| Robert Simson - Trigonometry - 1806 - 518 pages
...triangle ABC is equal to the 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
...upon equal bases, and between 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 - 528 pages
...the triangle ABC is equal to the 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... | |
| Daniel Cresswell - Geometry - 1816 - 294 pages
...between the same two equal and parallel circles, AH and BIC. r PROP. X. (206.) Theorem. Equal spherical **triangles upon the same base, and upon the same side of it,** or upon equal arches of the same great circle and towards the same parts, are between the same parallel... | |
| John Playfair - 1819 - 317 pages
...triangle ABC is equal to thf triangle DEF. Wherefore triangles, &c. Q, ED 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 - 372 pages
...ABC is equal to the triangle 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 - 272 pages
...the same base, and between the same 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 - 513 pages
...the triangle ABC is equal to the 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... | |
| Walter Henry Burton - Astronomy - 1828 - 84 pages
...hand, equal triangles Prop. xii. upon the same base (or upon equal bases in the same straight line) **and upon the same side of it, are between the same parallels.** For if the straight line which joins the vertices of the two triangles be not parallel to the base,... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...in the circumference which bisectsthe angle between them.] (c) The vertices of all equal spherical **triangles upon the same base and upon the same side of it,** lie in the circumference of a small circle, such that one equal and parallel to it may be drawn through... | |
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