 | Robert Simson - Trigonometry - 1806 - 546 pages
...diameter BC divides the paralkio c 4. 1. gram ACDB into two equal parts. QED PROP. XXXV. THEOR. See N. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. Sue OH- Let the parallelograms ABCD, EBCF be upon the same base 2dand3d BC, and between... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...diameter BC divides the parallelogram ACDB intq two equal parts. Therefore, &c. QED j / PROP. XXXV. THEOR. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. gures. Seethe 2d Let the parallelograms ABCD, EBCF be upon the same and 3d fi- base... | |
 | George Adams - Geometry - 1813 - 648 pages
...is supposed to stand, and the altitude is the perpendicular falling thereon from the opposite angle. Parallelograms upon the same base, and between the same parallels, are equal. Parallelograms having the same base, and equal altitudes, are equal. Parallelograms having equal bases,... | |
 | John Mason Good - 1813 - 714 pages
...another, and the diameter bisects them, that is, divides them in two equal parts. Prop. XXXV. Theor. Parallelograms upon the same base and between the same parallels, are equal to one another. Prop. XXXVI. Theor. Parallelograms upon equal basis, and between the same parallels,... | |
 | Euclides - 1816 - 588 pages
...diameter BC ^Tli i 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...diameter BC divides the parallelogram ACDB into two equal parts. Therefore, &c. Q, ED PROP. XXXV. THEOfc. Parallelograms upon the same base and between the same parallels, are equal to one another. (SEE THE 2d AND 3d FIGURES.) Let thfe parallelograms ABCD, EBCF be upon the same base... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the diameter BC divides 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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... | |
 | Augustus De Morgan - 1831 - 108 pages
...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 - Euclid's Elements - 1833 - 168 pages
...perpendicular, which 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... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
