 | John Playfair - Geometry - 1855 - 350 pages
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle,andthe acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...by the parts. II. 12 to 14. 144. The square on the base of an isosceles triangle is equal to twice the rectangle contained by either side and by the...line intercepted between the perpendicular let fall on it from the opposite angle and the extremity of the base. 145. In any triangle the sum of the squares... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...by the parts. II. 12 to 14. 144. The square on tho base of an isosceles triangle is equal to twice the rectangle contained by either side and by the...line intercepted between the perpendicular let fall on it from tho opposite angle and the extremity of the base. 145. In any triangle the sum of the squares... | |
 | 1868 - 876 pages
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...(let fall upon it from the opposite angle) and the acute angle 25 •J. From two given points on the same side of a given line, draw two lines which shall... | |
 | Euclides - 1871 - 136 pages
...square! on the sides containing that angle, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the acute angle. Fig. 1. Fig. 2. Let ABC be any A , having the L ABC acute. From A draw AD J. to BC or... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...squares on the sides containing that angle, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the acute angle. Fig. 1. Fig. 2. Let ABC be any A , having the / ABC acute. From A draw AD JL to BC or... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the sides containing it by twice the rectangle contained by either of those sides and the part of it intercepted between the perpendicular let fall upon it from the opposite angle and the obtuse angle. (' Let ABC be an obtuse-angled A , having the obtuse LACB, and from B let fall BK j.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...squares on the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. Construct a square that shall be equal to the difference between the sum of the squares... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the parts. '«. ^II. 12 to 14. 144. The square on the base of an isosceles triangle is equal to twice the rectangle contained by either side and by the...line intercepted between the perpendicular let fall on it from the opposite angle and the extremity of the base. 145. In any triangle the sum of the squares... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...squares on the sides containing that angle, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the acute angle. In any quadrilateral the squares on the diagonals together equal twice the sum of the... | |
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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 either of these sides, and the straight line intercepted between the perpendicular... 
