| Robert Simson - Trigonometry - 1806 - 546 pages
...triangle DEF. Wherefore, triangles, &c. QED PROP. XXXIX. THEOR. EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it ; they are... | |
| John Mason Good - 1813 - 714 pages
...the same parallels, are equal to one another. Prop. XXXIX. Theor. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Prop. XL. Theor. Equal triangles upon equal bases, in the same straight line, and towards the same... | |
| Euclides - 1816 - 588 pages
...triangle DEF. Wherefore triangles, &c. QED PROP. XXXIX. THEOR. EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it ; they are... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...triangle DEF. Wherefore triangles, &Lc. QED PROP. XXXIX. THEOR. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it ; they are... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...ÜEF. therefore triangles, &c. QED Proposition XXXIX. Theorem. ' Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it ; they aie... | |
| George Lees - 1826 - 276 pages
...parallels, the parallelogram is double of the triangle. Cor. 3. Equivalent triangles upon the same base, and upon the same side of it, are between the same parallels. Book I. a 14.1 b 11. 1. c2. ELEMENTS PROP. XVI. THEOREM. Parallelograms, CABD, EFHG, upon equal bases,... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...triangle DEF. Wherefore triangles, &c. QED PROP. XXXIX. THEOR. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it : they shall... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...bases, and between the same parallels, are equal to-one another : and conversely, equal triangles, upon the same base, or upon equal bases in the same straight line, and towards the same paru, are between the same parallels. The first part of the proposition is manifest... | |
| Mathematics - 1835 - 684 pages
...bases, and between the same parallels, are equal to one another : and conversely, equal triangles, upon the same base, or upon equal bases in the same straight line, and towards the same parts, are between the same parallels. The first part of the proposition is manifest... | |
| Euclid - 1835 - 540 pages
...triangle DEF. Wherefore, " triangles" &c. QED PROP. XXXIX. THEOR. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it; they are between... | |
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