 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...  Elements of Geometry: Plane and Solid - Page 179by John Macnie - 1895 - 374 pagesFull view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 - Mathematics - 1811 - 406 pages
...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 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 Perpendicular from the... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...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 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 Perpendicular from the... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...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 - Mathematics - 1816 - 610 pages
...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... | |
 | Euclides - 1816 - 588 pages
...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... | |
 | John Playfair - 1819 - 354 pages
...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 - Mathematics - 1822 - 616 pages
...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 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 Perpendicular from the... | |
 | Charles Hutton - Mathematics - 1825 - 608 pages
...the 2d figure. DB id the 1st figUFC. And AC + BC AD AC - BC = AB THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side subtending the obtuse Angle, is Greater than the Sum of the Squares »f the other two Sides, by Twice the Rectangle of the i •!-.<• and the Distance of the Perpendicular... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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... | |
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