 | Euclides - 1864 - 448 pages
...containing the obtuse angle, by twive the rectangle contained by the side upon which, when produved, the perpendicular falls, and the straight line intercepted...triangle between the perpendicular and the obtuse angle. Let AB C be an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be... | |
 | Architecture - 1865 - 276 pages
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle...triangle between the perpendicular and the obtuse angle. 7. Prop. 14. — Theorem. To describe a square equal to a given rectilineal figure. SECOND DAY.—... | |
 | Robert Potts - 1865 - 528 pages
...side produced, the square on the side subtending the obtuse angle, is .greater than the squares on the sides containing the obtuse angle, by twice the...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be... | |
 | Euclides - 1865 - 402 pages
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side prodnced; then the square of the side subtending the obtuse angle...the rectangle contained by the side upon which, when prodnced, the perpendicular falls, and the straight line intercepted without the triangle between the... | |
 | John Playfair - Geometry - 1855 - 350 pages
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle...which, when produced, the perpendicular falls, and the-straight line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...opposite side produced, the square on the side subtending the,obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...fig., and (AC+BC). (AC-BC)=AB. (AD+BD) in the 1st fig. THEOREM XXXVI. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides by twice the rectangle of the base and the distance of the... | |
 | 1868 - 876 pages
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the...triangle between the perpendicular and the obtuse angle 30 LISTS or PUPILS recommended by the Examiners to receive Honmirt as the result of the Combined Wx'iminers,... | |
 | Robert Potts - 1868 - 434 pages
...opposite tide produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the...which, when produced, the perpendicular falls, and t/ie straight line intercepted without the triangle between the perpendicular and the obtuse angle.... | |
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In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the... 
