 | Euclides - 1865 - 402 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Prop. 14. To describe a... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight 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... | |
 | 1868 - 876 pages
...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...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... | |
 | 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
...square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle by twice the rectangle contained by either of these sides and the projection on it of the other side ........ 65 Exercises on equivalent figures ....... 66 Quadrature... | |
 | 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
...on the side subtending any of the acute angle* is lea than the square! on the sides containing that angle, by twice the rectangle contained by either...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...on the side subtending any of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle contained by either...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... | |
 | University of Madras - 1873 - 436 pages
...square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight 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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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...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 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 of these sides, and the straight line intercepted between the perpendicular... 
