθει σύντομα, θα πρέπει να κανονίσω τα οικονομικά μου. Άκουσα ότι η κυβέρνηση δεν δίνει πλέον το Baby Bonus. Ξέρεις τίποτα γι

Διαβάστε περισσότερα