Thompson, Bigelow, & Brown, 1873 - Geometry - 110 pages
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A B C adjacent altitude base bisect BOOK called centre chord circle circumference coincide cone Converse convex surface Corollary cylinder DEFINITIONS demonstration describe diagonals diameter difference direction distance divided draw drawn equal equiangular equilateral equivalent Exercises extremities faces feet figure formed four frustum given angle given line given point given side greater half hexagon homologous hypothenuse included angle infinite inscribed internal angles intersection isosceles triangle mean measured meet middle multiplied opposite sides parallel parallel planes parallelogram passing perimeter perpendicular plane plane parallel polygon prism PROBLEM proportion propositions proved quadrilateral quantities radii radius ratio rectangle regular polygon right angles right triangle segment sides similar sphere square straight line surface tangent THEOREM third triangle triangle ABC vertex vertices volume whole
Page 101 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Page 19 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 21 - If the product of two quantities is equal to the product of two others, the...
Page 6 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 43 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 5 - 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.
Page 24 - 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 = e :f Now ab = ab (1) and by Theorem I.
Page 17 - 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.
Page 64 - A Cylinder is a solid figure, described by the revolution of a rectangle about one of its sides, which remains fixed.