 | Robert Simson - 1806 - 548 σελίδες
...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 angkd triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
 | 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... | |
 | Charles Hutton - 1811 - 406 σελίδες
...And AC + BC . AC — BC = AB.AD + BD in the 1st figure. 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... | |
 | Charles Hutton - 1812 - 622 σελίδες
...And AC+BC . AC — BC =AB . AD + BD in the 1st figure. 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... | |
 | John Mason Good - 1813 - 714 σελίδες
...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 σελίδες
...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...produced, the perpendicular falls, and the straight line intercopted without the triangle between the perpendicular and the obtuse angle. Because the straight... | |
 | Euclides - 1816 - 592 σελίδες
...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. : 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
...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 perpendicular and the obtuse angle, Let ABC be an obtuse angled triangle, having the obtuse... | |
 | John Mason Good - 1819 - 800 σελίδες
...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... | |
 | Charles Hutton - 1822 - 616 σελίδες
...+ BC . AC — BC = AB . AB -f- BB in the 1st figure. 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... | |
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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... 
