An Elementary Geometry and Trigonometry

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Thompson, Bigelow, and Brown, 1872 - 238 pagina's
 

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Pagina 30 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Pagina 49 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Pagina 96 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Pagina 12 - In an isosceles triangle the angles opposite the equal sides are equal.
Pagina 11 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Pagina 23 - If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area.
Pagina 20 - ... polygon, is equal to twice as many right angles as the polygon has sides minus two.
Pagina 71 - The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude.
Pagina 40 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60į : what is the height of the tower?
Pagina 23 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.

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