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" 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. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Page 155
by Thomas Malton - 1774 - 440 pages
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 426 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. 93. The squares of the diagonals of a parallelogram are together equivalent to...
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...parallelogram. 18. In any triangle, if a perpendicular is drawn from the vortex 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. 19. If one side of a right triangle is double the other, the perpendicular from...
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Secondary-school Mathematics, Book 2

Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...EXERCISE 68 1. In any triangle, if a perpendicular is drawn from the vertex 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. 2. In any triangle, if an altitude is drawn, the ratio of the sum of the sides...
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Annual Calendar of McGill College and University, Montreal

McGill University - 1868 - 396 pages
...sides. a. If a perpendicular be let full from the vertex of a triangle on the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. 2. Construct a square equal to a given rectilineal figure. 3. The angle in a...
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