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Elements of Euclid [Selections from Book 1-6] Adapted to Modern Methods in ...
Ingen forhåndsvisning tilgjengelig - 2015
ABCD altitude base BOOK called centre chord circle circumference cloth coincide common compounded Const construction conv Conversely definition describe diagonal diameter difference distance divided double draw drawn equal extremities Fcap figure follows formed four fourth GEOGRAPHY geometrical given circle given line given point greater half hence hypotenuse inscribed intersecting Join less Let ABC magnitudes manner mean measure meet method middle point multiple opposite sides parallel parallelogram pass perpendicular polygon problem produced Prop proportional Proposition quantities radius ratio rectangle contained regular remaining required to prove respectively right angles schol segments shew shewn sides similar Similarly square straight line taken tangent third touch triangle ABC units vertical whole
Side 68 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Side 50 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram is double of the triangle.
Side 87 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.
Side 30 - Any two sides of a triangle are together greater than the third side.
Side 206 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle...
Side 89 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.