An Elementary Geometry: Plane, Solid, and Spherical : with Numerous Exercises Illustrative of the Principles of Each BookThompson, Brown, 1877 - 240 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B D ABCD adjacent angles altitude apothem arcs A B centre chord circumference circumscribed polygon construct the triangle convex surface Corollary diagonals diameter dicular diedral angles distance divided draw edges equal angles equally distant equivalent bases face angles feet frustum given angle given line given point given side hence homologous lines hypothenuse intersection isosceles triangle line joining line parallel lines A B lines drawn locus middle points mutually equiangular number of sides opposite sides parallelogram parallelopiped perimeter perpen perpendicular plane M N polar triangle polyedral angle polyedrons produced proposition pyramid quadrilateral radii radius ratio rectangle regular polygon respectively equal right triangle Scholium segments similar sphere spherical angle spherical polygon spherical triangle square tangent tetraedron THEOREM triangle A B C triangle is equal triangular prism triedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 129 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Σελίδα 164 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 123 - To construct a square equivalent to the sum of two given squares.
Σελίδα 118 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 20 - If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area.
Σελίδα 75 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 218 - If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles.
Σελίδα 201 - In an isosceles spherical triangle, the angles opposite the equal sides are equal.
Σελίδα 114 - Through a given point to draw a line parallel to a given straight line. Let C be the given point, and AB the given line. From C draw a line CD to AB; at C in the line DC make an angle DCE equal to CDA (5); CE is parallel to AB (I.
Σελίδα 134 - A straight line is perpendicular to a plane, when it is perpendicular to every straight line of the plane which it meets.