 | Euclides - 1848 - عدد الصفحات: 52
...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 upon it from the opposite angle. PROP. XIV. PROBLEM. BOOK... | |
 | Great Britain. Council on Education - 1848 - عدد الصفحات: 596
...either of the acute angles is less than tbe square of the sides containing it by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of... | |
 | J. Goodall, W. Hammond - 1848 - عدد الصفحات: 390
...either of the acute angles is less than the square of the sides, containing it by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of... | |
 | Euclid, Thomas Tate - 1849 - عدد الصفحات: 120
...square of the base of an isosceles triangle is double the rectangle contained by either side and by the line intercepted between the perpendicular let fall upon it from the opposite angle, and the extremity of the base. 14. If two sides of a trapezium be parallel to each other, the squares of its... | |
 | 1850 - عدد الصفحات: 400
...sides containing that angle, by twice the rectangle contained by either of those sides, and the right line intercepted between the perpendicular let fall...upon it from the opposite angle, and the acute angle. 4. Equal right lines in a circle are equally distant from the centre; and those which are equally distant... | |
 | Euclides - 1853 - عدد الصفحات: 146
...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...upon BC, one of the sides containing it, let fall (I. 12.) the perpendicular AD from the opposite angle : the square of AC opposite to the angle B, is... | |
 | Royal Military Academy, Woolwich - 1853 - عدد الصفحات: 400
...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...from the opposite angle and the acute angle. Let ABC beany triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing... | |
 | Euclid, John Playfair - 1853 - عدد الصفحات: 336
...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...perpendicular, let fall upon it from the opposite angle, and ihn acute , angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC,... | |
 | Euclides - 1853 - عدد الصفحات: 176
...betumeen the perpendicular let fall upon it from tlie opposiie angle and the acute angle. LET ab С be any triangle, and the angle at b one of its acute angles, and upon b С, one of the sides containing it, let fall the perpendicular (i. 12) ad from the opposite angle:... | |
 | Euclides - 1853 - عدد الصفحات: 334
...the acute angles is less than the squares of the sides including this angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced if necessary, front the opposite angular... | |
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Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. 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... 
