| Euclides - 1879
...the parts. 3. If CH produced meets BF at L, the angle CLB is a right angle. 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 squares on the sides containing the obtuse... | |
| Geometry - 1879 - 36 pages
...and one part are equal to three times the square on the other part. 12. In an obtuse-angled triangle, **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... | |
| James Hamblin Smith - Euclid's Elements - 1879 - 349 pages
...the other part. PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be dravw, **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... | |
| Edward Harri Mathews - 1879
...produced. ^ Describe a rectergle 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... | |
| Great Britain. Civil Service Commission - 1880
...ABC, 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...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
...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...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 - 1880
...the 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...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, F. B. Harvey - 1880 - 119 pages
...AH ; and the straight line AB is divided into two parts in H, us required. QEF PROP. 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 squares on the sides containing the obtuse... | |
| 1880
...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...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 - 400 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... | |
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