| Gerardus Beekman Docharty - Geometry - 1867 - 283 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
...to 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...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
...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
...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 - 349 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
...equal to BD ; 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...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,... | |
| Charles Mansford - 1874
...AH. QEF A line so divided is sometimes said to be cut in section.' medial PROPOSITION 12. 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... | |
| 1874
...divided 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... | |
| James Martin (of the Wedgwood inst, Burslem) - 1874
...divided 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...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... | |
| 1874
...divided 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...of the acute angles to the opposite side produced,** tlie square o?i the side subtending the obtuse angle is greater than t/iA squares on the sides containing... | |
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