 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...  Elementary Course of Geometry ... - الصفحة 33بواسطة Charles William Hackley - 1847 - عدد الصفحات: 103عرض كامل - لمحة عن هذا الكتاب
 | Ignace Gaston Pardies - 1734 - عدد الصفحات: 192
...PROP. II. In an Acute-angled Triangle, the Square of the Side (h) fubtending an Acute Angle, " is lefs than the Sum of the Squares of the other two Sides, by double the Rettangle under the whole Safe, (b + a) and the Segment of the Bafe (a) which is next to... | |
 | Robert Simson - 1806 - عدد الصفحات: 546
...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 the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Charles Hutton - 1811 - عدد الصفحات: 406
...AD — BD in the 2d figure. And AC + BC . AC — BC = AB.AD + BD in the 1st figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side...of the other two Sides, by Twice the Rectangle of the Base and the Distance of the Perpendicular from the Obtuse Angle. ( Let ABC be a triangle, obtuse... | |
 | Charles Hutton - 1812 - عدد الصفحات: 620
...AB . AD - BD in the 2d figure. And AC+BC . AC — BC =AB . AD + BD in the 1st figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side...of the other two Sides, by Twice the Rectangle of the Base and the Distance of the Perpendicular from the Obtuse Angle. Let ABC be a triangle, obtuse... | |
 | Charles Butler - 1814 - عدد الصفحات: 528
...from the former,) -- Therefore AB>* —~Ub\* + ~*Tl1= ...... 2 bx * * That is, the square of ^B/the side subtending the obtuse angle,, is greater than the sum of the squares of CB and AC, the sides containing the obtuse angle, by (2 bx) twice the rectangle BC, CD. QED 175. Prop.... | |
 | Charles Hutton - 1816 - عدد الصفحات: 610
...in the 1st figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side subren .ing the Obtuse Angle, is Greater than the Sum of the Squares of the other two Sides, by Twice the Rrctungle of the Base and the Distance of the Perpendicular from the Obtuse Angle. Let ABC be a triangle,... | |
 | Euclides - 1816 - عدد الصفحات: 588
...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 the sides containing the obtuse angle, by twice the, rectangle contained by the side upon... | |
 | Charles Hutton - 1818 - عدد الصفحات: 646
...in the 1st figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side subtenHing 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 (he Perpendicular from the Obtuse Angle. Let ABC be a triangle, obtuse... | |
 | John Playfair - 1819 - عدد الصفحات: 354
...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 the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Charles Hutton - 1822 - عدد الصفحات: 616
...— BD in the 2d figure. And AC + BC . AC — BC = AB . AB -f- BB in the 1st figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side...of the other two Sides, by Twice the Rectangle of the Base and the Distance of the Perpendicular from the Obtuse Angle. Let ABC be a triangle, obtuse... | |
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