 | Euclid, Robert Simson - 1821 - 514 σελίδες
...BCD, and the diameter BC divides the parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOR. PARALLELOGRAMS upon the same base, and between the...to one another.* "Let the parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels AF, BC; the parallelogram ABCD shall be equal... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...triangle DBC. Wherefore triangles, &c. QED Propoíiíion 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 BF, AD : The triangle... | |
 | Euclid - 1826 - 234 σελίδες
...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.... | |
 | Euclides - 1826 - 226 σελίδες
...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 - 1827 - 546 σελίδες
...and the 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 - 1829 - 210 σελίδες
...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 - 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 Martin Frederick Wright - 1831 - 282 σελίδες
...shall be equal to an nth part of the weight of the body. TRINITY COLLEGE, 1827. 1. PARALI/ELLOGRAMS upon the same base, and between the same parallels, are equal to one another. 2. If a straight line be divided in extreme and mean rate, the parts into which it is divided are incommensurable... | |
 | Augustus De Morgan - 1831 - 108 σελίδες
...BGHA and BPKD are four- sided figures &c. (Construction.) .-. BGHA and BPKD are parallelograms. IX. Parallelograms upon the same base and between the same parallels are equal. (Proved.) EBAFandBGHA, are parallelograms &c. (Construction.) .•. EBAF and BGHA are equal. X. Parallelograms... | |
 | Thomas Perronet Thompson - 1833 - 168 σελίδες
...parallelograms upon equal bases, &c. Which was to be demonstrated. PROPOSITION XXXVII. THEOREM. — Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DEC be upon the same base BC, and between the same paral- EADF lels AD, BC. The triangle... | |
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PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another... 
