## 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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... sides a nonagon , and so on for figures of a greater

... sides a nonagon , and so on for figures of a greater

**number of sides**. XXI . A triangle having the three sides equal , is called an equilateral triangle ; one having two sides equal , is called an isosceles triangle ; and one having no two ... Page 15

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**number**of lines , are together equal to four right angles . Cor . IV . If two adjacent angles , ADC and BDC , are supplementary , their exterior**sides**AD and BD will form one and the same line . F 12 E D 13 C B Scholium . Since a ... Page 41

... sides are in- scribed . A polygon is inscribed in a circle when its sides are inscribed ; and under the same cir- cumstances , the circle is said to circumscribe the polygon . A circle is ...

... sides are in- scribed . A polygon is inscribed in a circle when its sides are inscribed ; and under the same cir- cumstances , the circle is said to circumscribe the polygon . A circle is ...

**number of sides**not SECOND BOOK . 41. Page 42

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**number of sides**not less than three . The equilateral triangle is a regular polygon of three sides . The square is also a regular polygon of four sides . OF CHORDS , SECANTS , AND TANGENTS . THEOREM I. Every diameter divides the circle ... Page 56

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**number of sides**. The tangents thus drawn will form with the sides of the inscribed polygon , AB , BC , CD , etc. , a series of triangles , AA'B , BB'C , CC'D , etc. , all isosceles and equal , since AB BC = CD etc. , and the an ...### 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