| Euclid, James Thomson - Geometry - 1845 - 382 pages
...PROP. XIII. THEOR. — The angles which one straight line makes with another upon the one side of it are together equal to two right angles. Let the straight...with CD, upon one side of it, the angles CBA, ABD ; these are together equal to two right angles. For, if the ancle CBA be equal to ABD, each of them... | |
| Euclid - Geometry - 1845 - 218 pages
...AB. Which was to be done. PROPOSITION XIII. THEOR. — The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. EUCLID'S ELEMENTS. For if the angle CBA be equal to ABD, each of them { 10 DeV. 2 Ax. 2 AX. D CD is... | |
| Scottish school-book assoc - 1845 - 444 pages
...PROPOSITION I. — THKOREM. The angles ACD and DCB, which one straight line, DC, makes with another, AB, on one side of it, are either two right angles, or are together equal to two right angles. A If the Ls ACD and DCB be equal, each of them is a i'L, (Def. 9.) ; but if they are not equal, conceive... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...THEOR. 13. 1 Eu. of it, Zs DBA, ABC; then /_ DBA + Z. The angles which one straight line makes with another upon one side of it, are either two right...angles, or are together equal to two right angles. Let AB make with DC, on the same side ABC=2rt. Zs DBCDBC If L ABC = L DBA, Der. 10. each of them is a rt.... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...right angles. Let the straight line AB make with CD, upon one side of it the angles CBA, ABD ; these are either two right angles, or are together equal to two right angles. For, if the angle CBA he equal to ABD, each of them is a right angle (Def. 7.) ; but, if not, from... | |
| Euclides - 1846 - 292 pages
...right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these are either two right angles, or are together equal to two right angles. For if the angle CBA be equal A to ABD, each of them is a right I \ ^ angle (Def. 10) : But if not,... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...J_ CH has been drawn, &c. PROP. XII. THEOR. 13. 1 EU. The angles which one straight line makes with another upon one side of it, are either two right angles, or are toffether equal to two right angles. Let AB make wilh DC, on the same side of it, L s DBA, ABC; then... | |
| Dennis M'Curdy - Geometry - 1846 - 168 pages
...prop. 8, (c) def. 10. 13 Th. The angles (ABC, ABD), made by one straight line (AB) with another (CD), upon one side of it, are either two right angles, or are equal to two right angles. ABD, are equal to one another, they are right angles (a); if unequal, from... | |
| John Playfair - Euclid's Elements - 1847 - 340 pages
...PROP. XIII. THEOR. i The angles which one straight line makes with another upon one side of it, art either two right angles, or are together equal to...make with CD, upon one side of it the angles CBA, ABD ; these are either two right angles, or are together equal to two right angles. For, if the angle CBA... | |
| Euclides - 1847 - 128 pages
...first be proved. 35 PROP. XIII. THEOR. GEN. ENUN. — The angles, which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. PART. ENUN. — Let the st. line AB make with CD, upon one side of it, Fig. 1. the Zs CBA, ABD; then... | |
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