| W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...angle. In every triangle the square of the side subtending an acute angle 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 lot fall upon it from the opposite angle. If four straight lines... | |
| Euclides - 1858 - 248 pages
...side subtending either of the acute angles is less than the squares of the sides containing that acute **angle by twice the rectangle contained by either of...line intercepted between the perpendicular let fall** upon it from the opposite angle and the acute angle. CONS.— 12. 1., Pst. 2. DEM. — 7- II. If a... | |
| Sandhurst roy. military coll - 1859 - 672 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 contained by either of** those sides and the straight line intercepted between the acute angle and the perpendicular let fall... | |
| Euclides - 1860 - 288 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending any of the acute angles **is less than the squares on the sides containing that...line intercepted between the perpendicular let fall** upon it from the opposite angle, and the acute angle. Given any triangle ABC, and the angle at B one... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending either of the acute ungles, **is less than the squares on the sides containing that...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. Let AB C be any triangle,... | |
| John Playfair - Geometry - 1860 - 332 pages
...subtending any of the acute angles, is less than the squares of the sides containing that angle, by turice **the rectangle contained by either of these sides,...line intercepted between the perpendicular, let fall** upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one... | |
| Horatio Nelson Robinson - Geometry - 1860 - 472 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,... | |
| Woolwich roy. military acad - 1861 - 572 pages
...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...line intercepted between the perpendicular let fall** upon it from the opposite angle and the acute angle. In any triangle shew that the sum of the squares... | |
| War office - 1861 - 260 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 contained by either of** those sides and the straight line intercepted between the acute angle and the perpendicular let fall... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...scalene triangle. 2. In every triangle, the square on the side subtending either of the acute angles **is less than the squares on the sides containing that...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... | |
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