The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Resultat 1-5 av 17
Side 2
... length , breadth and thickness , and occupies a portion of the boundless space around us . Length , breadth , and thickness are called dimensions of space . Space can be of either one , two , or three dimensions . The distance of one ...
... length , breadth and thickness , and occupies a portion of the boundless space around us . Length , breadth , and thickness are called dimensions of space . Space can be of either one , two , or three dimensions . The distance of one ...
Side 3
... length in each position . But , even if he could do this in each case with mathematical accuracy , he could never be sure that the surface of his board was plane , because he could never apply his rule between every two points , there ...
... length in each position . But , even if he could do this in each case with mathematical accuracy , he could never be sure that the surface of his board was plane , because he could never apply his rule between every two points , there ...
Side 4
... length ; he simply compares lines , angles , or figures , and then concludes their equality or inequality . The vast majority of such magnitudes are incommensurable with one another , that is , they cannot be measured by the same unit ...
... length ; he simply compares lines , angles , or figures , and then concludes their equality or inequality . The vast majority of such magnitudes are incommensurable with one another , that is , they cannot be measured by the same unit ...
Side 29
... length , may be fitted on , and be said to coincide with , another angle which is contained by lines only a few inches in length . The student should now write out or repeat the fourth proposition with each of the following diagrams ...
... length , may be fitted on , and be said to coincide with , another angle which is contained by lines only a few inches in length . The student should now write out or repeat the fourth proposition with each of the following diagrams ...
Side 36
... length , to ensure the circumference of the circle cutting it in two points . The following are given as exercises on the first twelve propositions . When the words " vertex of a triangle " is used , it means one of the angular points ...
... length , to ensure the circumference of the circle cutting it in two points . The following are given as exercises on the first twelve propositions . When the words " vertex of a triangle " is used , it means one of the angular points ...
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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.