| John Playfair - 1806 - 311 Seiten
...AB.BH is equal to the square of AH. Which was to be done, Book II. PROP. XII. THEOR. IN obtuse angled **triangles if a perpendicular be drawn from either...acute angles to the opposite side produced, the square** of the side subtending the obtuse aigle is greater than the squares of the sides contain ng the obtuse... | |
| Robert Simson - 1827 - 513 Seiten
...rectangle AB, BH is equal to the square of AH. Which was to be done. PROP. XII. THEOR. In obtuse angled **triangles, if a perpendicular be drawn from either...acute angles to the opposite side produced, the square** of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
| Euclides - 1834
...the rectangle AB, BH is equal to the square of AH. Which was to be done. PROPOSITION XII. THEOR. — **In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square** of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
| Euclides - 1837
...ie, fig FK = AB% ie, fig. AD, 4. that FH = HD, 3. that .'. AS x BH = AH*. PROPOSITION XII. Theorem. **In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square** of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
| Charles Reiner - 1837
...subtending the right angle is equal to the sum of the squares of the sides containing the right angle. 10. **In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square** of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
| Euclides - 1838
...Which was to be done. PROP. XII. THEOR. In an obtuseangledtriangle, if a perpendicular be drawnfrom **either of the acute angles to the opposite side produced, the square** of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
| Euclides - 1841
...AH. Which was to be done. PROP. XII. THEOR. In obtuse-angled Mangles, if a perpendicular be dratcn **from either of the acute angles to the opposite side produced, the square** of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
| 1844
...between the points of section, is equal to the square of half the line. 7. In obtuse angled-triangles, **if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square** of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
| Robert Potts - 1845
...divided in H, so that the rectangle AB, BH is equal to the square of AH. QE r. PROPOSITION XII. THEOREM. **In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square** of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
| 1846
...2a(a+ &) + £". Or(rt -|- b)" + b t =2b(a + b+ a 8 . PROP. XLVII. THEOR. 12. 2 Eu . In obtuse angled **triangles, if a perpendicular be drawn from either...acute angles to the opposite side produced, the square** of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
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