 | Robert Potts - Geometry - 1876 - 446 pages
...THEOREM. Equal trianglei upon the tame base and upon the same tide of it, are between the tame parallel*. Let the equal triangles ABC, DBC be upon the same base BC and upon the same side of it. Then the triangles ABC, DBC shall be between the same parallels. AD Join AD; then AD shall be parallel... | |
 | Henry Major - 1876 - 784 pages
...lines drawn from the vertex, one bisecting the vertical angle, the other perpendicular to the base. 2. Equal triangles upon the same base and upon the same side of it are between the same parallels. ., Point out where the demonstration begins. Algebra.— 1. Simplify a — (&— c) — |6— (a—... | |
 | Richard Wormell - 1876 - 268 pages
...parallel straight lines, towards the same parts, are also themselves equal and parallel. . . 59 39. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. .. .. .. .. .. .. 141 40. Equal triangles upon the same side of equal bases, that are in the same straight... | |
 | Edward Atkins - 1877 - 72 pages
...Therefore, triangles, &c. QED Proposition 39. — Theorem. Equal triangles upon the same base, and on tJie same side of it, are between the same parallels. Let...equal triangles ABC, DBC be upon the same base BC, and on the same side of it ; They shall be between the same parallels. CONSTRUCTION.- — Join AD ; AD... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...vertical angle equal to ACB. PROPOSITION V. 46. Required the locus of the vertices of all equivalent triangles upon the same base and upon the same. side of it. . . . Let AB be the given base ; let ABC be a triangle c P having the given area, and let it be situated... | |
 | Moffatt and Paige - 1879 - 474 pages
...equal to the triangle DE F. Therefore, triangles upon equal bases, etc. QED Proposition XXXIX. Theorem. Equal triangles upon the same base, and upon the same...upon the same base BC, and upon the same side of it. Then the triangles ABC, DBC shall be between the same parallels. Join AD ; then AD shall be parallel... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...on the same base and on opposite sides of it. If CD meets AB in E, then CE, ED are also equal. 39. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. AB, CD are parallel straight lines ; AD, BC meet in E, and CD is produced to F, so that the triangles... | |
 | Euclides - 1879 - 146 pages
...&c. QED PROPOSITION XL. THEOREM. Equal triangles, on equal bases in the same straight line, and on the same side of it, are between the same parallels. Let the = As ABC, DEF be on == bases EC, EF, in the same straight line BF, and on the same side of it. Then... | |
 | 1880 - 594 pages
...lines drawn from the vertex, one bisecting the vertical angle, the other perpendicular to the base. 2. Equal triangles upon the same base and upon the same side of it are between the same parallels. Point out where the demonstration begins. Algebra. — i. Simplify — a — (bc)- {b-(ac}} — [a—... | |
 | 1880 - 160 pages
...lines, make the alternate angles equal to each other ; the two straight lines shall.be parallel. 5. Equal triangles upon the same base and upon the same side of it, are between the same parallels. 6. If the square described upon one of the sides of a triangle, be equal to the squares described upon... | |
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EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. 
