 | Euclides - 1814 - Liczba stron: 560
...parallelogram ABCD is equal to EFGH. Wherefore parallelograms,"&c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base, and between the same parallels, are equal...DBC, be upon the same base BC, and between the same r' parallels AD, BC : The triangle ABC is equal to the triangle DBC. through B draw3 BE pa- ^ ^ Produce... | |
 | Euclides - 1816 - Liczba stron: 588
...divides the parallelogram ACDB into two equal" parts. PROP. XXXV. THEOR. , s«eN. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. See the ad Let the parallelograms ABCD, EBCF be upon the same and 3d fi. base BC, and between the same... | |
 | Euclid, Robert Simson - 1821 - Liczba stron: 514
...divides the parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOR. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another.* "Let the parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels AF, BC; the parallelogram... | |
 | Peter Nicholson - 1825 - Liczba stron: 1046
...the parallelogram ACDB into two eqoal parts, QED Proposition XXXV. Theorem. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels AF BC ; the parallelogram... | |
 | Euclid - 1826 - Liczba stron: 234
...Therefore triangles, &c. QED PROPOSITION XXXVIII. THEOREM. Triangles constituted upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DCE, be constituted upon equal bases вс, CE, and <? A n н between the same parallels BE, AD. The... | |
 | Euclides - 1826 - Liczba stron: 226
...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 - Liczba stron: 546
...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... | |
 | Euclid, Robert Simson - 1829 - Liczba stron: 548
...parallelogram ABCD is equal to EFGH. Wherefore parallelograms, &c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base, and between the same parallels, are equal...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 - Liczba stron: 210
...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 - Liczba stron: 584
...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... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
