 In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the 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...  The Element of Geometry - Side 29av John Playfair - 1836 - 114 siderUten tilgangsbegrensning - Om denne boken
 | Euclides - 1865 - 402 sider
...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 is...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 - 1855 - 350 sider
...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 is...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 - 1867 - 424 sider
...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 - 1867 - 426 sider
...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 - 1867 - 474 sider
...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 sider
...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 sider
...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.... | |
 | 1868 - 344 sider
...opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, wlieu produced, the perpendicular falls, aud the atiaight line intercepted between the foot of the... | |
 | Euclides - 1870 - 270 sider
...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...triangle between the perpendicular and the obtuse augle. 3. II. If a st. line be divided into any two parts, the rectangle contained by the whole and... | |
 | Euclides - 1871 - 136 sider
...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. li OV Let ABC be an obtuse-angled A , having L ACB obtuse. From A draw AD x to BC produced. Then must... | |
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