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added algebraical angle ABC angle BAC base brackets called cent centre circle coefficient common Const contained decimal denominator describe difference distance divided divisible divisor double draw drawn equal equation evident expression exterior angle factor figures Find four fraction give given given straight line greater half Hence integer interest interior join less letter measure meet method metres miles Multiply negative obtained operation opposite parallel parallelogram perpendicular positive PROOF.—Because Proposition quantity quotient ratio rectangle Reduce remainder respectively result right angles rule segment shown sides square square root straight line subtraction suppose term third touch triangle triangle ABC twice units whole
Side 272 - The angles in the same segment of a circle are equal to one another.
Side 233 - 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 A and BC be two straight lines, and let BC be divided into any...
Side 112 - IF two triangles have two sides of the one equal to two sides of the...
Side 128 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 119 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Side 113 - ... equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other.
Side 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Side 281 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.