| Euclides - 1865 - 402 pages
...1. D. On the Relations between the Sides of a Triangle and the Perpendicular from the Vertet. 1. In **obtuse-angled triangles, if a perpendicular be drawn...from either of the acute angles to the opposite side** prodnced, the square on the side subtending the obtuse angle is greater than the squares on the sides... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...to the square on AH. QEF PKOPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular lie **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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...to the square on AH. QEF PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular lie **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... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...fig., and (AC+BC). (AC-BC)=AB. (AD+BD) in the 1st fig. THEOREM XXXVI. In any obtuse-angled triangle, **the square of the side subtending the obtuse angle is greater than the** sum of the squares of the other two sides by twice the rectangle of the base and the distance of the... | |
| 1868 - 886 pages
...two right angels 20 3. Any two sides of a triangle are together greater than the third side 20 4. 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... | |
| 1868 - 344 pages
...the whole and that part, together with the square of the other part. 3. In an obtuse angled triangle, **if a perpendicular be drawn from either of the acute angles to the opposite side** prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides... | |
| Euclides - 1871 - 136 pages
...three times the square on the other part. In obtuse-angled triangles, if a perpendicular be arawn rom **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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...the other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn rom **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... | |
| Henry Major - Student teachers - 1873 - 592 pages
...and FH is the square of AH ; therefore the rectangle AB, BH is equal to the square of AIL XII. — In **obtuse-angled triangles, if a perpendicular be drawn...the opposite side produced, the square of the side** sub' tending the obtuse angle, is greater than the squares of the sides containing the obtuse angle,... | |
| Edward Atkins - 1874 - 424 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... | |
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