 | 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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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... 
