| John Playfair - Geometry - 1829 - 210 pages
...to each other. Therefore, parallelograms &c. QED ED. PROPOSITION XXXVII. THEOREM, Triangles on the same base, and between the same parallels, are equal to one another; that is, their surfaces are equal. Let the triangles ABC, DBC be on the same base BC, and between the... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...a rectangle of the same base and altitude. PROP. 25. (Eue. i. 36.) Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let the parallelogramsABCD, E FGH, be upon equal bases BC, FG, and between the same parallels AH, BG. The parallelogram... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...same EBCH: Therefore also the parallelogram ABCD is equal to EFGH. Wherefore, parallelograms, &c. QED PROP. XXXVII. THEOR. Triangles upon the same base,...parallels, AD, BC: The triangle ABC, is equal to the triangle DBC. Produce AD both ways to the points E, F, and through B draw (31. 1.) BE parallel to CA;and... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...originally meant ' the line determined by a plummet.' PROPOSITION XXXV. THEOREM. — Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms AC, BF, be upon the. same base BC, and between the same parallels AF, BC. The parallelograms... | |
| Euclides - 1834 - 518 pages
...and between the same parallels, arc equal to one another. Let the triangles ABC, DBC be upon E AD K the same base BC, and between the same parallels AD, BC : the triangle ABC shall be equal to the triangle DBC. Produce t AD both ways to the points E, F ; and through B, draw... | |
| Euclid - 1835 - 540 pages
...EBCH: Therefore also the parallelogram ABCD is equal to EFGH. Wherefore, " pa" rallelograms," &c. QED PROP. XXXVII. THEOR. Triangles upon the same base,...parallels, are equal to one another. Let the triangles ABC, DEC be upon the same base BC, and between the same parallels AD, BC : The triangle ABC is equal to... | |
| Mathematics - 1835 - 684 pages
...remains (ax. 3.) the complement AE equal to E C. Therefore, &c. PROP. 24. (Eue. i. 35.) Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, E В С F, be upon the same base BG and between the same parallels AF, В С ;... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...EFGH is equal to the same EBCH: Therefore also the parallelogram ABCD is equal to EFGH. PROP. XXXI. THEOR. Triangles upon the same base, and between the same parallels, are equivalent to one another. Let the triangles ABC, DBC be upon the same base BC, and between the flame... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...parallelogram ABCD is equal to EFGH. W||crefore, parallelograms, &c. QED XXXVII. THEOJl. Triangles ufon the same base, and between the same parallels, are equal...parallels, AD, BC : The triangle ABC is equal to the triangle DBC. Produce AD both ways to the points E, F, and through B draw a 31, 1. a BE parallel to... | |
| Mathematics - 1836 - 488 pages
...Parallelograms upon equal bases, and between the same parallels, are equal to one another. XXXVII. Triangles upon, the same base, and between the same parallels, are equal to one another. XXXVIII. Triangles upon equal bases, and between the same parallels, are equal to one another. XXXIX.... | |
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