Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 ページ |
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多く使われている語句
AABC ABCD altitude arc A B axis base and altitude centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal arcs equal respectively equally distant equiangular polygon equilateral equivalent frustum given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B line A B measured by arc middle point mutually equiangular number of sides parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rectangles regular polygon right angles 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
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40 ページ - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
126 ページ - To describe an isosceles triangle having each of the angles at the base double of the third angle.
175 ページ - Any two rectangles are to each other as the products of their bases by their altitudes.
38 ページ - Any side of a triangle is less than the sum of the other two sides.
349 ページ - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
83 ページ - 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.
207 ページ - To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line.
188 ページ - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
146 ページ - The areas of two triangles which have 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
134 ページ - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. Let a: b = c: d — e :/= g: h.