| James Hamblin Smith - Geometry - 1876 - 348 pages
...and 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...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... | |
| Edward Atkins - 1876
...divided 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... | |
| 7 - 1876
...by 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...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... | |
| James Hamblin Smith - Geometry - 1876 - 348 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... | |
| Robert Potts - Geometry - 1876 - 403 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
...of 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... | |
| Āryabhaṭa - 1878
...of CD and the rectangle BD.DC. Wherefore if a straight lino &c. QED PROP. xxix. THEOREM. (E. 2. 12). **In obtuseangled triangles, if a perpendicular be drawn from either of the acute angles to** ihe opposite side produced, the square of the side subtending the obtuse angle, is greater than the... | |
| Oxford univ, exam. papers, 1st publ. exam - 1879
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. **In obtuse-angled triangles, if a perpendicular be...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... | |
| Moffatt and Paige - 1879
...divided in H so that the rectangle AB, BH is equal to the square on A H. QEF Proposition XII. Theorem. **In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse... | |
| Joseph Wollman - 1879
...rectangle contained by the parts, except when the line is bisected, and then they are equal. SECTION IV. i. **In obtuse-angled triangles, if a perpendicular be...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... | |
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