The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Side 9
... converse of another when the hypothesis of each is the conclusion of the other , and one proposition is said to be ... converse is : " If C is equal to D , then A is equal to B , " and the contrary is : " If A is equal to B , then C is ...
... converse of another when the hypothesis of each is the conclusion of the other , and one proposition is said to be ... converse is : " If C is equal to D , then A is equal to B , " and the contrary is : " If A is equal to B , then C is ...
Side 10
Euclides Joseph John Dallin Paul. If of a proposition , its converse , its contrapositive and its obverse , any two which are not contrapositive of one another , be true , all four are true . One of Euclid's books is supposed by some to ...
Euclides Joseph John Dallin Paul. If of a proposition , its converse , its contrapositive and its obverse , any two which are not contrapositive of one another , be true , all four are true . One of Euclid's books is supposed by some to ...
Side 13
... converse of any assumed fact . ( 20 ) Magnitudes which are equal to equal magnitudes each to each , are equal to one another . Let A , B , C and D be four magnitudes such that A is equal to B , then , if C be equal to A , and D be equal ...
... converse of any assumed fact . ( 20 ) Magnitudes which are equal to equal magnitudes each to each , are equal to one another . Let A , B , C and D be four magnitudes such that A is equal to B , then , if C be equal to A , and D be equal ...
Side 16
... converse of the 12th Axiom is assumed . The axiom allows us to assume that , if the angles CAB and CBA are to- gether less than two right angles , FA and GB would meet if produced , but not that , if FA and GB meet , the angles are ...
... converse of the 12th Axiom is assumed . The axiom allows us to assume that , if the angles CAB and CBA are to- gether less than two right angles , FA and GB would meet if produced , but not that , if FA and GB meet , the angles are ...
Side 19
... converse , obverse , and contrary of the following proposition : " If the three sides of one triangle be respectively equal to the three sides of another triangle , each to each , then the superficial areas of the triangles are equal ...
... converse , obverse , and contrary of the following proposition : " If the three sides of one triangle be respectively equal to the three sides of another triangle , each to each , then the superficial areas of the triangles are equal ...
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2nd Edition 4th Edition AB is equal ABC and DEF ABC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle CAB angle contained angle DEF angle EDF angle equal angle GHD angles are equal angles CBA Axiom 9 base BC BDC is greater bisector bisects centre circle coincide Constr Crown 8vo describe diagonal equal sides equal to BD equal to EF equilateral triangle Euclid exterior angle F. A. Paley Fcap finite straight line Geometry given point given straight line isosceles triangle Join Latin magnitude are equal opposite sides parallel to BC parallelogram parallelogram ABCD plane figure Post 8vo Postulate produced Q. E. D. PROPOSITION quadrilateral rectilineal angle REQUIRED TO PROVE rhombus right angles sides equal square on AC straight line drawn THEOREM triangle ABC triangle DEF triangles are equal vertex Нур
Populære avsnitt
Side 95 - If two triangles have two sides of the one equal to two sides of the...
Side 65 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to each other in a plane, which meet together, but are not in the same direction.
Side 13 - FBS 8vo. 10s. 6d. Language, its Origin and Development. By TH Key, MA, FRS 8vo. 14s. Synonyms and Antonyms of the English Language. By Archdeacon Smith. 2nd Edition. Post 8vo. 5s. Synonyms Discriminated. By Archdeacon Smith. Demy 8vo. 16s. Bible English. By TL 0. Davies. 5s. The Queen's English. A Manual of Idiom and Usage. By the late Dean Alford 6th Edition. Fcap. 8vo. 5s.
Side 10 - An Elementary Treatise on Mensuration. By BT Moore, MA 5s. ANALYTICAL GEOMETRY AND DIFFERENTIAL CALCULUS. An Introduction to Analytical Plane Geometry. By WP Turnbull, MA 8vo. 12s. Problems on the Principles of Plane Co-ordinate Geometry. By W. Walton, MA 8vo. 16s. Trilinear Co-ordinates, and Modern Analytical Geometry of Two Dimensions.
Side 73 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 72 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 12 - Lives of the Queens of England. By A. Strickland. Library Edition, 8 vols. 7s. 6d. each. Cheaper Edition, 6 vols. 5s. each. Abridged Edition, 1 vol. 6s. 6d.
Side 8 - Greek Verbs. A Catalogue of Verbs, Irregular and Defective; their leading formations, tenses, and inflexions, with Paradigms for conjugation, Rules for formation of tenses, &c.
Side 12 - Long. 5 vols. 8vo. 14s. each. A History of England during the Early and Middle Ages. By CH Pearson, MA 2nd Edition revised and enlarged.