 In every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...  A Supplement to the Elements of Euclid - Page 86by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
 | Cambridge univ, exam. papers - 1856 - 200 pages
...squares on the sides containing that angle, by twice the rectangle contained by either of those sides and the straight line intercepted between the perpendicular...let fall upon it from the opposite angle, and the acute angle. In any acute.angled triangle ABC, AD, BE, CF are drawn respectively perpendicular to the... | |
 | Euclides - 1856 - 168 pages
...squares of the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. Let ABC be any triangle (Figs. 43, 42) and the angle at B one of its acute angles ; AD... | |
 | 1857 - 486 pages
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...let fall upon it from the opposite angle, and the acute angle. 4. If squares be described on the sides of any triangle, and the angular points be joined,... | |
 | Lucius D. Gould - 1857 - 464 pages
...find the area of a¿ acute ang'ed ti'iangle. .RuZe.—Multiply the length of the longest side by half the perpendicular let fall upon it from the opposite angle, and the product will be the area. Having the baee and pe¿pendiouZar of a ¿ig1¿t angled triangle, to find... | |
 | Euclides - 1858 - 248 pages
...the sides containing that acute angle by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. CONS.— 12. 1., Pst. 2. DEM. — 7- II. If a at. line be divided into any two parts,... | |
 | Euclides - 1860 - 288 pages
...on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...let fall upon it from the opposite angle, and the acute angle. Given any triangle ABC, and the angle at B one of its acute angles, and upon BC, one pf... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...squares of the sides containing that angle by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. In any triangle shew that the sum of the squares of the two sides is equal to twice the... | |
 | Euclides - 1862 - 172 pages
...of the sides containing that angle, by tenet the rectangle contained by either of those sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite anyle, and the acute angle. (References — Prop. i. 16,47; H. 3, 7, 12.) Let ABC be any triarglp,... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...let fall upon it from the opposite angle, and the acute angle. V. Algebra. 1. If a = o, b = i, c = 2, d = — 3, find the value of . acd+ 2be + d ^ '... | |
 | John Playfair - Geometry - 1855 - 350 pages
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle,andthe acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and... | |
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