| Robert Simson - Trigonometry - 1806 - 518 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 - Euclid's Elements - 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 - 722 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 - 528 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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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 - 372 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 - 513 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 - 150 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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