| Robert Simson - Trigonometry - 1806 - 518 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 - Euclid's Elements - 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 - 518 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 - 722 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 - 528 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 - 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
...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 - 372 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 - 266 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 - 513 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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