 | Peter Nicholson - 1825 - 1046 pagina’s
...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...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let. AD be... | |
 | Euclides - 1826 - 226 pagina’s
...equal to the square of AH. Which was to be done. PROPOSITION XII. THEOREM. In obtuse angled triangles, the square of the side subtending the obtuse angle is greater than the squares, which are made by the sides containing the obtuse angle by twice the rectangle contained under one... | |
 | Robert Simson - 1827 - 546 pagina’s
...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,...twice the rectangle contained by the side upon which, vchen produced, the perpendicular Jails, and the straight line intercepted without the triangle between... | |
 | John Playfair - 1829 - 210 pagina’s
...triangle if a perpendicular be drawn from either of the two acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the sum of the squares of the two sides containing it by twice the rectangle contained by the base and... | |
 | John Playfair - 1832 - 358 pagina’s
...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 greater than the squares of I he sides containing the obtuse angle, by twice Ihe reel angle contained by the side upon which, when... | |
 | John Playfair - 1833 - 346 pagina’s
...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...of the sides containing the obtuse angle, by twice therectangle contained by tfie side upon which, when produced, the perpendicular falls, and the straight... | |
 | Euclid - 1835 - 540 pagina’s
...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...perpendicular falls, and the straight line intercepted wit/tout the triangle between the perpendicular and the obtuse angle. Book II. 12. I. U4. 2. c 47.... | |
 | Robert Simson - 1835 - 544 pagina’s
...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...side upon which, when produced, the perpendicular fulls, and the straight line intercepted without the triangle between the perpendicular and the obtuse... | |
 | John Playfair - 1836 - 148 pagina’s
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, tht square of the side subtending the obtuse angle, is...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
 | 1836 - 488 pagina’s
...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...perpendicular falls, and the straight line intercepted between the perpendieu lar and the obtuse angle. XIII. In every triangle the square of the side subtending... | |
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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... 
