 | Pierce Morton - 1830 - 584 σελίδες
...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 - 1832 - 358 σελίδες
...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 - 1833 - 168 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | 1835 - 684 σελίδες
...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 - 1835 - 336 σελίδες
...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 - 1836 - 488 σελίδες
...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... | |
 | 1836 - 488 σελίδες
...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.... | |
 | George Darley - 1836 - 172 σελίδες
...; and by the same ART. CGHD is also equal to CABD. Hence, EABF is equal to CGHD. This, &c. ART. 25. Triangles upon the same base and between the same parallels are equal. on the same base AC, and between —-77 the same parallels AC, DF. Then these triangles are equal.... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
