Elements of Geometry with Exercises for Students: An an Introduction to Modern GeometryWilson, Hinkle & Company, 1876 - 372 من الصفحات |
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عبارات ومصطلحات مألوفة
ABCD adjacent angles altitude angles are equal angles formed anharmonic ratio axis base bisector bisects central angles chord circumference circumscribed polygon coincide common cone construct Corollaries cylinder diagonals diameter dihedral angles distance divided draw equal angles equally distant equiangular equiangular polygon equilateral equivalent exterior angle facial angles frustum given line given point given straight line greater harmonic hence homologous hypotenuse indefinitely inscribed angle isosceles lateral edges Let ABC locus middle point number of sides oblique obtuse opposite sides parallelogram parallelopiped pendicular perimeter perpendicular plane angles plane embracing point of tangency polar pole polyhedral angle polyhedrons prism produced proportional Proposition pyramid quadrilateral radical axis radii radius rectangle regular polygon respectively equal right triangle secant segments similar sphere spherical polygon spherical triangle square surface tangent tetrahedron triangle ABC trihedral vertex vertices
مقاطع مشهورة
الصفحة 59 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
الصفحة 72 - 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.
الصفحة 322 - Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle.
الصفحة 58 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
الصفحة 336 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
الصفحة 329 - Theorem.—If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the greater included angle.
الصفحة 316 - The centre of the sphere is the vertex of the pyramid, and the spherical polygon is the base of the pyramid.
الصفحة 79 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
الصفحة 85 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
الصفحة 331 - The area of a lune is to the surface of the sphere as the angle of the lune is to four right angles, or as the arc which measures that angle is to the circumference.