| Euclides - Geometry - 1853 - 334 pages
...the side subtending either of the acute angles is less than the squares of 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, front the opposite angular... | |
| Lucius D. Gould - Carpentry - 1853 - 234 pages
...find the area of an acute angled triangle. Rule. — 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 base and perpendicular of a right angled triangle, to find the... | |
| William Somerville Orr - Science - 1854 - 534 pages
...than the squares of the sides (С В, В A) containing that angle, by twice the rectangle (C BB D) **contained by either of these sides, and the straight line intercepted between the perpendicular** (AD) and the acute angle (B) : that is, A C2 = С В2 + В A3— twice С BB D. First, let AD fall... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...square of the side opposite to any acute angle is less than the sum of the squares of the aides forming **that angle by twice the rectangle contained by either of these sides and** that part of it nhich is intercepted between a perpendicular let fall upon it from the vertex of the... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...6. 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...sides, and the straight line intercepted between the** acute angle, and the perpendicular let fall upon it from the opposite angle. 7. If a point be taken... | |
| Robert Potts - 1855 - 1050 pages
...parallels. 4. In any triangle the square of the side, subtending an acute angle, is less than the sum of the **squares of the sides containing that angle, by twice the rectangle contained by either of** them and the segment between the acute angle anil, the perpendicular let fall from the opposite angle.... | |
| 1855 - 264 pages
...6. In every triangle, the square of the side suhtending either 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 acute angle, and the perpendicular let fall... | |
| John Playfair - Geometry - 1855 - 334 pages
...THEOR. 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** cither of these sides, and the straight hne intercepted between the perpendicular, let fall upon it... | |
| Euclides - 1856 - 168 pages
...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 by twice...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... | |
| John Playfair - Euclid's Elements - 1856 - 346 pages
...THEOR. 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...let fall upon it from the opposite angle, and the** acuteangle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of... | |
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