| Abraham Crocker - 1841 - 486 σελίδες
...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 - 1841 - 378 σελίδες
...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 - 1842 - 332 σελίδες
...(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 σελίδες
...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 - 1844 - 338 σελίδες
...(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... | |
| Euclid, James Thomson - 1845 - 382 σελίδες
...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 σελίδες
...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 - 1845 - 218 σελίδες
...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... | |
| Euclid, John Playfair - 1846 - 334 σελίδες
...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... | |
| Great Britain. Admiralty - 1846 - 128 σελίδες
...equal^ZT " ABCD, EBCF, Ax. 7. .'. the /\K are equal to one another. Prop3 »PROP. XXXV. THEOR. 36. 1 Eu. Parallelograms upon equal bases, and between the same...parallels, are equal to one another. Let ABCD, EFGH, be £ZT" upon = bases BC, FG, and between the same ||s, AH, BG ; then r—r ABCD = Z=7 m EFGH. DE Ax '... | |
| |