Elements of Plane and Solid Geometry |
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Common terms and phrases
ABCD altitude arc A B axis base and altitude centre chord circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided Draw equal respectively equally distant equilateral equivalent figure frustum given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let ABC line A B measured by arc middle point mutually equiangular number of sides parallelogram parallelopiped perimeter perpendicular plane MN prove pyramid Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rectangles regular polygon right angles right section right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square straight line drawn subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume Нур
Popular passages
Page 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Page 50 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Page 202 - In any proportion, the product of the means is equal to the product of the extremes.
Page 190 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Page 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Page 203 - To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line.
Page 349 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Page 56 - The three perpendiculars from the vertices of a triangle to the opposite sides (produced if necessary) are called the altitudes...
Page 83 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.
Page 298 - COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude.