 | Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...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... | |
 | Gerardus Beekman Docharty - 1867 - 474 pagina’s
...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 - 876 pagina’s
...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 - 344 pagina’s
...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 pagina’s
...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 - 1872 - 376 pagina’s
...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 - 1873 - 588 pagina’s
...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,... | |
 | Euclides - 1874 - 120 pagina’s
...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... | |
 | Edward Atkins - 1874 - 426 pagina’s
...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... | |
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In obtuse-angled triangles, 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 angle, by twice the... 
