| Euclides - 1863 - 74 pages
...obtained ; the product of the base and altitude gives the area of a parallelogram : PROP. 39. — TIIEOK. Equal triangles upon the same base and upon the same side of it are between the same parallels. CON.— Pst.'l, P. 31.— DEM.— P. 37, Ax. 1. Letthe AS ABC, qual, ittne ASAUU, -Lii3u,De equal,... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...Parallelograms which have two sides and the included angle equal in each, arc them:elves equal. 22. Equivalent triangles upon the same base, and upon the same side of it, are between the same parallels. 23. If the middle points of the sides of a trapezoicl, which are not parallel, be joined by a straight... | |
| Euclides - 1864 - 448 pages
...equal to the triangle DEF. Wherefore, triangles upon equal bases, &c. 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. AD Join AD ; then AD shall be parallel... | |
| Euclides - 1864 - 262 pages
...equal to the triangle DEF. "Wherefore, triangles upon equal bases, &c. QED PROPOSITION XXXIX. THEOREM. Equal triangles upon the same base and upon the same side of it, art between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon... | |
| Robert Potts - 1865 - 528 pages
...same base and upon the tame side of it, art "between the same parallels. Let the equal triangles AB C, 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. Join AD; then AD shall be parallel... | |
| Euclides - 1865 - 402 pages
...38. Triangles upon equal bases, and between the same parallels, are equal to one another. Prop. 39. Equal triangles upon the same base, and upon the same side of it, nre between the same parallels. Prop. 40. Equal triangles upon equal bases in the same straight line,... | |
| John Playfair - Geometry - 1855 - 360 pages
...XXXIX. THEOR. Equal triangles upon the same hast, and ttpon the same side of it, are between the samt parallels. Let the equal triangles ABC, DBC be upon the same base BC, and UDOO die same side of it ; they are between the same parallels. Join AD ; AD is parallel to BC ; for,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...DEF. Wherefore, triangles &c. QED PROPOSITION 39. THEOREM. Equal triangles on the same base, and on the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be on the same base BC, and on the same side of it : they shall be between the same parallels. Join AD.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...&c, QED PROPOSITION 40. 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 equal triangles ABC, DEF be on equal bases BC, EF, in the same straight line BF, and on the same side of it : they shall... | |
| Robert Potts - 1868 - 434 pages
...QED PROPOSITION XXXIX. THEOREM. Equal triangles upon the same base and upon the same tide of it, an between the same parallels. Let the equal triangles...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... | |
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