| Geography - 1867 - 964 pages
...to show. The reader will remember that in Problem XXIV (page 308) it was shown that triangles on the **same base and between the same parallels are equal to one another,** and that triangles on equal bases and between the same parallels are also equal to one another. Now... | |
| 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 the same parallels... | |
| 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 BC, and between... | |
| 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, are equal to one... | |
| 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,... | |
| Euclides - 1814 - 560 pages
...divides the parallelogram ACDB into two equal parts. '- Q. JE. D. PROP. XXXV. THEOR. . PARALLEL0GRAMS **upon the same base, and between the same parallels, are equal to one another.** See the 2d Let the parallelograms ABCD, EBCF be upon the same and 3d fi- base BC, and between the same... | |
| 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 between the same... | |
| 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 BC, and between... | |
| John Playfair - 1819 - 354 pages
...the parallelogram ACDB into two equal parts. Therefore, &c. Q, ED PROP. XXXV. THEOR. Parallelogram* **upon the same base and between the same parallels, are equal to one another.** vi^(sEE THE 2d AND 3d FIGURDS.) Let the parallelograms ABCD, EBCF be upon the same base BC> and between... | |
| Euclid - 1826 - 234 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.... | |
| |