## 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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**radii**of the same circle are equal . B F C A E D A line passing through the centre and ter- minating in both ...**radii**, the dis- tance between their extremities which termi- nate in the circumference , will embrace an arc . When ... Page 7

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**radii**are When the arc said to be the one perpendicular to the other . between the**radii**is less than a quadrant , the angle is called acute . When the arc is greater than a quadrant , the angle is called obtuse . The magnitude of an ... Page 40

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**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 being made up of two ... Page 41

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**radii**and the intercepted arc is called a sector . IV . When a straight line cuts the circum- ference of a circle it is called a secant . When a straight line touches the circumference in only one point it is called a tangent ; and the ... Page 42

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**radii**to these points , we should have more than two equal lines drawn from the same point to a straight line , which is impossible ( B. I. , T. XII . , C. II . ) . * * When a reference is made from one Book to another Book , the Book ...### 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