 | Edward Atkins - 1874 - 436 pages
...square on AH. QEF Proposition 12. — Theorem. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without th« triangle,... | |
 | Edward Atkins - 1874 - 428 pages
...the opposite side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...having three acute angles. PROPOSITION III. In obtuse-angled triangles, the square on the side opposite the obtuse angle is greater than the squares on the sides containing it by twice the rectangle contained by either of those sides and the part of it intercepted between... | |
 | University of Madras - 1876 - 580 pages
...a perpendicular be drawn from either of the acute angles to the opposite side produced, prove that the square on the side subtending the obtuse angle...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...on the other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...side subtending the obtuse angle is greater than the squara on the sides containing the obtuse angle, by twice the rectanglt contained by the side, upon... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...acute angles to the opposite tide produced, the square on the tide tubtending the obtute angle, it greater than the squares on the sides containing the...obtuse angle, by twice the rectangle contained by the tide upon which, when produced, the perpendicular falls, and 'the straight line intercepted without... | |
 | Education Department,London - 1876 - 1010 pages
...squares. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles on the opposite side produced, the square on the side subtending the obtuse angle is greater than the square on the sides containing the obtuse angle, by twice the rectangle contained by the side on which,... | |
 | Edward Atkins - 1876 - 130 pages
...square on AH. QEF Proposition 12.— Theorem. 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 sid)tending the obtuse angle is greater than the squares on the sides containing the obtuse angle,... | |
 | Euclides - 1879 - 146 pages
...is a right angle. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...the other part. PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be dravw, from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side, upor^which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
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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... 
