## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |

### From inside the book

Results 6-10 of 72

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**greater**than AE , the half of AE + EF . That is , the oblique line terminating farther from the foot of the perpendicular is the longer . Cor . I. The perpendicular measures the shortest distance from a point to a line . Cor . II . From ... Page 28

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**greater**than the included angle of the second , the third side of the first will be**greater**than the third side of the second . In the two triangles ABC and DEF , suppose CA 28 . GEOMETRY . 87 Of triangles. Page 29

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**greater**than BG ( T. VII . ) . That is , AB > DE . Although the triangle DEF , when ap- plied to ABC , may have ...**greater**than the third side of the second , the included angle of the first will be**greater**than the included angle ... Page 32

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**greater**side of every triangle is opposite the**greater**angle , and , conversely , the**greater**angle is opposite the**greater**First . Suppose , in the triangle ABC , the side . 32 GEOMETRY . Page 33

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**greater**than CB ( T. VII . ) ; hence , DA + DC , or its equal CA , is**greater**than CB . Secondly . Suppose , in the triangle ABC , the side CA > CB , then will the angle CBA > CAB . A E C F D B For , through the middle point of the side ...### Other editions - View all

### Common terms and phrases

a+b+c ACē altitude angles equal apothem bisect centre chord circ circumference cone consequently corresponding cosec Cosine Cotang cylinder decimal denote described diameter dicular distance divided draw drawn equation equivalent exterior angles feet figure formed frustum give given line greater half hence homologous sides hypotenuse inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right-angled triangle Scholium secant sector similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang tangent THEOREM three sides triangle ABC triangular prism vertex volume