 | 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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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 angle, by twice the... 
