The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Σελίδα
... whole text and diagram of each can be seen without turning over the page ; and opposite each of the first 26 propositions , the various definitions , postulates , axioms and former propositions , necessary for the construction and ...
... whole text and diagram of each can be seen without turning over the page ; and opposite each of the first 26 propositions , the various definitions , postulates , axioms and former propositions , necessary for the construction and ...
Σελίδα 3
... whole of the same extent of space . Points can coincide in position , but , having no magnitude , they can fill no space . Lines can coincide in position and length only . Plane figures are assumed to coincide when their boundaries ...
... whole of the same extent of space . Points can coincide in position , but , having no magnitude , they can fill no space . Lines can coincide in position and length only . Plane figures are assumed to coincide when their boundaries ...
Σελίδα 11
... whole is equal to all its parts together . ( q ) If a magnitude is double of one of two equal magnitudes , it is also double of the other . ( r ) If two magnitudes are equal they are together double of one of them . ( 8 ) If one ...
... whole is equal to all its parts together . ( q ) If a magnitude is double of one of two equal magnitudes , it is also double of the other . ( r ) If two magnitudes are equal they are together double of one of them . ( 8 ) If one ...
Σελίδα 12
... whole is greater than the second whole . ( x ) Any one of two unlimited straight lines may be assumed to be greater than a given part of the other , or any other finite straight line . ( y ) The straight line which divides the angle of ...
... whole is greater than the second whole . ( x ) Any one of two unlimited straight lines may be assumed to be greater than a given part of the other , or any other finite straight line . ( y ) The straight line which divides the angle of ...
Σελίδα 36
... whole length thus pro- duced may be three times as long as the part produced . ( 90 ) Divide a right angle into four equal parts . ( 91 ) The diagonals of a square are equal . ( 92 ) A diagonal of a square bisects the square . ( 93 ) If ...
... whole length thus pro- duced may be three times as long as the part produced . ( 90 ) Divide a right angle into four equal parts . ( 91 ) The diagonals of a square are equal . ( 92 ) A diagonal of a square bisects the square . ( 93 ) If ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 95 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 72 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.