| Horatio Nelson Robinson - Mathematics - 1851 - 96 pages
...If a perpendicular be drawn from the vertical angle of any triangle to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. Let ABC be any triangle. Take the longer side as a base, and from the opposite... | |
| Euclides - 1852 - 152 pages
...In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. In any triangle, if a line be drawn from the vertex bisecting the base; the sum... | |
| Horatio Nelson Robinson - Conic sections - 1865 - 472 pages
...If a perpendicular be drawn from the vertical angle of any triangle to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. 27. The square described on the side of an equilateral triangle, is equal to... | |
| Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...If a perpendicular be drawn from the vertical angle of any triangle to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. 27. The square described on the side of an equilateral triangle, is equal to... | |
| Horatio Nelson Robinson - 1875 - 288 pages
...If a perpendicular be drawn from the vert1cal angle of any triangle to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. Let ABC be a triangle. From A let fall AD perpendicular on BC, making two right... | |
| James White - Conic sections - 1878 - 160 pages
...segment from the middle point of the base to the foot of the perpendicular on it. For the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base made by the perpendicular, and this is equal to the rectangle under the sum and... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...vertex of a plane triangle a perpendicular fall upon the base or the base produced, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. 4. In every triangle the square of the side subtending any of the acute angles... | |
| 1879 - 636 pages
...vertex of a plane triangle a perpendicular fall upon the base or the base produced, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. In every triangle the square of the side subtending any of the acute angles is... | |
| Alfred Hix Welsh - Geometry - 1883 - 326 pages
...8. If a perpendicular be drawn from the vertical angle of a triangle to the base, the difference of **the squares of the sides is equal to the difference of the squares of the** segments of the base. 9. The figure formed by joining the adjacent middle points of the sides of a... | |
| Patrick M. Egan - 1883 - 212 pages
...then ACS is the triangle required. The angle ACB is (Cons.) the vertical angle ; AB is the given base; **and the difference between the squares of the sides is equal to the difference** between the squares of the segments of the base AB; or AC* — CB * •= AD* — D&. EXERCISE 191.... | |
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