 | 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...square on the other part. PROPOSITION XII. THEOREM. In oUuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...angle, by twice the rectangle contained by the side, upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Henry Major - 1876 - 784 pages
...What is the corresponding result in algebra ? 2. la obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...angle by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...square 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 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... | |
 | Edward Atkins - 1876 - 130 pages
...the 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,... | |
 | 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,... | |
 | University of Madras - 1876 - 580 pages
...equal to the square on the whole line. PART II. VI. In obtuse-angled triangles, if 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 is greater than the squares on the sides... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...produced, shall pass through the point of contact. 6. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...triangle, between the perpendicular and the obtuse angle. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...to three times the square on the other part. 12. In an obtuse-angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the line without the triangle between the perpendicular... | |
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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... 
