## 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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**secants**, and 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 ... Page vii

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**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 logarithms ... Page 25

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**secant**or cutting - line . 2. The two angles AGE and CHF , as well as BGE and DHF , are called exterior angles on the same side . 3. The two angles AGF and DHE , as well as CHE and BGH , being interior angles on different sides of the ... Page 27

... . It is evident they will meet in the direction of B and D , on that side of the

... . It is evident they will meet in the direction of B and D , on that side of the

**secant**line which has the sum of the interior angles less than two right angles . OF TRIANGLES . THEOREM XX . If two triangles have FIRST BOOK . 27. Page 41

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**secant**. When a straight line touches the circumference in only one point it is called a tangent ; and the common point of the line and circumference is called the point of contact . Two circumferences are tangent to each other when ...### 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