A Treatise on Special Or Elementary Geometry, Τόμοι 1-2

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Sheldon, 1872 - 1 σελίδες

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Σελίδα 219 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 111 - If the diagonals of a parallelogram are equal, the figure is a rectangle.
Σελίδα 130 - 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 will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Σελίδα 33 - Cut out two such triangles and try it Ex. 6. If you have two triangles with only two sides of one respectively equal to two sides of the other, can you make one fit as a pattern on the other ? Try it. Ex. 7. If you have two triangles with two sides in one equal respectively to two sides in the other, and the included angle in one greater than in the other, how is it with the third sides of the triangles ? 76.
Σελίδα 109 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 106 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Σελίδα 250 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 245 - If from any point there extend two lines tangent to a circumference, the angle contained by the tangents is double the angle contained by the line joining the points of contact and the radius extending to one of them.
Σελίδα 141 - Hence, the area of a trapezoid is equal to the product of its altitude by the line connecting the middle points of the sides which are not parallel.
Σελίδα 81 - In the same or in equal circles, of two unequal chords, the less is at the greater distance from the centre. DEM. — Let CE < AB, then is the perpendicular OD, which measures the distance of CE from the centre, greater than OD' •which measures the distance of AB from the centre.

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