-
1 прикладная геометрия
1) General subject: practical geometry2) Mathematics: applied geometryУниверсальный русско-английский словарь > прикладная геометрия
-
2 علم
عِلْم \ knowledge: what one knows: His knowledge of radio is very wide. His general knowledge is slight. learning: knowledge that is gained by long serious study: He is a man of great learning. scholarship: the qualities of a very learned person: This writer on Shakespeare is famous for his scholarship. science: the careful study of any serious subject: political science; the science of language. \ بِغَير عِلْمِه \ behind sb.’s back: when someone is not present: He tells untrue stories about me behind my back. \ عِلْم الآثار القَديمة \ archaeology, archeology: the scientific study of life in the distant past by digging up ancient cities, examining buried objects, etc. \ عِلْم الاجْتِماع \ sociology: the study of society and human behaviour in groups. \ عِلْم الإِحْصَاء \ statistics: (with pl. verb) facts that are shown by numbers; (with sg. verb) the science of showing facts by numbers: National statistics of births and deaths are collected regularly. Statistics is a modern science. \ عِلْم الأَحْياء \ biology: the science of living things. \ عِلْم الأخلاق \ ethics: the study of good and bad in human behaviour. \ عِلْم الأرصاد الجوّيّة \ meteorology: the science of the weather. \ عِلْم الأساطير \ mythology: myths in general; the study of myths. \ عِلْم الاشْتِقاق (في علم اللُّغَة) \ etymology: the study of the history of words. \ عِلْم الأصوات \ phonetics: (as subject of study; pl. as a practical activity) the science of speech sounds; the signs used for these sounds; the practical use of this science: Phonetics is a modern science. Are these phonetics correct? Phonetics help foreigners to pronounce words. \ عِلْم الاقتصاد \ economics: the science of national economy. \ عِلْم الإنْسَان \ anthropology: the scientific study of man, his way of life, religions, races, etc. \ عِلْم بالوُصُول \ acknowledg(e)ment: a note of receipt: I sent the money but I’ve had no acknowledgement. \ عِلْم التاريخ \ history: an orderly record or study of past events: a student of history; the history of Europe. \ عِلْم التَّحْليل النَّفْسي \ psychoanalysis: (the scientific study of) a way of treating disorders ot the mind by examination of all that sb. can remember of his past life, dreams, feelings, etc.. \ عِلْم التَّدْبِير المنزليّ \ domestic science: the study of cooking and other housekeeping skills. \ عِلْم التَّنْجيم \ astrology: the study of the stars in relation to human fate. \ عِلْم الجَبْر \ algebra: a branch of mathematics, using signs and letters as well as numbers. \ عِلْم الجُغْرافيا \ geography: the scientific study of the structure, produce and use of the earth’s surface. \ عِلْم الحَرْب \ warfare: the science of making war; fighting. \ عِلْم حَرَكة السوائل \ hydraulics: the science of controlling and using liquid pressure, esp. for engineering purposes. \ عِلْم الحَشَرات \ entomology: the study of insects. \ عِلْم الحَيَوان \ zoology: the scientific study of animal life. \ عِلْم الرِّياضيّات \ mathematics: the science of numbers and space; the practical use of this science: Mathematics is an exact science. maths: the usual shortening of mathematics. \ عِلْم الزراعة بدون تُربة \ hydroponics: the science of growing plants in water, without soil. \ عِلْم السِّيَاسَة \ politics: (sg. as an art or activity; pl. as personal beliefs, etc.) the art of government; the affairs of government; one’s opinions on government: Is politics an art or a science? My politics are my private concern. \ عِلْم الصحّة \ hygiene: the study and practice of how to keep good health, esp. by paying attention to cleaniness. \ عِلْم صيانة الأحراش \ forestry: the science of growing trees for man’s use as wood. \ عِلْم الطّبّ \ medicine: the science and the art of dealing with disease. \ عِلْم طَبَقات الأرض \ geology: the study of the rocks that make up the earth. \ عِلْم الطبيعة \ physics: the science of heat, light, sound, Motion, etc.: Physics is an important branch of science. \ See Also الفيزياء \ عِلْم طبيعيّ \ science: the study of the substances, forces, etc. found in nature (esp. Biology; Chemistry; Physics): Schools teach science. \ عِلْم الطُّيُور \ ornithology: the scientific study of birds. \ عِلْم الفَلَك \ astronomy: the scientific study of the stars. \ عِلْم الكِيمْياء \ chemistry: the science that studies the nature and behaviour of all substances. \ عِلْم المالية \ finance: the science of controlling money. \ See Also إدارة المال \ عِلْم المَنْطِق \ logic: the science of reasoning. \ عِلْم النَّبَات \ botany: the scientific study of plants. \ عِلْم النَّفْس \ psychology: the scientific study of the mind. \ عِلْم الهَنْدَسة \ geometry: the science of lines, angles, surfaces and solid figures, and of their measurements. -
3 Psychology
We come therefore now to that knowledge whereunto the ancient oracle directeth us, which is the knowledge of ourselves; which deserveth the more accurate handling, by how much it toucheth us more nearly. This knowledge, as it is the end and term of natural philosophy in the intention of man, so notwithstanding it is but a portion of natural philosophy in the continent of nature.... [W]e proceed to human philosophy or Humanity, which hath two parts: the one considereth man segregate, or distributively; the other congregate, or in society. So as Human philosophy is either Simple and Particular, or Conjugate and Civil. Humanity Particular consisteth of the same parts whereof man consisteth; that is, of knowledges which respect the Body, and of knowledges that respect the Mind... how the one discloseth the other and how the one worketh upon the other... [:] the one is honored with the inquiry of Aristotle, and the other of Hippocrates. (Bacon, 1878, pp. 236-237)The claims of Psychology to rank as a distinct science are... not smaller but greater than those of any other science. If its phenomena are contemplated objectively, merely as nervo-muscular adjustments by which the higher organisms from moment to moment adapt their actions to environing co-existences and sequences, its degree of specialty, even then, entitles it to a separate place. The moment the element of feeling, or consciousness, is used to interpret nervo-muscular adjustments as thus exhibited in the living beings around, objective Psychology acquires an additional, and quite exceptional, distinction. (Spencer, 1896, p. 141)Kant once declared that psychology was incapable of ever raising itself to the rank of an exact natural science. The reasons that he gives... have often been repeated in later times. In the first place, Kant says, psychology cannot become an exact science because mathematics is inapplicable to the phenomena of the internal sense; the pure internal perception, in which mental phenomena must be constructed,-time,-has but one dimension. In the second place, however, it cannot even become an experimental science, because in it the manifold of internal observation cannot be arbitrarily varied,-still less, another thinking subject be submitted to one's experiments, comformably to the end in view; moreover, the very fact of observation means alteration of the observed object. (Wundt, 1904, p. 6)It is [Gustav] Fechner's service to have found and followed the true way; to have shown us how a "mathematical psychology" may, within certain limits, be realized in practice.... He was the first to show how Herbart's idea of an "exact psychology" might be turned to practical account. (Wundt, 1904, pp. 6-7)"Mind," "intellect," "reason," "understanding," etc. are concepts... that existed before the advent of any scientific psychology. The fact that the naive consciousness always and everywhere points to internal experience as a special source of knowledge, may, therefore, be accepted for the moment as sufficient testimony to the rights of psychology as science.... "Mind," will accordingly be the subject, to which we attribute all the separate facts of internal observation as predicates. The subject itself is determined p. 17) wholly and exclusively by its predicates. (Wundt, 1904,The study of animal psychology may be approached from two different points of view. We may set out from the notion of a kind of comparative physiology of mind, a universal history of the development of mental life in the organic world. Or we may make human psychology the principal object of investigation. Then, the expressions of mental life in animals will be taken into account only so far as they throw light upon the evolution of consciousness in man.... Human psychology... may confine itself altogether to man, and generally has done so to far too great an extent. There are plenty of psychological text-books from which you would hardly gather that there was any other conscious life than the human. (Wundt, 1907, pp. 340-341)The Behaviorist began his own formulation of the problem of psychology by sweeping aside all medieval conceptions. He dropped from his scientific vocabulary all subjective terms such as sensation, perception, image, desire, purpose, and even thinking and emotion as they were subjectively defined. (Watson, 1930, pp. 5-6)According to the medieval classification of the sciences, psychology is merely a chapter of special physics, although the most important chapter; for man is a microcosm; he is the central figure of the universe. (deWulf, 1956, p. 125)At the beginning of this century the prevailing thesis in psychology was Associationism.... Behavior proceeded by the stream of associations: each association produced its successors, and acquired new attachments with the sensations arriving from the environment.In the first decade of the century a reaction developed to this doctrine through the