| Robert Simson - Trigonometry - 1806 - 546 pages
...was to be done. PROP. XII. THEOR. IN obtuse angled triangles, if a perpendicular be drawn from any of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angkd triangle,... | |
| John Playfair - Mathematics - 1806 - 320 pages
...done, Book II. PROP. XII. THEOR. 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** aigle is greater than the squares of the sides contain ng the obtuse angle, by twice the rectangle... | |
| Charles Hutton - Mathematics - 1811 - 406 pages
...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 - Mathematics - 1812 - 620 pages
...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 pages
...the other part. Prop. XII. Theor. In obtuse angled 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** greatcf than the squares of the sides containing the obtuse angle, by twice the rectangle contained... | |
| Euclides - 1814 - 560 pages
...done. <r HB D PROP. XII. THEOR. IN obtuse angled triangles, if a perpendicular be drawn from any of **the acute angles to the opposite side produced, 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 pages
...to be done. D PROP. XII. THEOtt. IN obtuse angled triangles, if a perpendicular be drawn from any of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. : ABC be an obtuse angled triangle,... | |
| John Mason Good - 1819 - 800 pages
...the other part. Prop. XII. Theor. In obtuse angled 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** anule it greatt-i than the squares of the sides containing the obtuse angle, by twice the rectangle... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...+ 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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...done. Proposition XII. Theorem. In obtuse angled triangles, if a perpendicular be drawn from any of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,... | |
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