 | Euclides - 1874 - 342 pages
...in H, so that the rectangle AB, BH is equal to the square on AH. QEF PROPOSITION 12. — Theorem. In obtuse-angled triangles, if a perpendicular be drawn...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... | |
 | Euclides - 1874 - 120 pages
...AH. QEF A line so divided is sometimes said to be cut in section.' medial PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn...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... | |
 | Edward Atkins - 1874 - 428 pages
...in H, so that the rectangle AB, BH is equal to the square on AH. QEF Proposition 12. — Theorem. In obtuse-angled triangles if a perpendicular be drawn...of the acute angles to the opposite side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA squares on the sides containing... | |
 | Edward Atkins - 1876 - 130 pages
...in II, so that the rectangle AB, BH is equal to the square on AH. QEF Proposition 12.— Theorem. In obtuse-angled triangles if a perpendicular be drawn...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... | |
 | Henry Major - 1876 - 784 pages
...together with the square on the aforesaid part. What is the corresponding result in algebra ? 2. la obtuse-angled triangles, if a perpendicular be drawn...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... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...one of the parts are equal to three times the square on the other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn...acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squara on the sides containing the obtuse... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...parts are equal to three times the square on the other part. PROPOSITION XII. THEOREM. In oUuse-angled triangles, if a perpendicular be drawn from either...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... | |
 | University of Madras - 1876 - 580 pages
...the whole and each of the parts are together equal to the square on the whole line. PART II. VI. In obtuse-angled triangles, if a perpendicular be drawn...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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...the rectangle All, BH'\a equal to the square on AH. QEF PROPOSITION XIL THEOREM. In obtuse-iznglml triangles, if a perpendicular be drawn from either of the acute angles to the opposite tide produced, the square on the tide tubtending the obtute angle, it greater than the squares on the... | |
 | Education Department,London - 1876 - 1010 pages
...the half and part produced. Describe a rectangle equal to the difference of two given 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... | |
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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... 
