Plane Geometry: With Problems and Applications

Allyn and Bacon, 1910 - 280 σελίδες

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Σελίδα 223 - If two triangles have two sides of the one equal to two sides of the other...
Σελίδα 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 60 - 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 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 182 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Σελίδα 161 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Σελίδα 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Σελίδα 210 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 31 - Kuclid divided unproved propositions into two classes: axioms, or "common notions," which are true of all things, such as, " If things are equal to the same thing they are equal to each other"; and postulates, which apply only to geometry, such as,

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