 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...  Elementary Course of Geometry ... - Pàgina 33per Charles William Hackley - 1847 - 103 pàginesVisualització completa - Sobre aquest llibre
 | Gerardus Beekman Docharty - 1867 - 474 pàgines
...BC)= AB (AD— BD) in the 2d 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...squares of the other two sides by twice the rectangle of the base and the distance of the perpendicular from the obtuse angle. Let ABC be a triangle obtuse... | |
 | Edward Sang (F.R.S.E.) - 1875 - 148 pàgines
...similar computations for the sides 680, 652, 423. LESSON XLIX. Part 2. THE square of the subtense of an obtuse angle is greater than the sum of the squares of the containing sides; the square of the subtense of an acute angle is less than the sum of the squares... | |
 | Āryabhaṭa - 1878 - 100 pàgines
...triangles, if a perpendicular be drawn from either of the acute angles to ihe opposite side produced, the square of the side subtending the obtuse angle, is greater than the sides containing that angle, by twice the rectangle contained by the side to which, when produced,... | |
 | Sandhurst roy. military coll - 1880 - 68 pàgines
...4-1945143, log 15651 = 4-1945421. c 2 MATHEMATICS. (2.) 1. In any obtuse-angled triangle, the square on the side subtending the obtuse angle is greater than the sum of the squares on the other two sides, by twice the rectangle contained by one of the sides, and the distance between... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pàgines
...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 rectangle contained by the side upon... | |
 | Simon Newcomb - 1882 - 372 pàgines
...+ V — 2ab cos y. J Proof. It is shown in geometry that in any triangle the side opposite an acute angle is greater than the sum of the squares of the other two sides by twice the product of one of these sides into the projection of the other side upon it. If a be the acute angle,... | |
 | 1883 - 248 pàgines
...triangles if a perpendicular be drawn from any one 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 rectangle contained by the side upon... | |
 | 1883 - 548 pàgines
...squares on the sides which contain the acute angle ; (e}. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it ; (/). In an isosceles triangle whose vertical angle is double the angle... | |
 | Stewart W. and co - 1884 - 272 pàgines
...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 rectangle contained by the side upon... | |
 | 1884 - 266 pàgines
...triangles, if a perpendicular be drawn from any one 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 rectangle contained by the side upon... | |
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