 | Robert Simson - Trigonometry - 1806 - 548 pages
...therefore 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...same base BC, and upon the same side of it ; they are between the same parallels. Join AD ; AD is parallel to BC ; for, if it is not, through the t SI.... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...Wherefore, triangles, d 7. Ax. fee. QED " " PROP. XXXIX. THEOR. EQUAL triangles upon the same base, knd upon the same side of it, are between the same parallels. Let the equal triangles ABC, DEC be upon the same base BC, and upon the same side of it ; they are between the same parallels. Join... | |
 | Euclid - Geometry - 1810 - 554 pages
...therefore 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...Let the equal triangles ABC, DBC be upon the same b? BC, and upon the same side of it ; they are between the " parallels. Join AD ; AD is parallel to... | |
 | John Mason Good - 1813 - 714 pages
...Triangles 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 - 592 pages
...therefore 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...same base BC, and upon the same side of it ; they are between the same parallels. Join AD; AD is parallel to BC ; for, if it is not, through , 1. the... | |
 | Daniel Cresswell - Geometry - 1816 - 338 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
...therefore the 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...same base BC. and upon the same side of it ; they are between the same parallels. Join AD ; AD is parallel to BC ; for, if it is not, through tbe point... | |
 | Peter Nicholson - Mathematics - 1825 - 1058 pages
...triangle ABC is equal to the triangle ÜEF. therefore triangles, &c. QED Proposition XXXIX. Theorem. ' Equal triangles upon the same base, and upon the same...same base BC, and upon the same side of it ; they aie between the same parallels. , Join AD : AD is parallel to BC ; for, if it is not, through the point... | |
 | George Lees - 1826 - 276 pages
...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
...therefore 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...Join AD; AD shall be parallel to BC. For, if it is not, through the point A draw * AE parallel to BC, *s1.1. and join EC. The triangle ABC is equal *... | |
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EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. 
