| Peter Nicholson - Mathematics - 1825 - 372 pages
...same EBCH : Therefore also the parallelogram ABCD is equal to EFGH. Wherefore parallelograms, &c. QED **Proposition, XXXVII. Theorem. Triangles upon the same base, and between the same parallels, are** eqnal to one another. Let the triangles ABC,DBC, be upon the same base BC, and between the same parallels... | |
| Euclid - 1826 - 236 pages
...shall the two trapeziums be equal to one another. PROPOSITION XXXVII. THEOREM. Triangles constituted **upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC,** DBC, be constituted upon the same base вс, and between the same parallels AD, вс. The triangle... | |
| Euclides - 1826 - 226 pages
...shall the two trapeziums be equal to one another. PROPOSITION XXXVII. THEOREM. Triangles constituted **upon the same base, and between the same parallels, are equal to one another.** » 3i. i. parallel to сл, " and through c draw CF, parallel to в D. Therefore each of them EBCA,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...diameter BC divides the parallelogram ACDB into two equal parts.' ei. ED PROP. XXXV. THEOR. Parallelograms **upon the same base, and between the same parallels, are equal to one another. Let the** parnllelograms ABCD, EBCF be upon the same base BC, and between the same parallels AF, BC : the parallelogram... | |
| John Playfair - Geometry - 1829 - 186 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... | |
| 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 ;... | |
| Euclid - 1835 - 540 pages
...triangle d 7. Ax. DBC. Wherefore, " triangles," &c. QED 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 ABC is equal to... | |
| 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 to one another. Let the triangles ABC,** DBC be upon the same base BC, and between the same parallels, AD, BC : The triangle ABC is equal to... | |
| Mathematics - 1836 - 472 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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