## 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

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**greater**than a quadrant , the angle is called obtuse . The magnitude of an angle may be estimated or measured by means of any particular angle , taken as the unit angle . The right angle is generally the angle chosen as the unit angle ... Page 10

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**greater**than a right angle . XV . When the sum of two angles is equal to a right angle , they are called Complementary angles ; each being the comple- ment of the other . XVI . When the sum of two angles is equal to two right angles ... Page 13

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**greater**than any of them . IX . Things which coincide , or fill the same space , are iden- tical . X. All right angles are equal to one another . XI . A straight line is the shortest distance between two points . XII . Through the same ... Page 18

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**greater**than the angle ACB , opposite this side . C B For , the sum of the two angles DAB , DBA is obviously less than the sum of the two angles CAB , CBA . And since the sum of the three angles of every triangle is equal to two right ... Page 19

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**greater**than their difference . C First . The straight line AB is the shortest distance between A and B ( A. XI . ) , and there- fore shorter than the broken line AC + CB . The same reasoning applies to each of the sides . Hence , we ...### 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