# Elements of plane (solid) geometry (Higher geometry) and trigonometry (and mensuration), being the first (-fourth) part of a series on elementary and higher geometry, trigonometry, and mensuration

1845

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Side 40 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 120 - E to A, from A to B, from B to C, and from C to...
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...
Side 52 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.