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ABCD acº adjacent angles algebraic algebraic quantities altitude base centre chord circ circle circular sector circumference circumscribed coefficient cone consequently contains Corollary cube cylinder degree Demonstration denominator denoted diameter difference divided dividend division enunciation equal equivalent evident example exponent expression factors figure fraction frustum given gives greater greatest common divisor hence homologous sides inscribed less letters logarithm manner measure multiplied obtain OREM parallel parallelogram parallelopiped perimeter perpendicular plane angles polyedron preceding prism proportion proposed equation proposition quotient radical sign radii radius ratio rectangle regular polygon remainder result right angles Scholium similar solid angle sphere spherical square root straight line substitute subtract suppose surface term THEOREM third tion triangle ABC triangular pyramids unity unknown quantity vertex whence whole numbers
Side 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Side 151 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Side 76 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Side 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Side 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Side 160 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Side 203 - In every triangle the sum of the three angles is equal to two right angles.
Side 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.