| Henry Major - Student teachers - 1873 - 580 pages
...other line is parallel to it but AD ; AD is therefore parallel to BF. XLI. — If a parallelogram and triangle be upon the same base, and between the same parallels, the parallelogram shall be double of the triangle. Let the parallelogram ABCD and the triangle EBC be upon the same base... | |
| Edward Atkins - 1874 - 426 pages
...except AD ; Therefore AD is parallel to BF. Therefore, equal triangles, &c. Proposition 41. — Theorem. If a parallelogram and a triangle be upon the same...and between the same parallels, the parallelogram shall be double of the triangle. Let the parallelogram ABCD, and the triangle EBC be upon the same... | |
| Euclides - 1874 - 342 pages
...therefore 4. AD is parallel to BF. Wherefore, equal triangles upon, &c. QED PROPOSITION 41. — Theorem. If a parallelogram and a triangle be upon the same...and between the same parallels; the parallelogram shall be double of the triangle. Let the parallelogram ABCD, and the triangle EBC be upon the same... | |
| Edward Atkins - 1874 - 428 pages
...triangle be upon tlie same base, and between the same parallels, the parallelogram shall be double oft/ie triangle. Let the parallelogram ABCD, and the triangle EBC be upon the same base BC, and between the same parallels BC, AE; The parallelogram ABCD shall be double of the triangle EBC. CONSTRUCTION.... | |
| Euclides - 1874 - 120 pages
...parallelogram and a triangle be on the same base and between the same parallels, the parallelogram shall be double of the triangle. . Let the parallelogram ABCD and the triangle ' • EBC be on the same base BC, aud between the same parallels BC, AE : the parallelogram ABCD shall be double... | |
| James Hamblin Smith - Latin language - 1875 - 282 pages
...'PROPOSITION XLI. 67 PROPOSITION XLI. THEOREM. If a parallelogram and a triangle be upon the eam* tosc, and between the same parallels, the parallelogram is double of the triangle. Let the rj ABCD and the A EEC be on the same base BO and between tl;e same \\s AE, BO. Then must C ABCD be... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...points of the sides of a triangle, divide it into four equal triangles. PROPOSITION >.!.!. THEOREM. If a parallelogram and a triangle be upon the same...the parallelogram is double of the triangle. Let the EJ ABCD and the A EEC be on the same base BC and between the same ||s AE, BC. Then must C3 ABCD be... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...middle points of the sides of a triangle, divide it into four equal triangles. PROPOSITION XLL THEOREM. If a parallelogram and a triangle be upon the same...and between the same parallels, the parallelogram is doubk of the triangle. Let the CU ABCD and the A EBC be on the same base BO and between the same IIs... | |
| Edward Atkins - 1876 - 130 pages
...except AD ; Therefore AD is parallel to BF. Therefore, eqxial triangles, &c. Proposition 41.— Theorem. If a parallelogram and a triangle be upon the same...and between the same parallels, the parallelogram shall be double of the triangle. Let the parallelogram ABCD, and the triangle EBC be upon the same... | |
| James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pages
...Ax. 7. From the foregoing notes the truth of the following theorem will be readily seen : — (E.) " If a parallelogram and a triangle be upon the same...and between the same parallels, the parallelogram shall be double of the triangle " (in area).— Euc. I., 41. Ex. ABCD and EBC— EDA (F ) " Triangles... | |
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