| Abraham Crocker - 1841 - 486 pages
...will be the rhomboides. W For Practice. Note. Parallelograms constituted upon the same base (or on **equal bases), and between the same parallels, are equal to one another.** — EUCLID, I. 35. and 36. In every quadrilateral (or four-sided) figure, the four angles, taken together,... | |
| Euclides - Geometry - 1841 - 378 pages
...equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVIII. THEOR. Triangles upon, eqtial **bases, and between the same parallels, are equal to one another. Let** the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD: the triangle... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...(7. Ax.) ; therefore the triangle ABC is equal to the triangle DBC. PROP. XXXVIII. THEOR. Triangles **upon equal bases, and between the same parallels, are equal to one another. Let** the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : The triangle... | |
| Scotland free church, gen. assembly - 1847 - 554 pages
...it. Therefore ABCD and EFGH, being each of them equal to GCDH, are equal to one another. Wherefore, **parallelograms upon equal bases, and between the same parallels, are equal to one another.** 4. Let AB be divided into two parts in C,-any part, AB'=AC»+CD' + 2AC.CB. J Upon AB describe a square... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...(7. Ax.) ; therefore the triangle ABC is equal to the triangle DBC. PROP. XXXVIII. THEOR. Triangles **upon equal bases, and between the same parallels, are equal to one another.** Produce AD both ways to the points G, H, and through B draw BG parallel (31. 1.) to CA, and through... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...parallelogram AC is equal to the parallelogram BF.* Therefore parallelograms, &c. PROP. XXXVI. THEOB. — **Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let** AC, EG be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram... | |
| Euclides - 1845 - 546 pages
...equal to the triangle DBC. Wherefore triangles, &c. «. ED PROPOSITION XXXVIII. THEOREM. Triangles **upon equal bases, and between the same parallels, are equal to one another. Let** the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels /,"/•', AD. Then... | |
| Euclid - Geometry - 1845 - 218 pages
...BOOK I. PROP. XXXVIII. XXXIX. B CE H • 31. J. Def. 34. 1 . PROPOSITION XXXVIII. THEOR. — Triangles **upon equal bases, and between the same parallels, are equal to one another. Let** the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : the triangle... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...the equald?"" ABCD, EBCF, Ax. 7. .'. the /\* are equal to one another. PROP. XXXV. THEOR. 36. 1 Eu. **Parallelograms upon equal bases, and between the same...parallels, are equal to one another. Let ABCD, EFGH, be** £Z7°" upon = bases BC, FG, and between the same ||s, AH, BG; then /—7 m ABCD = /—7" EFGH. A DEH... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...equal (3. Ax.) that is, the parallelogram ABCD is equal to the parallelogram EBCF. PROP. XXXVI. THEOR. **Parallelograms upon equal bases, and between the same...parallels, are equal to one another. Let ABCD, EFGH be** parallelograms upon equal bases BC, FG, and between the same parallels AH, BG ; the parallelogram ABCD... | |
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