| 1880 - 160 pages
...the rectangle contained by the whole and that part, together with the square on the other part. 9. 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... | |
| Great Britain. Civil Service Commission - 1880 - 660 pages
...the difference of the squares on OA and AB is equal to the rectangle contained by OB and ОС. 6. 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... | |
| Sandhurst roy. military coll - 1880 - 68 pages
...equal to the square on half the line. State and explain Euclid's corollary to this proposition. 2. 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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...divided at 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 from either of the acute angles to the** oppotite tide produced, the square on the tide subtending the obtuse angle is greater than the squares... | |
| Education Ministry of - 1882 - 302 pages
...lines drawn from the angular points to bisect the opposite sides meet in a point. SECTION IV. 1. 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... | |
| Mary W I. Shilleto - 1882 - 418 pages
...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 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 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... | |
| Education - 1884 - 708 pages
...line between the points of section, is equal to the square on half the line. Prop, s, Bk. H. 3. 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 containing the obtuse angle, by... | |
| University of Cambridge - 1884 - 624 pages
...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 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... | |
| Stewart W. and co - 1884 - 146 pages
...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 drawn...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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