 | Euclides - 1814 - 560 pages
...triangle ABC to equal to the base EF; the triangle DEF; and the other angles to which the equal sidesare opposite, shall be. equal each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to DEF, so that the point A may be on D, and the straight... | |
 | Daniel Cresswell - Geometry - 1816 - 352 pages
...the angle A BAC equal to the angle EOF; the base, BC, shall be equal to the base, EF; and the other angles, to which the equal sides are opposite, shall be equal, each to each. From A and D, as poles, at the equal distances AB, DE describe (Art. 59.) the circles BG and HE ; which... | |
 | Euclides - 1816 - 588 pages
...equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. THE angles at the base of an isosceles triangle are equal... | |
 | John Playfair - 1819 - 354 pages
...equal to one another ; their bases shall be equal, and their areas shall be equal, and their other angles, to which the equal sides are opposite, shall be equal, each to each. Which was to be demonstrated. • PROP. V. THEOR. The angles at the base of an Isosceles triangle are... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...the base BC shall be equal to the base EF; and the triangle ABC to the triangle DEF; and the other angles, to which the equal sides are opposite, shall be equal each to each, viz. the r» angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to DEF,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...one another, their bases shall likewise be equal, and the triangles be equal, and their other anglet to which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. Proposition. V. Theorem. The angles at the base of an Isosceles triangle... | |
 | Euclides - 1826 - 226 pages
...angles equal to the remaining angles, each to each, to which the equal sides are opposite; namely, the angle ABC to the angle DEF ; and the angle ACB to the angle DFE. For if the triangle ABC be applied to the triangle DEF, and the point A be put upon the point D, and... | |
 | Euclid - 1826 - 234 pages
...angles equal to the remaining angles, each to each, to which the equal sides are opposite ; namely, the angle ABC to the angle DEF ; and the angle ACB to the angle DFE. For if the triangle ABC be applied to the triangle DEF, and the point A be put upon the point D, and... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...one another, their bases shall likewise be equal, and the triangles shall be equal, and their other angles to which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an isosceles triangle are equal... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...us ions la this enunciation are more briefly expressed by saying, that the triangle* are ever y -may equal. each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle DEF, so that the point A may be on D, and... | |
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J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. 