work of the Wurzburg school. Rejecting the notion of a completely self-determining stream of associations, it introduced the task ( Aufgabe) as a necessary factor in describing the process of thinking. The task gave direction to thought. A noteworthy innovation of the Wurzburg school was the use of systematic introspection to shed light on the thinking process and the contents of consciousness. The result was a blend of mechanics and phenomenalism, which gave rise in turn to two divergent antitheses, Behaviorism and the Gestalt movement. The behavioristic reaction insisted that introspection was a highly unstable, subjective procedure.... Behaviorism reformulated the task of psychology as one of explaining the response of organisms as a function of the stimuli impinging upon them and measuring both objectively. However, Behaviorism accepted, and indeed reinforced, the mechanistic assumption that the connections between stimulus and response were formed and maintained as simple, determinate functions of the environment.The Gestalt reaction took an opposite turn. It rejected the mechanistic nature of the associationist doctrine but maintained the value of phenomenal observation. In many ways it continued the Wurzburg school's insistence that thinking was more than association-thinking has direction given to it by the task or by the set of the subject. Gestalt psychology elaborated this doctrine in genuinely new ways in terms of holistic principles of organization.Today psychology lives in a state of relatively stable tension between the poles of Behaviorism and Gestalt psychology.... (Newell & Simon, 1963, pp. 279-280)As I examine the fate of our oppositions, looking at those already in existence as guide to how they fare and shape the course of science, it seems to me that clarity is never achieved. Matters simply become muddier and muddier as we go down through time. Thus, far from providing the rungs of a ladder by which psychology gradually climbs to clarity, this form of conceptual structure leads rather to an ever increasing pile of issues, which we weary of or become diverted from, but never really settle. (Newell, 1973b, pp. 288-289)The subject matter of psychology is as old as reflection. Its broad practical aims are as dated as human societies. Human beings, in any period, have not been indifferent to the validity of their knowledge, unconcerned with the causes of their behavior or that of their prey and predators. Our distant ancestors, no less than we, wrestled with the problems of social organization, child rearing, competition, authority, individual differences, personal safety. Solving these problems required insights-no matter how untutored-into the psychological dimensions of life. Thus, if we are to follow the convention of treating psychology as a young discipline, we must have in mind something other than its subject matter. We must mean that it is young in the sense that physics was young at the time of Archimedes or in the sense that geometry was "founded" by Euclid and "fathered" by Thales. Sailing vessels were launched long before Archimedes discovered the laws of bouyancy [ sic], and pillars of identical circumference were constructed before anyone knew that C IID. We do not consider the ship builders and stone cutters of antiquity physicists and geometers. Nor were the ancient cave dwellers psychologists merely because they rewarded the good conduct of their children. The archives of folk wisdom contain a remarkable collection of achievements, but craft-no matter how perfected-is not science, nor is a litany of successful accidents a discipline. If psychology is young, it is young as a scientific discipline but it is far from clear that psychology has attained this status. (Robinson, 1986, p. 12)Historical dictionary of quotations in cognitive science > Psychology
-
4 πρόβλημα
A anything thrown forward or projecting, πόντου π. ἁλίκλυστον sea-washed promontory, S.Aj. 1219 (lyr.).2 hindrance, obstacle, Hp.Nat.Mul.67, Mul.1.20, Ael. NA2.13.II anything put before one as a defence, bulwark, barrier, , cf.4.175;τῶν.. π. τὰ μὲν πρὸς τὸν πόλεμον ὁπλίσματα, τὰ δὲ φράγματα Pl.Plt. 279d
sq., cf. Sph. 261a; σώματος π., of a shield, A.Th. 540; νεῶν προβλήματα, of a wall, E.Rh. 213; χαλκᾶ προβλήματα the brazen armour of horses, X.Cyr.6.1.51.2 c.gen. objecti, defence against a thing,αἰχμῆς καὶ πέτρων A.Th. 676
;χείματος προβλήματα E.Supp. 208
;π. χειμώνων Pl.Ti. 74b
;π. κακῶν Ar.V. 615
;κρύους π. ποιοῦνται τὴν ἐσθῆτα Plu.2.691d
; but,3 μηδὲν φόβου π. μηδ' αἰδοῦς ἔχειν to have neither fear nor reverence as a defence, S.Aj. 1076; τὸν ποταμὸν π. λαβεῖν, ποιήσασθαι, Plb.2.66.1, 3.14.5.III anything put forward as an excuse,π. τοῦ τρόπου D.45.69
; λαβὼν π. σαυτοῦ παῖδα making a screen of him, S.Ph. 1008.2 problem in Geometry, etc., Pl.R. 530b, Tht. 180csq., Plu. Marc.14, 19, etc.;φυσικὰ π. Epicur.Ep.2p.36U.
