Zeus Guide to Participles
|
|
- Τίμαιος Λιακόπουλος
- 7 χρόνια πριν
- Προβολές:
Transcript
1 Zeus Guide to Participles Hello! My name is Zeus! As Lord of the Universe, I invented something for my favorite language in the universe. That invention is participles (PTCs). Here follows my user-friendly Guide to Participles. Yes, it s a bit long and intricate. But it s also designed to direct you to the info you need. Enjoy! 1 FORMS: Rules of Thumb Remember certain rules of thumb: 1. When working with PTCs, try your best to determine (a) if it really is a PTC in the first place, and (b), if so, what its form is. Use the very excellent paradigm tables at the end of vols. 1 and 2 of Athenaze. Do not, in other words, simply guess; check! 2. Middle PTCs (-μενος etc. forms) are declined (have adjective endings) like 1 st /2 nd declension adjectives, for instance, καλός (masc. 2 nd decl.), καλή (fem. 1 st decl), καλόν (neut. 2 nd decl.). Hence pres. mid PTCs of λύομαι, ransom, SINGULAR masc. fem. neut. nom. λυμόμεν-ος λυμομέν-η λυόμεν-ον gen. λυμομέν-ου λυμομέν-ης λυμομέν-ου etc. 3. Active PTCs and aorist passive PTCs always decline according to the following, basic pattern: masc. & neut: THIRD DECL. feminine: FIRST DECL. (like nouns with short alpha). For example: Present active ptc of λύω λύων λύουσα λύον λυόντος λυούσης λύοντος λύοντι λυούσῃ λύοντι λύοντα λύουσαν λύον etc.
2 Zeus s Guide to Participles GRK 101 and up 2 Aorist passive ptc of λύω λυθείς λυθεῖσα λυθέν λυθέντος λυθείσης λυθέντος etc. 4. As adjectival forms of verbs, PTCs must agree with the noun or pronoun (expressed or implied) that they modify in case, number, and gender. 5. Generally speaking, when making finite verbs into PTCs, retain the tense. a. PTCs don t always, though they can, indicate time. b. Where they indicate time, that s relative to the main verb. (Aorist = time prior to main verb, present = time during.) c. Otherwise, they indicate aspect. (Aorist ptcs = undefined aspect, i.e., simple action. Present PTCs = imperfective aspect, action repeated, continuous, initiated, vivid, etc.) 2 Generic or Default Translating PTCs can almost (but not quite) always be translated with an -ing form (active and middle) or with some variant of an -ed form (passive). ὁ κύων τρέχων οἴκαδε σπεύδει. The dog, running, hurries home. ὁ τρέχων κύων. The running dog. Still, the syntax of PTCs can mostly be understood as alternate ways of expressing something else, often a clause of some kind. Try always to translate PTCs idiomatically, not mechanically; see further below. 3 SYNTAX: Clause Replacement Use of Participles Here follow various clause-replacement uses of PTCs: usages that can be understood as standing in for a variety of subordinate clauses. These will be PTCs in the predicate position (no article attached to front of them). These usually go best into English as if you re translating the subordinate clause they re intercahngeable with. 3.1 Conditional If the dog is (isn t) running, it is (isn t) happy. ὁ κύων, ἐὰν (μὴ) τρέχῃ, (οὐ) χαίρει. ὁ κύων (μὴ) τρέχων (οὐ) χαιρει. Note that a negative protasis, whether clause or PTC, always μή.
