Elements of Plane Geometry, الجزء 1

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Harper & Brothers, 1878 - 132 من الصفحات
 

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الصفحة 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
الصفحة 26 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
الصفحة 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
الصفحة 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
الصفحة 63 - 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...
الصفحة 64 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
الصفحة 114 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
الصفحة 57 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
الصفحة 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.
الصفحة 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.

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