; οἱ κατὰ πρόβλημα λόγοι (opp. τὰ ἐν τῷ βίῳ) theoretical, Phld.Lib.p.59 O.3 in the Logic of Arist., question as to whether a statement is so or not, Arist. Top. 101b28, cf. 104b1: τὰ π. title of work by Arist., cf. Mete. 363a24, PA 676a18, GA 747b5, cf. προβληματικός; also of the extant work wrongly ascribed to Arist.4 practical or theoretical problem,εἰς π. παμμέγεθες ἐνέπεσε Plb.28.13.9
;εὕροντο λύσιν τοῦ π. Id.30.19.5
;ἐν προβλήμασιν ἢ κρίνομεν ἢ βουλευόμεθα Hermog.Inv.1.1
.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > πρόβλημα
-
5 ὑπόθεσις
A proposal, proposed action,τὴν ἐν φίλοις δικαιοτάτην ὑ. ἔχω ὑποτιθέναι X.Cyr.5.5.13
;ἵνα σὺ τὰ σαυτοῦ κατὰ τὴν ὑ. ὅπως ἂν βούλῃ περαίνῃς Pl.Grg. 454c
; intention, policy,πολλὰ πρᾶξαι πρὸς τὴν ὑ. τῆς πατρίδος ὡς συχνῆς ἀδικίας δεομένην Thphr.Fr. 136
;διὰ τὴν ὑ. τῆς πολιτείας.. ἠναγκάζετο χρῆσθαι τοῖς ὑπουργοῦσι Plu.Caes.51
; πρὸς ὑ. τινα ἀγαθῶν ἀνδρῶν men good for a particular policy, Arist.Pol. 1293b4; ὑ. τῆς δημοκρατικῆς πολιτείας ἐλευθερία ib. 1317a40; ἡμῖν ἡ τῶν νόμων ὑ. ἐνταῦθα ἔβλεπεν, ὅπως .. Pl.Lg. 743c;περὶ τῶν αὐτῶν οὐχ ὁμοίως ἅπασι βουλευτέον, ἀλλ' ὡς ἂν ἐξ ἀρχῆς ἕκαστοι τοῦ βίου ποιήσωνται τὴν ὑ. Isoc.6.90
;τοῖς φαύλοις ἐνδέχεται τὰ τυχόντα πράττειν· εὐθὺς γὰρ τοῦ βίου τοιαύτην πεποίηνται τὴν ὑ. Id.1.48
;ἀνάγκη τοῖς περὶ ὅλων τῶν πραγμάτων καλὰς τὰς ὑ. πεποιημένοις καὶ τὰ μέρη τὸν αὐτὸν τρόπον ἔχειν ἐκείνοις Id.7.28
;πρὸς ταύτην τὴν ὑ. ἀποβλέποντες ἄμεινον βουλευσόμεθα καὶ περὶ τῶν ἄλλων Id.8.18
;ἐξέστητε τῆς ὑ. ἐφ' ἧς ὑμᾶς οἱ πρόγονοι κατέλιπον D.10.46
; οἱ τῆς αὐτῆς ὑ. προεστῶτες those who advocated the same policy, Plb.30.32.12;ἅπαντας ἀπονεύσειν ἐπ' ἐκείνην τὴν ὑ. Id.24.9.7
; Ἀχαϊκωτέραν εἶναι.. ταύτην τὴν ὑ. καὶ νικητικωτέραν ἐν τοῖς πολλοῖς ib.4;τὸ τῆς ἰδίας ὑ. λαμπρόν Id.21.23.1
;τὸ τῶν σαρισῶν μέγεθός ἐστι κατὰ μὲν τὴν ἐξ ἀρχῆς ὑ. ἑκκαίδεκα πηχῶν, κατὰ δὲ τὴν ἁρμογὴν τὴν πρὸς τὴν ἀλήθειαν δεκατεττάρων Id.18.29.2
;τηροῦντες τὴν αὑτῶν ὑ. Id.5.5.5
;πρὸς ταύτην ἁρμοζόμενοι τὴν ὑ. Id.3.16.1
, cf. 3.50.7; κατασκέψασθαι τὴν τῶν ὑπεναντίων ἐπίνοιαν καὶ τὴν ὅλην ὑ. ib.6;Φάβιος.. κατὰ τὴν ἐξ ἀρχῆς ὑ. οὐδαμῶς κρίνων ἐκκυβεύειν οὐδὲ παραβάλλεσθαι τοῖς ὅλοις Id.3.94.4
.2 suggestion, advice,ἐδώκαμεν ἄν σοι ὑποθέσεις δι' ὧν οἱ ἀντίδικοι ἂν οἴμωζον PMich.Zen.57.7
(iii B. C.);διελέγοντο.. κατὰ τὰς ἐντολὰς τὰς Ἀράτου καὶ τὰς ὑ. Plb. 2.48.8
, cf. 2.52.6, 4.24.2;κροτηθείσης τῆς ὑ. Id.28.16.5
; πολυτέχνους ὑ. ἔργων elaborate proposals for works, Plu.Per.12.3 purpose, ;λόγῳ μὲν ἀποδώσων.., ἑτέραν δὲ τῆς ἀποδημίας ἔχων ὑ. λανθάνουσαν τοὺς πολλούς Id.Mar.31
;ἐξ αὐτῆς τῆς αἰτίας τῆς τε ὑ. τοῦ πολέμου ἀξιολογώτατος ἀγὼν συνηνέχθη D.C.41.56
;ὑ. τοῦ πολέμου καὶ πρόφασιν διδόντων ἐλευθεροῦν τοὺς Ἕλληνας Plu.Flam.15
;τὸ χωρὶς ὑποθέσεως πολεμεῖν.. τί ἄλλο ἢ μανία; D.Chr.38.17
; [οἱ ἐλέφαντες] ἴσασι τῆς ὁδοῦ τῆς ἐπ' αὐτοὺς τὴν ὑ... εἶναι.. τοὺς ὀδόντας Ael.NA6.56
.4 occasion, excuse, pretext,οὕτω γὰρ ἂν αὐτοῖς ἡ ἀπολογία προαναιροῖτο καὶ ἡ πρώτη ὑ. τῆς ἐθελοδουλείας Luc.Merc.Cond.5
; τοιαύτης αὐτοῖς τῆς ὑ. οὔσης ib.10;ἀεὶ χρὴ ἐπί τινι λυπεῖσθαι καὶ μὴ ἄνευ ὑ. Artem.
2.60;ὑ. ἀργυρισμοῦ καὶ φόνων εἰληφέναι ἐδόκει D.C.63.26
;μή με νομίσῃς ἀπὸ τῆς παρούσης ὑ. ἀπαρτᾶν τὸν λόγον Id.52.18
.5 actor's role,τοὺς ὑποκριτὰς.. οὓς ὁρῶμεν οὔτε κλαίοντας ἐν τοῖς θεάτροις, ὡς αὐτοὶ θέλουσιν, ἀλλ' ὡς ὁ ἀγὼν ἀπαιτεῖ πρὸς τὴν ὑ. Plu.Dem.22
;ὶδεῖν τί μου ποιεῖ ὁ ἀθλητής, πῶς μελετᾷ τὴν ὑ. Arr.Epict.1.29.38
, cf. 41;τὴν τοῦ πατρὸς καὶ τῆς μητρὸς ὑ. λαβεῖν Iamb.VP8.39
.6 function, occupation, station in life, [Διονύσιος] ἐκ σημοτικῆς καὶ ταπεινῆς ὑ. ὁρμηθείς Plb.15.35.2
; [Ἀγαθοκλῆς] ὁρμηθεὶς ἀπὸ τοιαύτης ὑ. Id.12.15.7
;τὸ μὴ εἶναι ἄλλην βίου ὑ. εἰς τὸ φιλοσοφεῖν οὕτως ἐπιτήδειον ὡς ταύτην ἐν ᾗ νῦν ὢν τυγχάνεις M.Ant.11.7
, cf. 8.1, Paul. Aeg.3.17.7 practical problem,κοινὴ ἡ ὑ. καὶ τῷ καθ' ἡμᾶς βίῳ πάνυ πολλή, βαλανείου κατασκευή Luc.Hipp.4
;ἡ μὲν οὖν ὑ. τοιαύτη HeroAut.21.2
.II subject proposed ( to oneself or another) for discussion,κελεῦσαι τὴν πρώτην ὑ. τοῦ πρώτου λόγου ἀναγνῶναι Pl. Prm. 127d
;ἐπὶ τὴν ὑ. ἐπανάγειν τὸν λόγον X.Mem.4.6.13
;ἐπὶ τὴν ὑ. πάλιν ἐπανελθεῖν Isoc.4.63
, cf. Gal.6.124;τὴν ὑ. περὶ ἧς βουλεύεσθε οὐχὶ τὴν οὖσαν παριστάντες D.3.1
;τοὺς δικαστὰς ἀπαγαγὼν ἀπὸ τῆς ὑ. Id.19.242
;ἐπὶ τῆς ὑ. μεῖναι Aeschin.3.76
;ἔξω τῆς ὑ. λέγειν Isoc.7.63
, cf. 12.161;μὴ πόρρω λίαν τῆς ὑ. ἀποπλανηθῶ Id.7.77
, cf. 12.88, Aeschin. 3.176,190;ὅτ' ἔγραφον περὶ τὴν αὐτὴν ὑ. Isoc.5.83
;περὶ [τῆς πόλεως] τὴν ὑ. ποιησάμενος Id.12.35
;τοῦ πράγματος ἐν κεφαλαίῳ.. δήλωσις, ἵνα γινώσκωσι περὶ ὧν ὁ λόγος παρακολουθῶσί τε τῇ ὑ. Arist.Rh.Al. 1436a36
, cf. Pl.Def. 415b;ἡ ὑ. ἐλάττων Arist.Rh. 1404b15
; πρὸς ὑπόθεσιν λέγειν, opp. πρὸς ἀμφισβητοῦντα, ib. 1391b13;πολλὰ πρὸς τὴν ὑ. οἰκείως διαλεχθείς D.S.13.53
; haec erat ὑ., de gravitate ordinis, etc., Cic.Att.1.14.4.2 case at law, lawsuit,γράφει ὁ Μαιίστας εἰς τὴν ὑ. ταύτην IG11(4).1299.29
(Delos, iii B. C.), cf. OGI665.18,669.41 (both Egypt, i A. D.), POxy. 237 vii 34, viii 22 (ii A. D.), 486.26 (ii A. D.);τὰ περὶ ταύτης τῆς ὑ. πεπραγμένα PLips.34.18
(iv A. D.).3 subject of a poem or treatise, Zeno Stoic.1.23, Plb.1.2.1, D.H.Pomp.3, Longin. 38.2, Plu.Pomp.42, Luc.Charid.14, Pseudol.5, al.; of a picture, Id.Zeux.5,7; of an impromptu declamation,ἐπειδὰν οἱ παρόντες ὑποβάλωσί τινας ὑ. καὶ ἀφορμὰς λόγου Id.Rh.Pr.18
; plot, story,μῦθοι καὶ ὑποθέσεις Phld.Po.2.62
, cf. 5.5, al., Arg.Men.Oxy.1235.113 (ii A. D.), Dicaearch. ap. S.E.M.3.3, Artem.4.59, Sch.S.Aj.Prooem., Arg.Ar. Ach. tit., etc.4 speech,αἱ δικανικαὶ καὶ δημηγορικαὶ ὑ. Theon Prog.1
; = ἐπίδειξις 1.3, ἀρξαμένων (v.l. -ῳ)τῆς ὑ. LXX 4 Ma.1.12
; ἀνδρὸς ἀρετὰς ὅλην πληρούσας ὑ. providing matter for a whole speech, Chor.p.34B.b speech or subject of a speech in which the person, occasion, etc. are particularized, opp. θέσις v. 2, Aphth.Prog. 13, cf. Quint.Inst.3.5.7.5 a kind of play or pantomime,μῖμοί τινές εἰσιν ὧν τοὺς μὲν ὑποθέσεις τοὺς δὲ παίγνια καλοῦσιν Plu.2.712e
; μιμολωγοι η υποθησις εικυρα (i. e. μιμολόγοι· ἡ ὑπόθεσις Ἑκυρά), i. e. 'theatrical performance: play, the Hecyra', Ath.Mitt.26.4 (inscr. on lamp, iii B. C.); κλάειν ἤρξαντο πάντες καὶ μετέβαλε τὸ συμπόσιον εἰς σκυθρωπὴν ὑ. into a tragedy, Charito 4.3; so perh. in Luc.Nigr.8; of Aesop's fables,χρῆται [τῇ ἀλώπεκι] ὁ Αἴσωπος διακόνῳ τῶν πλείστων ὑ. Philostr.Im.1.3
.III supposition,ἢ βούλεσθε.. ἀπ' ἐμαυτοῦ ἄρξωμαι καὶ τῆς ἐμαυτοῦ ὑ., περὶ τοῦ ἑνὸς αὐτοῦ ὑποθέμενος, εἴτε ἕν ἐστιν εἴτε μὴ ἕν, τί χρὴ συμβαίνειν; Pl.Prm. 137b
; αὕτη ἡ ὑ., εἰ ἓν μὴ ἔστιν ib. 160b; χρὴ.. μὴ μόνον εἰ ἔστιν ἕκαστον ὑποτιθέμενον σκοπεῖν τὰ συμβαίνοντα ἐκ τῆς ὑ., ἀλλὰ καὶ εἰ μὴ ἔστι τὸ αὐτὸ τοῦτο ὑποτίθεσθαι ib. 135e, cf. 136a; [σκοπεῖν] τί ἐφ' ἑκατέρας τῆς ὑ. συμβήσεται ib. 136b;εἰ ὀρθὴ ἡ ὑ. ἦν, τὸ ψυχὴν ἁρμονίαν εἶναι Id.Phd. 94b
, cf. 92d, Sph. 244c;πρὸς μὲν τὴν ὑ. ὀρθῶς λέγουσιν, ὅλως δ' οὐκ ὀρθῶς Arist. Metaph. 1082b32
; ἐξ ὑποθέσεως σκοπεῖσθαι examine by starting from an assumption, of reasoning by analysis in geometry, Pl.Men. 86e; τῶν τὴν τέχνην ζητεύντων ἐξ ὑποθέσιος λόγων arguments seeking to derive the (medical) art from an assumption, Hp.VM13; ὑ. αὐτοὶ αὑτοῖς ὑποθέμενοι τῷ λόγῳ ib.1; ἄγοντες ἐπὶ ὑπόθεσιν τὴν τέχνην ib. 15;χρῆσιν ἀρετῆς τελείαν, καὶ ταύτην οὐκ ἐξ ὑ. ἀλλ' ἁπλῶς· λέγω δ' ἐξ ὑ. τἀναγκαῖα, οἷον.. τιμωρίαι καὶ κολάσεις.. τὸ καλῶς ἀναγκαίως ἔχουσι Arist.Pol. 1332810
; ἡ πολιτεία ἡ ἐξ ὑ. ( = ἡ δοθεῖσα ) the constitution based on a presupposition, ib. 1288b28; of currency, ἓν δή τι δεῖ εἶναι, τοῦτο δ' ἐξ ὑ.· διὸ νόμισμα καλεῖται according to a presupposed convention, Id.EN 1133b21 (cf. a29-31, APr. 41a40); of reductio ad impossibile,ἢ δεικτικῶς ἢ ἐξ ὑ. τοῦ δ' ἐξ ὑ. μέρος τὸ διὰ τοῦ ἀδυνάτου Id.APr. 40b25
-6, cf. 41a25;δυνατοῦ δεξάμενον ὑπόθεσιν ἐπ' ἀδύνατον ἀπαχθῆναι Arr.Epict.1.7.25
, cf. Procl. in Euc.pp.76,252 F.; καθ' ὑπόθεσιν by way of supposition, 'let us suppose', Phld.Rh. 1.95 S., Sign.12, Cleom.1.7.IV = τὸ ὑποκείμενον (cf.ὑπόκειμαι 11.8
), the presupposition of an action, that which has been settled before it begins,περὶ τοῦ τέλους οὐθεὶς βουλεύεται, ἀλλὰ τοῦτ' ἐστὶν ἀρχὴ καὶ ὑ. Arist.EE 1227a8
, cf. b30;τῶν πράξεων τὰς ἀρχὰς καὶ τὰς ὑ. ἀληθεῖς καὶ δικαίας εἶναι προσήκει D.2.10
; of a thing, that without which it cannot exist or be what it is, its essence, αὕτη (sc. τὸ στέλεχος)οἷον ὑ. καὶ φύσις δένδρων Thphr.HP4.13.4
(cf. οὐσία καὶ φύσις τοῦ δένδρου ibid.);ἐπὶ τοῖς χυμοῖς μόνοις σηπομένοις ἔχοντος τὴν ὑ. ὅλου τοῦ νοσήματος, ὅπερ ἐστὶ πυρετώδους ὄντος Gal.18(2).299
.2 in the syllogism, the preliminary statements of fact (whether proved or not) from which inference starts, i. e. the premisses ([etym.] προτάσεις) , τῶν ἀποδείξεων αἱ ὑ., equivalent to ἀρχαί, Arist.Metaph. 1013a16;αἱ ἀρχαὶ καὶ αἱ λεγόμεναι ὑ. Id.APo. 81b15
; ὅσα δέδεικται δι' ἐκείνων ὑποθέσεις ποιησάμενοι taking as premisses (here) what has been proved in those other works, Gal.6.7, cf. 25,224; ἴστω.. τῆς ὑγιεινῆς πραγματείας ἀνατρέπων τὴν ὑ. ib.17;ὑπόθεσιν, αἴτησιν οὖσαν πράγματος εἰς κατασκευήν τινος S.E.M.3.4
;λαμβάνειν ἀναποδείκτους ὑ. Plu.2.720f
, cf. 721d;ἀναγκαῖον ἢ τὰς ὑ. εἶναι τὰς πρώτας ψευδεῖς, ἢ τὰς ὑπὲρ τῶν συμβαινόντων ἀποφάς εις Plb.1.15.9
, cf. 11.b assumption of existence of any one of the fundamental objects of a particular science,ὁ ὁρισμὸς θέσις μέν ἐστι.. ὑ. δ' οὐκ ἔστι· τὸ γὰρ τί ἐστι μονὰς καὶ τὸ εἶναι μονάδα οὐ ταὐτόν Arist.APo. 72a23
;ἐν ταῖς πράξεσι τὸ οὗ ἕνεκα ἀρχή, ὥσπερ ἐν τοῖς μαθηματικοῖς αἱ ὑ. Id.EN 1151a17
.3 starting-point,ἐκ ταύτης τῆς ὑ. λαβεῖν τὸν λόγον τὴν εἰς ἑκάτερον μέρος ὁρμήν Iamb.VP27.130
; beginning, τὰς μὲν ἐλπίδας οὐ τελειοῖ (sc. ὁ ὄνειρος) , τὰς δὲ ὑ. τῶν πραγμάτων ταῖς περιοχαῖς ὁμοίας ποιεῖ (referring to a birth of twins which died), Artem.4.47.4 raw material,τὴν δοθεῖσαν ὑ. εὐφυᾶ πρὸς ὑποδοχὴν γυμναστικῆς.. ἀμείνω ἀποφαίνειν Luc.Hist. Conscr.35
