## 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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**three**dimensions ; Length , Breadth , and Thickness . IV . A Line has only one dimension ; length . V. A Surface has ...**sides**meet . XII . When one straight line meets or crosses another , so as to make the adjacent angles equal ... Page 10

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**three sides**, and is called a triangle . A polygon of four sides is called a quadrilateral ; that of five sides is called a pentagon ; that of six sides is called a hexagon ; one of seven sides is called a heptagon ; one of eight sides ... Page 17

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**sides**CD or FD . This polygon is said to have a re - entering angle at D. G C Ꭰ A B THEOREM V. In any convex ...**three**angles is equal to two right angles . Cor . II . If one angle of a triangle is a right angle , as in the case ... Page 18

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**three**angles of every triangle is equal to two right angles , it follows that the remaining angle ADB , of the ...**sides**of a triangle , is equal to the sum of the two interior and opposite angles of the triangle . In the triangle ... Page 29

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**three**different positions , as here represented , still our demonstration is alike applicable to either case . A L G B D E Cor . Conversely . If two triangles have two**sides**of the one respectively equal to two**sides**of the other ...### 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