Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |
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Page v
... quadrilaterals ... 33 Additional Theorems of triangles 37 SECOND BOOK , Definitions . 40 Of chords , secants , and tangents 42 Of the measure of angles 47 Of inscribed and circumscribed polygons . 51 Of secant and tangent circles . 57 ...
... quadrilaterals ... 33 Additional Theorems of triangles 37 SECOND BOOK , Definitions . 40 Of chords , secants , and tangents 42 Of the measure of angles 47 Of inscribed and circumscribed polygons . 51 Of secant and tangent circles . 57 ...
Page 10
... quadrilateral ; that of five sides is called a pentagon ; that of six sides is called a hexagon ; one of seven sides is called a heptagon ; one of eight sides an octagon ; one of nine sides a nonagon , and so on for figures of a greater ...
... quadrilateral ; that of five sides is called a pentagon ; that of six sides is called a hexagon ; one of seven sides is called a heptagon ; one of eight sides an octagon ; one of nine sides a nonagon , and so on for figures of a greater ...
Page 11
... quadrilateral are parallel , the figure is called a parallelogram . XXVI . When the four angles of a parallelo- gram are right angles , the figure is called a rectangle . XXVII . When the four sides of a rectangle are equal , the figure ...
... quadrilateral are parallel , the figure is called a parallelogram . XXVI . When the four angles of a parallelo- gram are right angles , the figure is called a rectangle . XXVII . When the four sides of a rectangle are equal , the figure ...
Page 17
... triangles have two angles of the one respec- tively equal to two angles of the other , their third angles will be equal , and the triangles will be mutually equiangular . Cor . IV . In any quadrilateral , the sum 2 FIRST BOOK . 17.
... triangles have two angles of the one respec- tively equal to two angles of the other , their third angles will be equal , and the triangles will be mutually equiangular . Cor . IV . In any quadrilateral , the sum 2 FIRST BOOK . 17.
Page 18
... quadrilateral , the sum of the four interior angles is equal to four right angles . Cor . V. If two angles of a quadrilateral are right , the other two angles will be supplementary . Cor . VI . If from a point D within a triangle ABC ...
... quadrilateral , the sum of the four interior angles is equal to four right angles . Cor . V. If two angles of a quadrilateral are right , the other two angles will be supplementary . Cor . VI . If from a point D within a triangle ABC ...
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Common terms and phrases
ABē ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum GEOMETRY given angle given line gives greater half hence homologous hypotenuse inches included angle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume