The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
Dentro del libro
Resultados 1-5 de 19
Página 6
... fall upon the two other straight lines CD and EF , cutting CD at G and EF at H , which are the interior angles on the same side as D and F of the line AB ? ( 12 ) Define a plane figure , and the centre of a circle . State the meanings ...
... fall upon the two other straight lines CD and EF , cutting CD at G and EF at H , which are the interior angles on the same side as D and F of the line AB ? ( 12 ) Define a plane figure , and the centre of a circle . State the meanings ...
Página 10
... fall . It is certainly astonishing what fallacious arguments beginners will accept as proofs ; and the learner cannot be too strongly cautioned against being misled by false arguments . In considering the different steps in the ...
... fall . It is certainly astonishing what fallacious arguments beginners will accept as proofs ; and the learner cannot be too strongly cautioned against being misled by false arguments . In considering the different steps in the ...
Página 15
... falls upon the two other straight lines FC and GC , which meet , when produced , at C , therefore the two interior angles upon the same side of the line , viz . CAB and CBA , are together less than two right angles . ( 26 ) An ...
... falls upon the two other straight lines FC and GC , which meet , when produced , at C , therefore the two interior angles upon the same side of the line , viz . CAB and CBA , are together less than two right angles . ( 26 ) An ...
Página 27
... fall thus or otherwise , without coinciding . DA First , it is because AB is equal to DE , that B and E coincide ; but if the angle BAC were not equal to the angle DEF , the triangles might fall thus , or otherwise ; Secondly , even ...
... fall thus or otherwise , without coinciding . DA First , it is because AB is equal to DE , that B and E coincide ; but if the angle BAC were not equal to the angle DEF , the triangles might fall thus , or otherwise ; Secondly , even ...
Página 28
... fall thus or otherwise ; DA Thirdly it is because DF is equal to AC , that C and F coincide , but still the triangles might fall thus or otherwise ; AD and , lastly , since two straight lines cannot enclose a space , they coincide thus ...
... fall thus or otherwise ; DA Thirdly it is because DF is equal to AC , that C and F coincide , but still the triangles might fall thus or otherwise ; AD and , lastly , since two straight lines cannot enclose a space , they coincide thus ...
Términos y frases comunes
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
Pasajes populares
Página 95 - If two triangles have two sides of the one equal to two sides of the...
Página 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.
Página 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.
Página 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.
Página 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...
Página 72 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 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.
Página 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.
Página 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.