| Popular educator - 1767
...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... | |
| John Playfair - Euclid's Elements - 1806 - 311 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... | |
| Euclid, Robert Simson - Euclid's Elements - 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 the same parallels... | |
| Euclid - Geometry - 1810 - 518 pages
...fi. *ures-J a 34. 1. bl.Ax. c2. or 3. Ax. d 19. 1. e4. 1. f 3. Ax. Let the parallelograms ABCD, EBCF **be upon the same base BC, and between the same parallels AF, BC;** the parallelogram. ABCD shall be equal to the parallelogram EBCF. If the sides AD, DF of the parallelograms... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...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 - 534 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
...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 - Euclid's Elements - 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 between the same... | |
| John Playfair - Circle-squaring - 1819 - 333 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 - 317 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... | |
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