3 Zeus s Guide to Participles GRK 101 and up Causal Because/since/inasmuch as the dog is (isn t) running, it is (isn t) happy. ὁ κύων (οὐ) χαίρει ὅτι (οὐ) τρέχει. ὁ κύων (οὐ) χαίρει ἅτε (οὐ) τρέχων. Note the οὐ negative in preceding. ἅτε can be translated as inasmuch as. You don t need it for causal PTCs; it stresses that the speaker or writer alleges the cause on her/his own authority. 3.3 Concessive Although the dog is running, still, it is isn t happy. ὁ κύων, εἰ καὶ τρέχει, ὅμως οὐ χαίρει. ὁ κύων, καίπερ τρέχων, ὅμως οὐ χαίρει. καίπερ can be translated as although. It emphasizes concession, but is not always found with concessive PTCs. 3.4 Temporal/Circumstantial When(ever) the dog is running, it is happy. ὁ κύων, ὅταν τρέχῃ, χαίρει. ὁ κύων τρέχων χαίρει. These can be indistinguishable from conditional or causal PTCs. 3.5 Future Participle of Purpose The dog runs in order to be happy. ὁ κύων τρέχει ἵνα χαίρῃ. ὁ κύων τρέχει χαιρήσων. 3.6 Use of ὡς with Participles ὡς with a participle sets forth the ground of belief on which the agent acts (Smyth 2086), especially with ptcs of cause or purpose: ὁ κύων χαίρει ὡς τρέχων (cause). The dog is happy because, so it thinks, it is running. OR The dog is happy as if because it is running. OR The dog is happy under the pretence that it is running.
4 Zeus s Guide to Participles GRK 101 and up 4 ὁ κύων τρέχει ὡς χαιρήσων (purpose). The dog runs in the belief that it will thereby be happy. OR The dog runs as if for the purpose of becoming happy. 3.7 Absolute Participles Greek has two absolute ptcs constructions: genitive and accusative. The term absolute here simply means that the PTC is in a case (gen. or acc.) flagging its non-participation in the syntax of the main part of the sentence. (Actually, the origin of these was probably not absolute but adverbial: for gen. abs., genitive of cause, for acc., the adverbial accusative.) Absolute PTCs, whether genitive or accusative, are always of the clause-replacement variety Genitive Absolute: When Used, When Not The point of the genitive is only to show that the noun or pronoun the PTC modifies has no syntactic connection to the rest of the sentence. Not gen. absol.: ὁ κύων χαίρει ἅτε τρέχων. ( The dog is happy inasmuch as it is running. ) The PTC (τρέχων) modifies a noun (κύων) playing a grammar role in the main part of the sentence. Yes gen. absol.! ὁ φίλιππος χαίρει ἅτε τοῦ κυνὸς τρέχοντος. ( Philip is happy inasmuch as the dog is running. ) The PTC (τρέχοντος) does modifies a noun (κυνός) not playing a grammar role in the main part of the sentence Accusative Absolute Accusative absolute is like the genitive absolute except in one way: the noun/pronoun it modifies is always impersonal and unexpressed i.e., it is used only with impersonal verbs. Acc. absolutes are always impersonal verbs in a neuter accusative singular form of the PTC: It being necessary for the dog to run, Philip is happy. δέον τὸν κύνα τρέχειν, ὁ Φίλιππος χαίρει. The PTC phrase still stands outside the syntax of the rest of the sentence, except that the PTC itself is impersonal and so has nothing it modifies.
5 Zeus s Guide to Participles GRK 101 and up Modal Participles Regular Modal Participles Modal PTCs are like clause-replacement PTCs (above), except they are usually translated as if adverbs. That is, in terms of meaning, that have to do with the how of the verb, though in terms of grammar, they still modify an expressed or unexpressed noun or pronoun. The dog happily runs (lit. being-happy runs ). ὁ κύων τρέχει χαίρων Special/Idiomatic Modal Participles: λανθάνω, φθάνω λανθάνω and φθάνω regularly appear as modal PTCs (usually in aorist) with idiomatic meanings: The dog runs unseen to the boy. ὁ κύων τρέχει λαθὼν τὸν παῖδα. (Quasi-Lit., The dog runs blinding the boy [to its running]. ) The dog runs before the boy gets a chance to. (Lit., The dog anticipating the boy runs. ) ὁ κύων τρέχει φθάσας τὸν παῖδα. 4 SYNTAX: Series Replacement Participles These are PTCs that replace verbs lined up sequentially, one action following the preceeding in time. All but the last action will typically be represented by an aorist particicple; but the non-ptc at end may well be in aor, too! The dog got up, went out, ran, and went back in. (Lit., Having got up, gone out, run, the dog went back in. ) ὁ κύων, ἑαυτὸν ἄρας, ἐξελθὼν, δραμὼν, εἰσῆλθεν. 5 SYNTAX: Noun-Phrase/Clause This is the use of ptcs in the attributive position, i.e., preceeded by an article. These can be translated with noun phrases, relative clauses (w/ w/o demonstrative), nouns, etc. The dogs that run, the running dogs οἱ τρέχοντες κύνες Those who run, the runners
6 Zeus s Guide to Participles GRK 101 and up 6 οἱ τρέχοντες You can even find these without the article: τρέχοντες, those who run, runners 6 SYNTAX: Indirect Discourse Participles with Verbs of Perception I see the dog running. I see that the dog is running. ὁρῶ τὸν κύνα τρέχοντα. 7 SYNTAX: Complementary Participles The following are basically idiomatic usages of PTCs filling out (complementary) the meaning of a special verb. Note that the PTC itself usually cannot be translated into an English -ing or -ed form. The dog happens to be running. (Lit., The dog hits-upon [while] running. ) ὁ κύων τυγχάνει τρέχων. The dog is evidently/plainly running. ὁ κύων φαίνεται τρέχων.
