| John Playfair - Euclid's Elements - 1806 - 320 pages
...THEOR. IF a perpendicular be drawn from any angle of a triangle to the opposite side, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. Book IT. Let ABC be a. triangle, having the side AB greater than AC, and AD a... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...(29.) In any triangle if a line be drawn from the vertex at right angles to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. S From A the vertex of the triangle ABC, let AD be drawn perpendicular to the... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...In any triangle, if a line be drawn from the vertex at right angles to the base ; the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. 30. In any triangle, if a line be drawn from the vertex bisecting the base ;... | |
| Industrial arts - 1825 - 490 pages
...Theorem. In any triangle, if a perpendicular be let fall from the vertex to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** two segments of the base. 14. Problem. To construct a square that shall be equal to two given squares.... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...the sides be given, the problem to determine the triangle is indeterminate, because the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base, and may, therefore, be inferred from the base and the point of section. The geometrical... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...(</) In every triangle, if a perpendicular be drawn from the vertex to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base, ie the base is to the sum of the sides as the difference of the sides to the... | |
| Mathematics - 1835 - 684 pages
...if a perpendicular be drawn from the vertex to the base, or to the base produced, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base, or of the base produced, may be staled thus : — the base is to the sum of the... | |
| Euclides - 1845 - 544 pages
...vertex of a plane triangle, a perpendicular fall upon the base or the base produced, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. 74. If from the middle point of one of the sides of a right-angled triangle a... | |
| Euclides - 1847 - 128 pages
...— In any triangle, if a line be drawn from the vertex perpendicular to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. PART. ENUN. — Let ABC be any A ; from the vertex A draw AD X to the base BC;... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...5. In any triangle if a line be drawn from the vertex at right angles to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. 6. If from one of the acute angles of a right-angled triangle, a line be drawn... | |
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