The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Side
... Greek text have been given . ( 2 ) Considerable alteration of the text . The propositions are all treated in a uniform systematic way , the component parts of each , viz . the enunciation , construction , demonstration and conclusion ...
... Greek text have been given . ( 2 ) Considerable alteration of the text . The propositions are all treated in a uniform systematic way , the component parts of each , viz . the enunciation , construction , demonstration and conclusion ...
Side 29
... Greek text , runs thus : —Things which can be fitted upon , or which coincide with each other , are equal . The student must clearly understand that an angle which is the inclination of two straight lines several miles in length , may ...
... Greek text , runs thus : —Things which can be fitted upon , or which coincide with each other , are equal . The student must clearly understand that an angle which is the inclination of two straight lines several miles in length , may ...
Side 32
... only the rigid accuracy of the demonstration which can convince us that the theorem is true . The enunciation of this proposition would , if translated exactly from the Greek text , run as follows : -Upon the 32 GEOMETRY .
... only the rigid accuracy of the demonstration which can convince us that the theorem is true . The enunciation of this proposition would , if translated exactly from the Greek text , run as follows : -Upon the 32 GEOMETRY .
Side 33
Euclides Joseph John Dallin Paul. the Greek text , run as follows : -Upon the same right line , and at two different points placed on the same side of it , there cannot be drawn two lines equal to two other lines , each to each , and ...
Euclides Joseph John Dallin Paul. the Greek text , run as follows : -Upon the same right line , and at two different points placed on the same side of it , there cannot be drawn two lines equal to two other lines , each to each , and ...
Side 38
... Greek text , the diagram on page 102 being referred to , is as follows : Let the two right lines BC and BD , not lying on the same side , make with the right line AB and at the same point B , adjacent angles ABC and ABD equal to two ...
... Greek text , the diagram on page 102 being referred to , is as follows : Let the two right lines BC and BD , not lying on the same side , make with the right line AB and at the same point B , adjacent angles ABC and ABD equal to two ...
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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
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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.
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