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
... parallel lines 24 Of triangles 28 Of quadrilaterals ... 33 Additional Theorems of triangles 37 SECOND BOOK ... parallels 61 Construction of polygons 66 Of contact 69 Of common measure 70 THIRD BOOK . Definitions . Proportional ...
... parallel lines 24 Of triangles 28 Of quadrilaterals ... 33 Additional Theorems of triangles 37 SECOND BOOK ... parallels 61 Construction of polygons 66 Of contact 69 Of common measure 70 THIRD BOOK . Definitions . Proportional ...
Page 9
... Parallel lines are those which have the same direction . XI . An Angle is the difference in direction of two straight lines meeting or crossing each other . The Vertex of the angle is the point where its sides meet . XII . When one ...
... Parallel lines are those which have the same direction . XI . An Angle is the difference in direction of two straight lines meeting or crossing each other . The Vertex of the angle is the point where its sides meet . XII . When one ...
Page 11
... 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 is called a ...
... 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 is called a ...
Page 13
... parallel to another . XIII . Only one straight line can be drawn joining two given points . XIV . Straight lines which are parallel to the same line are parallel to each other . POSTULATES . I. Let it be granted that a straight line may ...
... parallel to another . XIII . Only one straight line can be drawn joining two given points . XIV . Straight lines which are parallel to the same line are parallel to each other . POSTULATES . I. Let it be granted that a straight line may ...
Page 15
... parallel are either equal or supplementary . First . When the sides AB and AC , forming the angle at A , have ... parallel , they have the same direction in reference to the line CG ( D. X. ) , consequently the angle BAC is equal ...
... parallel are either equal or supplementary . First . When the sides AB and AC , forming the angle at A , have ... parallel , they have the same direction in reference to the line CG ( D. X. ) , consequently the angle BAC is equal ...
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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