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" If a perpendicular be let fall from any angle of a triangle to its opposite side or base, this base is to the sum of the other two sides, as the difference of the sides is to the difference of the segments of the base. "
Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections - Page 149
by Horatio Nelson Robinson - 1854 - 335 pages
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Ohio Educational Monthly and the National Teacher, Volume 50

Education - 1901 - 686 pages
...triangle, if a line is drawn from the vertical angle perpendicular to the base, then the whole base will be to the sum of the other two sides as the difference of those sides is to the difference of the segments of the base. 5. Prove that sin 60°=^ i/~3T and cos...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1902 - 1204 pages
...any angle of a triangle a perpendicular be drawn to the opposite side or base, the whole base will be to the sum of the other two sides as the difference of those two sides is to the difference of the segments of the base. CASE I. Given two angles and a side,...
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Machinists' and Draftsmen's Handbook: Containing Tables, Rules and Formulas ...

Peder Lobben - Mechanical engineering - 1922 - 512 pages
...the Height in any Triangle when the Length of the Three Sides is Given. (See Fig. 2). The base line is to the sum of the other two sides as the difference of the sides is to the difference between the two parts of the base line, on each side of the line measuring the perpendicular height....
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...from it the kind of triangle. 216 PLANE GEOMETRY Proposition XXX. Theorem 225. One side of a triangle is to the sum of the other two sides, as the difference of those sides is to the difference of the segments made by the altitude on the one side. X Z _1_ n 2...
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The Literary and Scientific Register & Almanack ..., Volume 16

1857 - 356 pages
...opposite angles is to the tangent of half their difference. The base of a triangle is to the sum of the sides as the difference of the sides is to the difference of the segments of the base made by the perpendicular drawn to it from the vertical angle. In a right-angled triangle, the base...
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Wood Craft: A Journal of Woodworking with which is Incorporated ..., Volumes 4-5

Patternmaking - 1906 - 520 pages
...angle to the base, as in Fig. 90, the sum of the two sections into which the base has been divided is to the sum of the other two sides as the difference between the other two sides is to the difference between the two sections of the base. Let the side...
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