 | Euclides - 1856 - 168 pages
...LVI.— EUCLID II. 13. 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 and the acute angle. Let ABC be any triangle (Figs. 43, 42) and the angle at B one of its acute angles ; AD the perpendicular on BC (produced if... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...subtending either of the acute angles is less than the sum of the squares on the sides including this angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced if necessary, from the opposite angular... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...triangle, the square on the side subtending either of the acute angles is less than the 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... | |
 | 1857 - 486 pages
...their areas. 3. In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that...upon it from the opposite angle, and the acute angle. of the hexagonal figure thus formed, is equal to four times the sum of the squares of the sides of... | |
 | 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
...side subtending either of the acute angles is less than the squares of the sides containing that acute angle by twice the rectangle contained by either of...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, the squares of... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...perpendicular and the obtuse angle. In every triangle the square of the side subtending an acute angle is less than the squares of the sides containing that...sides, and the straight line intercepted between the acute angle and the perpendicular lot fall upon it from the opposite angle. If four straight lines... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...following proposition, In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that...angle, by twice the rectangle contained by either of those sides and the straight line intercepted between the acute angle and the perpendicular let fall... | |
 | Euclides - 1860 - 288 pages
...every triangle, the square on the side subtending any of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle...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 the sides containing... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle, the square on the side subtending either of the acute ungles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let AB C be any triangle,... | |
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In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the... 
