 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 acute angle and the perpendicular let fall upon it from the opposite angle. 3. Describe an equilateral... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...subtending an acute angle 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 perpendicular let fall on it from the opposite angle and the acute angle. Demonstrate the proposition in the case where the... | |
 | Euclides - 1864 - 448 pages
...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 acute angle and the perpendicular let fall upon it from the opposite angle, Let ABC be any triangle,... | |
 | Euclides - 1864 - 262 pages
...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 acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
 | Euclides - 1865 - 402 pages
...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. 14. To describe a... | |
 | Robert Potts - 1865 - 528 pages
...the acate 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 acute angle and the perpendicular let Jail upon it from the opposite angle. Let ABC be any triangle,... | |
 | John Playfair - Geometry - 1855 - 350 pages
...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,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
...an acute angle, 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 perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B an... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...an acute angle, 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 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
...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 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... | |
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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... 
