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ABCD abscissa altitude axis bisect chord circle circular segment circum circumference circumscribing cone conical conjugate construction convex surface cosec cosine cube curve cylinder described diagonal diameter distance divided draw ellipse equal to half equation equivalent feet figure formed frustum Geom geometry given greater hence hyperbola hypothenuse inches inscribed inscribed sphere intersection latus rectum length logarithm magnitude measured multiplied by one-third number of sides opposite ordinates parabola parallel parallelogram perimeter perpendicular plane polyedroid polyedron polygon portion prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon revoloid rhomboid right angled triangle right line root Scholium sector segment similar similar triangles sine slant height solid angle sphere spherical square straight line tangent THEOREM trian triangle ABC triangular triangular prism ungula vertex vertical virtual centre
Side 40 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 39 - The sum of any two sides of a triangle, is greater than the third side.
Side 64 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Side 60 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Side 42 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Side 79 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 90 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Side 215 - To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter...