| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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 rectangle contained by the side** on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 rectangle contained by the side** on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
| 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
...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...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle 30 LISTS or PUPILS recommended... | |
| Robert Potts - 1868 - 434 pages
...opposite tide 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...which, when produced, the perpendicular falls, and** t/ie straight line intercepted without the triangle between the perpendicular and the obtuse angle.... | |
| 1868 - 344 pages
...opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on **the sides containing the obtuse angle, by twice the rectangle contained by the side upon which,** wlieu produced, the perpendicular falls, aud the atiaight line intercepted between the foot of the... | |
| Euclides - 1870 - 270 pages
...THEOR. — (Important.) Tn obtuse angled triangles, if a perpendicular be drawn from either of tlie **acute angles to the opposite side produced, the square...which when produced the perpendicular falls, and the** st. line intercepted without the triangle between the perpendicular and tJie obtuse angle. CONS. —... | |
| Euclides - 1871 - 136 pages
...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...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. li OV Let ABC be an obtuse-angled... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by ttcice **the rectangle contained by the side, upon which, when...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. a Let ABC be an obtuse.angled... | |
| Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...obtuse-angled triangle the square on the side subtending the obtuse angle exceeds the sum of the squares on **the sides containing the obtuse angle by twice the rectangle contained by** either of them and the distance between a perpendicular drawn to that side produced from the opposite... | |
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