 | John Playfair - 1806 - 320 σελίδες
...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 σελίδες
...opposite side produced, the square of the side subtending the obtuse angle is greatcf than the squares of the sides containing the obtuse angle, by twice the...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 σελίδες
...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...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 σελίδες
...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,...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 σελίδες
...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...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 σελίδες
...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...intercepted without the triangle between the perpendicular аи-I the obtuse angle. Pmp. XIII. Theor. In every triangle, the square of the side subtending any... | |
 | Robert Simson - 1827 - 546 σελίδες
...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 rectangle contained by the side upon which, vchen produced, the perpendicular Jails, and the straight line intercepted without the triangle between... | |
 | John Playfair - 1833 - 346 σελίδες
...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 line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse... | |
 | Euclid - 1835 - 540 σελίδες
...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...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 σελίδες
...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...side upon which, when produced, the perpendicular fulls, and the straight line intercepted without the triangle between the perpendicular and the obtuse... | |
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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 on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the... 
