| Euclid, Robert Simson - 1829 - 516 Seiten
...same EBCH; therefore also the parallelogram ABCD is equal to EFGH. Wherefore parallelograms, &c. QED **PROP. XXXVII. THEOR. TRIANGLES upon the same base,...the same base BC, and between the same parallels AD,** E AD F BC : the triangle ABC is equal to the triangle DBC. Produce AD both ways to the points E, F,... | |
| John Playfair - 1829 - 186 Seiten
...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 - 1830 - 272 Seiten
...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... | |
| Thomas Perronet Thompson - 1833 - 150 Seiten
...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
...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 * BE parallel... | |
| Euclid - 1835 - 513 Seiten
...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
...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 - 316 Seiten
...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 - 471 Seiten
...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...between the same 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.... | |
| 1836 - 472 Seiten
...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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