 | Robert Simson - Trigonometry - 1806 - 546 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 - 714 pages
...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 - 588 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 - 352 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 - 354 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 - 1046 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 - 276 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 - 546 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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Equal triangles upon the same base, and upon the same side of it, are between the same parallels. 
