| 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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