;οἵαν ὕλην καὶ ὑ. φεύγεις·.. μένε οὖν μέχρι ἐξοικειώσῃς σαυτῷ καὶ ταῦτα M.Ant.10.31
.V mortgage, Thphr.Fr.97.1 (pl.).2 thing placed under, base, τὰς ὑ. (signf. 111)ποιούμενος οὐκ ἀρχὰς ἀλλὰ τῷ ὄντι ὑ., οἷον ἐπιβάσεις τε καὶ ὁρμάς Pl.R. 511b
, cf. Arr.Epict.1.7.22; in D.2.10 (v. supr. IV. 1) the ἀρχαί and ὑποθέσεις (i. e. basic principles) of actions are compared to the foundations ([etym.] τὰ κάτωθεν) of a house or a ship;Τριπτόλεμος.. τὰς πρώτας ὑ. βαλόμενος τῇ πόλει Lib.Or.11.52
.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ὑπόθεσις
См. также в других словарях:
Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… … Wikipedia
geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… … Universalium
History of geometry — Geometry (Greek γεωμετρία ; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre modern mathematics, the other being the study of numbers. Classic geometry… … Wikipedia
Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… … History of philosophy
Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… … Wikipedia
Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… … Wikipedia
Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
List of books in computational geometry — This is a list of books in computational geometry. There are two major, largely nonoverlapping categories: *Combinatorial computational geometry, which deals with collections of discrete objects or defined in discrete terms: points, lines,… … Wikipedia
Spherical geometry — is the geometry of the two dimensional surface of a sphere. It is an example of a non Euclidean geometry. Two practical applications of the principles of spherical geometry are navigation and astronomy.In plane geometry the basic concepts are… … Wikipedia
Constructive solid geometry — Venn diagram created with CSG The source is on the description page. Constructive solid geometry (CSG) is a technique used in solid modeling. Constructive solid geometry allows a modeler to create a complex surface or object … Wikipedia
Solid geometry — In mathematics, solid geometry was the traditional name for the geometry of three dimensional Euclidean space mdash; for practical purposes the kind of space we live in. It was developed following the development of plane geometry. Stereometry… … Wikipedia
