## 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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**given**is as follows : A straight**line**is the shortest distance between two points . A more general definition is as follows : A straight**line**is an indefinite**line**, such , that ...**line**, That any**line**, having two INTRODUCTION . 5. Page 7

... line on a plane from any one point to any other point . With the Compass we can describe on a plane the circumference of a circle having any given point as a centre , and for its radius any

... line on a plane from any one point to any other point . With the Compass we can describe on a plane the circumference of a circle having any given point as a centre , and for its radius any

**given line**. METHODS OF DEMONSTRATION . 10 ... Page 13

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**line**is the shortest distance between two points . XII . Through the same point only one straight**line**can be drawn parallel to another . XIII . Only one straight**line**can be drawn joining two**given**points . XIV . Straight**lines**which ... Page 14

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**given**angle with another**line**. VI . That a**line**may be drawn from the vertex of an angle , bisecting it . OF ANGLES . THEOREM I. When a straight**line**meets or crosses another , the adjacent angles are supplements ; and the opposite ... Page 15

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**lines**are drawn perpen- dicular respectively to its sides , they will form a new angle , either equal to the first , or supplementary to it . Let BAC be the**given**angle , DE perpendic- ular to AB , and FG perpendicular to AC . P D B ...### 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