| William Chauvenet - Geometry - 1871 - 368 pages
...is equal to twice the square of half the base increased by twice the square of the medial line; 2d. **The difference of the squares of the two sides is equal to** twice the product of the base by the projection of the medial line on the base. In the triangle ABC,... | |
| William Chauvenet - Geometry - 1872 - 368 pages
...is equal to twice the square of half the base increased by twice the square of the medial line; 2d. **The difference of the squares of the two sides is equal to** twice the product of the base by the projection of the medial line on the base. In the triangle ABC,... | |
| Euclides - 1874
...difference of the given squares. Cor. 3. — a. The difference of the squares of the sides of a triangle **is equal to the difference of the squares of the segments of the base** made by a perpendicular. For the square of AB is equal to the squares of BD and DA, and the square... | |
| 1875
...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 angled triangles ADB,... | |
| William Alexander Willock - 1875 - 172 pages
...to the rectangle AP-BP, as stated. Con. 3. The difference of the squares of the sides of a triangle **is equal to the difference of the squares of the segments of the base** made by the perpendicular from the vertical angle upon the base. Let ACB be the triangle and CO the... | |
| Rev. James White - 1878 - 148 pages
...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 difference of the segments.... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1879
...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 is lees than the squares... | |
| 1879
...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 less than the squares... | |
| Great Britain. Civil Service Commission - 1879
...ti'iangle 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** tho base. 4. In every triangle the square of the side subtending any of tho acute angles is less than... | |
| Cornell University - 1880
...is equal to twice the square of half the base increased by twice the square of the medial line. (2) **The difference of the squares of the two sides is equal to** twice the product of the base by the distance from the middle of the base to the foot of the perpendicular... | |
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