## 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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**radius**. Hence , all radii of the same circle are equal . B F C A E D A line passing through the centre and ter- minating in both directions by the circumference , is called a diameter . All diameters of the same circle are equal ... Page 7

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**radius**any given line . METHODS OF DEMONSTRATION . 10. There are two distinct methods employed in Geomet- rical demonstration : The Direct Method , and the Indirect Method . The most simple process of direct demonstration is the ... Page 40

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**radius**. Hence , all radii of the same circle are equal . A line passing through the centre and ter- minating in both directions by the circumfer ence , is called a diameter . Hence , all diam- eters of the same circle are equal , each ... Page 43

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**radius**CD be drawn perpendicu- lar to the chord AB . Produce DC to F , and apply the figure DAF to DBF by revolving ...**radius**drawn bisecting a chord is perpendicular to it , and bisects the subtended arc . A**radius**drawn ... Page 44

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**radius**at its extremity , is tangent to the circumference . If ED is drawn perpendicular to the**radius**CA , at its extremity , it will be tan- gent to the circumference ; that is , it will have only the point A in common with the ...### 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