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 περισσότεραPresent 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 περισσότεραΣυντακτικές 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 περισσότεραAdjectives. 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 περισσότεραMounce 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 περισσότεραCroy 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 περισσότερα14 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 περισσότεραCroy 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 περισσότεραΛέξεις, φράσεις και προτάσεις
1 Λέξεις, φράσεις και προτάσεις (Words, phrases and clauses) The Greek language, like all human languages, has a Lexicon and a Grammar that are used to create sentences. The Lexicon consists of the words
Διαβάστε περισσότεραd. 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 περισσότεραNOM -**- [**] -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 περισσότεραSummer Greek. Lesson 3. NOUNS GENDER (does not refer to fe/male) masculine feminine neuter NUMBER singular plural. NOUNS -Case.
A Summer Greek Lesson 3 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) PRONOUN-word
Διαβάστε περισσότεραεἶμι, 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 περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ 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 περισσότεραSubject - 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 περισσότεραLESSON 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 περισσότεραPhys460.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 περισσότεραPerfect 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 περισσότεραThe 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 περισσότεραSummer Greek Lesson 3 - Vocabulary
A Summer Greek 2006 Ω ἀδελφή, ἡ ἀλήθεια, ἡ βασιλεία, ἡ δόξα, ἡ ἐκκλησία, ἡ ἔχω ζωή, ἡ ἡμέρα, ἡ θάλασσα, ἡ καρδία, ἡ φωνή, ἡ ὥρα, ἡ Parts of Speech NOUN - person, place, thing, quality, idea, or action
Διαβάστε περισσότεραAorist Participles. Verbal Adjectives. A lesson for the Paideia web-app Ian W. Scott, 2015
Aorist Participles Verbal Adjectives A lesson for the Paideia web-app Ian W. Scott, 2015 Getting Started with Participles Participles are the fourth verbal mood we have learned Indicative (ordinary verbs)
Διαβάστε περισσότεραLESSON 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 περισσότεραHomework 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 περισσότεραCHAPTER 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 περισσότεραThe Simply Typed Lambda Calculus
Type Inference Instead of writing type annotations, can we use an algorithm to infer what the type annotations should be? That depends on the type system. For simple type systems the answer is yes, and
Διαβάστε περισσότεραCroy Lessons Second Declension. First Declension PARTICIPLES. THIRD Declension. -αι -ας. -ον. -οι. -ος. / -ης. -ων. -ου. -αν. / -ον.
Croy Lessons 18-20 Greek Verb Formation Αug Redp STEM Tense Theme Ending PRES ACT -- STEM -- o/ε PRES M/P/D -- STEM -- o/ε IMPF ACT ἐ STEM -- o/ε ΙΜPF M/P ἐ STEM -- o/ε FUT ACT -- STEM σ o/ε FUT M/D --
Διαβάστε περισσότεραThe Greek Participle. Lesson 7 Felix H. Cortez
The Greek Participle Lesson 7 Felix H. Cortez Table of Contents What is the Greek Participle? How do I recognize it? How should I translate it? What do I need to memorize? What Is a Participle? What Is
Διαβάστε περισσότεραCroy 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 περισσότεραChapter 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 περισσότερα2 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 περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ 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 περισσότεραCroy Lessons GEN GEN. Αug Redp STEM Tense Theme Ending. *Masculine Nouns of First Declension
Croy Lessons 18-20 Greek Verb Formation Αug Redp STEM Tense Theme Ending PRES ACT -- STEM -- o/ε PRES M/P/D -- STEM -- o/ε IMPF ACT ἐ STEM -- o/ε ΙΜPF M/P ἐ STEM -- o/ε FUT ACT -- STEM σ o/ε FUT M/D --
Διαβάστε περισσότεραFinite 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 περισσότεραΠαρελθόν. (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 περισσότεραCroy Lessons PARTICIPLES PARTICIPLES PARTICIPLES PARTICIPLES PARTICIPLES. >> CIRCUMSTANTIAL (ADVERBIAL) Under the circumstance of (UTC )
Croy Lessons 18-20 Greek Verb Formation Αug Redp STEM Tense Theme Ending PRES ACT -- STEM -- o/ε PRES M/P/D -- STEM -- o/ε IMPF ACT ἐ STEM -- o/ε ΙΜPF M/P ἐ STEM -- o/ε FUT ACT -- STEM σ o/ε FUT M/D --
Διαβάστε περισσότεραderivation 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 περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ 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 περισσότερα21. δεινός: 23. ἀγορά: 24. πολίτης: 26. δοῦλος: 28. σῶμα: 31. Ἑλλας: 32. παῖς: 34. ὑπέρ: 35. νύξ: 39. μῶρος: 40. ἀνήρ:
Vocabulary: Give one English meaning and nothing more. 1. ἔτος: 2. τότε: 3. θάνατος: 4. ἐλαύνω: 5. γυνή: 6. ὑπό: 7. λείπω: 8. περί: 9. πόλις: 10. ἄστυ: 11. νομίζω: 12. ἀπάγω: 13. τεῖχος: 14. ὀλίγος: 15.πίπτω:
Διαβάστε περισσότεραSection 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 περισσότεραHOMEWORK 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 περισσότεραLESSON 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 περισσότεραHW 15 Due MONDAY April 22, TEST on TUESDAY April 23, 2019
Όνομα: Τάξη: Αριθμό# (Greek First and Last name) Name: HW 5 Due MONDAY April 22, 209 TEST on TUESDAY April 23, 209 For My HW 5: Part A page 2: - Grammar - Use Grammar notes (p.3) to answer Part A questions
Διαβάστε περισσότεραΦΥΛΛΟ 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 περισσότεραWriting 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 περισσότεραSummer 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 περισσότεραCroy Lessons Second Declension. First Declension PARTICIPLES. THIRD Declension SINGULAR PLURAL SINGULAR PLURAL. NOM -α / -η [-ης]* -αι
Croy Lessons 18-20 Greek Verb Formation Αug Redp STEM Tense Theme Ending PRES ACT -- STEM -- o/ε PrimAct PRES M/P/D -- STEM -- o/ε PrimMP IMPF ACT ἐ STEM -- o/ε SecAct ΙΜPF M/P ἐ STEM -- o/ε SecMP FUT
Διαβάστε περισσότεραInstruction 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 περισσότεραDeclension 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 περισσότεραC.S. 430 Assignment 6, Sample Solutions
C.S. 430 Assignment 6, Sample Solutions Paul Liu November 15, 2007 Note that these are sample solutions only; in many cases there were many acceptable answers. 1 Reynolds Problem 10.1 1.1 Normal-order
Διαβάστε περισσότεραSummer 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 περισσότεραExample 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 περισσότεραΑντωνυμίες. (Pronouns) Α. Προσωπικές αντωνυμίες (Personal pronouns)
8 Αντωνυμίες (Pronouns) Α. Προσωπικές αντωνυμίες (Personal pronouns) The personal pronouns refer to the first, second or the third person. In Modern Greek there are two categories of personal pronouns:
Διαβάστε περισσότεραΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΒΑΛΕΝΤΙΝΑ ΠΑΠΑΔΟΠΟΥΛΟΥ Α.Μ.: 09/061. Υπεύθυνος Καθηγητής: Σάββας Μακρίδης
Α.Τ.Ε.Ι. ΙΟΝΙΩΝ ΝΗΣΩΝ ΠΑΡΑΡΤΗΜΑ ΑΡΓΟΣΤΟΛΙΟΥ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ «Η διαμόρφωση επικοινωνιακής στρατηγικής (και των τακτικών ενεργειών) για την ενδυνάμωση της εταιρικής
Διαβάστε περισσότεραΑΓΓΛΙΚΗ 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 περισσότεραΕπίθετα. (Adjectives)
6 Επίθετα (Adjectives) Greek adjectives are inflected words which either modify nouns (τα κόκκινα τριαντάφυλλα) or attribute a property to them (τα τριαντάφυλλα είναι ακριβά). Adjectives must agree with
Διαβάστε περισσότεραCroy 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 περισσότεραCroy 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 περισσότεραΣτοιχεία oρθογραφίας. (Spelling tips) The final /ο/
29 Στοιχεία oρθογραφίας (Spelling tips) The dficulties in spelling of words which sound the same can be greatly reduced one follows some simple basic rules. Spelling can be made easier through grammar.
Διαβάστε περισσότεραMath221: 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 περισσότεραΟι 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 περισσότεραNon-Indicative Verbs of the LXX, New Testament, Josephus and Philo (in alphabetical order)
Non-Indicative Verbs of the LXX, New Testament, Josephus and Philo (in alphabetical order) v = verb s = subjunctive n = infinitive d = imperative p = present f = future a = aorist x = perfect a = active
Διαβάστε περισσότεραSummer 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 περισσότεραParticiple Morphs. λύων λύουσα λῦον λύοντος λυούσης λύοντος λυόμενος λυομένη λυόμενον λυομένου λυομένης λυομένου. ουσ. ομεν
Participle Morphs Column Headings: TF = Tense Formative Morph (aspect or passive morph); N = Neutral Morph (always omicron before nasal ν or μ); PSFF = Participle Specifier Final Form (as it will look
Διαβάστε περισσότεραGalatia 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 περισσότεραΡηματική 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 περισσότερα3.4 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 περισσότεραPassive 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 περισσότεραFourier Series. MATH 211, Calculus II. J. Robert Buchanan. Spring Department of Mathematics
Fourier Series MATH 211, Calculus II J. Robert Buchanan Department of Mathematics Spring 2018 Introduction Not all functions can be represented by Taylor series. f (k) (c) A Taylor series f (x) = (x c)
Διαβάστε περισσότερα6.1. Dirac Equation. Hamiltonian. Dirac Eq.
6.1. Dirac Equation Ref: M.Kaku, Quantum Field Theory, Oxford Univ Press (1993) η μν = η μν = diag(1, -1, -1, -1) p 0 = p 0 p = p i = -p i p μ p μ = p 0 p 0 + p i p i = E c 2 - p 2 = (m c) 2 H = c p 2
Διαβάστε περισσότεραEcon 2110: Fall 2008 Suggested Solutions to Problem Set 8 questions or comments to Dan Fetter 1
Eon : Fall 8 Suggested Solutions to Problem Set 8 Email questions or omments to Dan Fetter Problem. Let X be a salar with density f(x, θ) (θx + θ) [ x ] with θ. (a) Find the most powerful level α test
Διαβάστε περισσότεραCroy Lessons Participles
A Croy Lessons 1820 Aorist Passive Perfect Ω How is studying functioning? I was studying Greek. >> PERIPHRASTIC (SUPPL.) Studying Greek, I sometimes want to scream. >> (ADV.) VERBAL ADJECTIVES The seminarian
Διαβάστε περισσότεραAdvanced 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 περισσότεραTMA4115 Matematikk 3
TMA4115 Matematikk 3 Andrew Stacey Norges Teknisk-Naturvitenskapelige Universitet Trondheim Spring 2010 Lecture 12: Mathematics Marvellous Matrices Andrew Stacey Norges Teknisk-Naturvitenskapelige Universitet
Διαβάστε περισσότεραΣυμπληρωματικές προτάσεις
24 Συμπληρωματικές προτάσεις (Complement clauses) Complement clauses are nominal and function as complements of verbs, adjectives, nouns and adverbs. Complement clauses are: Clauses that function as objects
Διαβάστε περισσότεραStrain 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 περισσότεραAssalamu `alaikum wr. wb.
LUMP SUM Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. LUMP SUM Lump sum lump sum lump sum. lump sum fixed price lump sum lump
Διαβάστε περισσότεραOn a four-dimensional hyperbolic manifold with finite volume
BULETINUL ACADEMIEI DE ŞTIINŢE A REPUBLICII MOLDOVA. MATEMATICA Numbers 2(72) 3(73), 2013, Pages 80 89 ISSN 1024 7696 On a four-dimensional hyperbolic manifold with finite volume I.S.Gutsul Abstract. In
Διαβάστε περισσότεραJohn 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 περισσότεραOverview. Transition Semantics. Configurations and the transition relation. Executions and computation
Overview Transition Semantics Configurations and the transition relation Executions and computation Inference rules for small-step structural operational semantics for the simple imperative language Transition
Διαβάστε περισσότεραApproximation 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 περισσότεραΗ αλληλεπίδραση ανάμεσα στην καθημερινή γλώσσα και την επιστημονική ορολογία: παράδειγμα από το πεδίο της Κοσμολογίας
Η αλληλεπίδραση ανάμεσα στην καθημερινή γλώσσα και την επιστημονική ορολογία: παράδειγμα από το πεδίο της Κοσμολογίας ΠΕΡΙΛΗΨΗ Αριστείδης Κοσιονίδης Η κατανόηση των εννοιών ενός επιστημονικού πεδίου απαιτεί
Διαβάστε περισσότεραThe Genitive Case. Letting One Nominal Modify Another. A lesson for the Paideia web-app Ian W. Scott, 2015
The Genitive Case Letting One Nominal Modify Another A lesson for the Paideia web-app Ian W. Scott, 2015 The Genitive Case The "genitive case" is another role a nominal can play in a clause We have actually
Διαβάστε περισσότεραEE512: 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 περισσότεραVERBS: 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 περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ
Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 7: More about gerunds Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons
Διαβάστε περισσότεραGREEK 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 περισσότεραSTARTING STEPS IN GRAMMAR, FINAL TEST C TERM 2012 UNITS 1-18
STARTING STEPS IN GRAMMAR, FINAL TEST C TERM 2012 UNITS 1-18 Name.. Class. Date. EXERCISE 1 Answer the question. Use: Yes, it is or No, it isn t. Απάντηςε ςτισ ερωτήςεισ. Βάλε: Yes, it is ή No, it isn
Διαβάστε περισσότεραLiving and Nonliving Created by: Maria Okraska
Living and Nonliving Created by: Maria Okraska http://enchantingclassroom.blogspot.com Living Living things grow, change, and reproduce. They need air, water, food, and a place to live in order to survive.
Διαβάστε περισσότεραFinal 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 περισσότεραΚΥΠΡΙΑΚΗ 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 περισσότεραRight 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 περισσότερα22.1: 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 περισσότεραSummer 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 περισσότερα4.6 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 περισσότεραΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006
Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Ολοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα είναι μικρότεροι το 1000 εκτός αν ορίζεται διαφορετικά στη διατύπωση του προβλήματος. Διάρκεια: 3,5 ώρες Καλή
Διαβάστε περισσότεραPotential Dividers. 46 minutes. 46 marks. Page 1 of 11
Potential Dividers 46 minutes 46 marks Page 1 of 11 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and
Διαβάστε περισσότεραΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ
Ανοικτά Ακαδημαϊκά Μαθήματα στο ΤΕΙ Ιονίων Νήσων ΕΠΙΧΕΙΡΗΣΙΑΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΚΑΙ ΕΠΙΚΟΙΝΩΝΙΑ ΣΤΗΝ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ Ενότητα 9: Inversion Το περιεχόμενο του μαθήματος διατίθεται με άδεια Creative Commons εκτός
Διαβάστε περισσότεραReview 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 περισσότεραΟνοματική Φράση (Noun Phrase)
3 Ονοματική Φράση (Noun Phrase) Άρθρα (Articles) The articles are definite (ο, η, το) and indefinite (ένας, μία, ένα). They agree in gender, number and case with the noun they modify. Είναι ο φίλος μου
Διαβάστε περισσότερα