## 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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**tangents**40 42 Of the measure of angles ... Of inscribed and circumscribed polygons . Of secant and**tangent**circles .. PROBLEMS . Of perpendiculars , angles , and parallels . Construction of polygons .. Of contact Of common measure 47 ... Page vii

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**tangents**, secants , etc ..... To find the sine and cosine of the sum and difference of two arcs Numerical values of sines ,**tangents**, etc ...... CHAPTER II . Explanation of Table I. of logarithms ... Arithmetical calculations by ... Page 41

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**tangent**; and the common point of the line and circumference is called the point of contact . Two circumferences are**tangent**to each other when they have only one point in common . Two circumferences are concentric when they have the ... Page 42

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**TANGENTS**. THEOREM I. Every diameter divides the circle and its circumference into two equal parts . Revolve the portion ACB about the diam- eter AB as a hinge , until it returns to its primitive plane , on the opposite side of AB ... Page 44

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**tangent**to the circumference ( D. IV . ) . Cor . I. If a straight line is**tangent**to the circumference of a circle , it will be perpendicular to the radius drawn to the point of contact . For all other points of the**tangent**line ...### 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