| 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
...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 angle, by twice...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, the sum... | |
| 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
...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 angle by twice...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
...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,... | |
| Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...square on a side opposite an acute angle is less than the sum of the squares on the other two sides, **by twice the rectangle contained by either of these sides, and the** distance from the vertex of the acute angle to the foot of the perpendicular let fall on this side,... | |
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