 | John Playfair - Mathematics - 1806 - 320 pages
...square of the side subtending the obtuse aigle is greater than the squares of the sides contain ng the obtuse angle, by twice the rectangle contained...perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. a 12. 1. b4.! c 47. 1. Let ABC b( an obtuse angled... | |
 | John Mason Good - 1813 - 714 pages
...angles to the opposite side produced, the square of the side subtending the obtuse angle is greatcf than the squares of the sides containing the obtuse...triangle between the perpendicular and the obtuse angle. Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is... | |
 | Euclides - 1814 - 560 pages
...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...produced, the perpendicular falls, and the straight line intercopted without the triangle between the perpendicular and the obtuse angle. Because the straight... | |
 | Euclides - 1816 - 588 pages
...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...triangle between the perpendicular and the obtuse angle. : ABC be an obtuse angled triangle, having the obtuse angle ACS, and from the .point A. let AD be drawn"... | |
 | John Playfair - 1819 - 354 pages
...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...perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle, Let ABC be an obtuse angled triangle, having the obtuse... | |
 | John Mason Good - 1819 - 800 pages
...angles to the opposite side produced, the square of the side subtending the obtuse anule it greatt-i than the squares of the sides containing the obtuse angle, by twice the rectangle contained br the side upon which, when produced, the perpendicular falls, and the straight line intercepted without... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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...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 (12. 1.)... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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...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 - Euclid's Elements - 1833 - 346 pages
...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 the sides containing the obtuse angle, by twice therectangle contained by tfie side upon which, when produced, the perpendicular falls, and the straight... | |
 | Euclides - 1834 - 518 pages
...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...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 * perpendicular... | |
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... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... 
