 | 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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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. 
