## 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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**inscribed**in a circle when its extremities are in the circumference . An angle is**inscribed**in a circle when its ...**regular**polygon has all its sides equal , and all its angles equal . If all the sides are not equal , or all the ... Page 54

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**regular**polygons are capable of being**inscribed**in a circle , and of circumscribing a circle . Let ABCDEF be any**regular**polygon ; and through three consecutive angles A , B , B A H C K and C , describe the circumference of a circle ( T ... Page 55

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**inscribed**in the polygon , and the polygon will circumscribe the circle . Scholium . The point F , the common centre of the**inscribed**and**circumscribed circles**, is called the centre of the**regular**polygon . The radius of the ... Page 56

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**regular**polygon , already**inscribed**in a circle , we draw tangents , we shall thus circumscribe a**regular**polygon of the same number of sides . The tangents thus drawn will form with the sides of the**inscribed**polygon , AB , BC , CD ... Page 67

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**regular inscribed**polygon being given , to construct a regu- lar circumscribed polygon of the same number of sides ; and conversely . First construction . Through the vertices A , B , C , etc. , of the inscribed polygon , draw tangents ...### 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