 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted 'between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at 5 an... | |
 | 1868 - 876 pages
...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...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 meet in... | |
 | Robert Potts - 1868 - 434 pages
...either of the acute angles, is less than the squares on the sides containing that angle, by twicp, the rectangle contained by either of these sides, and the straight line intercepted behceen the acute angle and the perpendicular let fall upon it from the opputite angle. Let ABC be... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...THEOREM 30. In any triangle the square on a side opposite an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of those sides and the projection on it of the other side. Let AB C be a triangle, B an acute angle, BD... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 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,... | |
 | Euclides - 1871 - 136 pages
...triangle, the square on the side subtending any of the acute angle* is lea than the square! on the sides containing that angle, by twice the rectangle...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 BC produced.... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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. Fig. 1. Fig. 2. Let ABC be any A , having the / ABC acute. From A draw AD JL to BC or BC produced.... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...triangle the square on the side subtending an acute angle is less than the sum ot the squares on the sides containing that angle by twice the rectangle contained by either of them and the distance between a lina drawn perpendicular to this side (or its production) from the... | |
 | University of Madras - 1873 - 436 pages
...triangle, prove that the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (a.) ABC is a triangle having the angle at C obtuse... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
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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... 
