| Mary W I. Shilleto
...students are advised not to confine themselves to one paper, but to make use of the whole set. («) 1. **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... | |
| Education Ministry of - 1882
...parts are always greater than twice their rectangle except when the line is bisected. SECTION IV. 1. **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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...divided at H, to that the rectangle AB, BH it equal to the square on AH. QEF PROPOSITION 12. THEOREM. **In obtuse-angled triangles, if a perpendicular be drawn from either of the acute** anglet to the opposite side produced, the square on the side subtending the obtuse angle it greater... | |
| Cambridge univ, exam. papers - 1884
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. **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... | |
| Stewart W. and co - 1884
...squares on the two parts are always greater than twice their rectangle by re2. QED SECTION IV. 1. (a) **In obtuse-angled triangles, if a perpendicular be...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... | |
| Education - 1884
...the right angle is equal to the squares described upon the sides which contain the right angle. 2. **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... | |
| Woolwich roy. military acad - 1884
...that the sum of the triangles APB, PCD is half the parallelogram. 5. In an obtuse-angled triangle, **if a perpendicular be drawn from either of the acute angles to the opposite side produced,** prove that the square of the side subtending the obtuse angle is greater than the squares of the sides... | |
| Oxford univ, local exams - 1885
...produced. 7. Parallelograms on equal bases, and between the same parallels, are equal to one another. 8. **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... | |
| Education - 1885
...between the points of section, is equal to the square on half the line. Euclid, Bk. II., Prop. 5. 2. **In obtuse-angled triangles, if a perpendicular be...drawn from either of the acute angles to the opposite** sideproduced, the square on the side subtending the obtuse angle, is greater than the squares on the... | |
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