## Elements of Geometry and Trigonometry |

### From inside the book

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... . Polyedrons , 142 BOOK VIII . The three round bodies , 166 · BOOK IX . Of Spherical Triangles and Spherical Polygons , The regular Polyedrons , APPENDIX . · 186 205 PLANE TRIGONOMETRY . Division of the

... . Polyedrons , 142 BOOK VIII . The three round bodies , 166 · BOOK IX . Of Spherical Triangles and Spherical Polygons , The regular Polyedrons , APPENDIX . · 186 205 PLANE TRIGONOMETRY . Division of the

**Circumference**, 207 General. Page 6

Adrien Marie Legendre Charles Davies. PLANE TRIGONOMETRY . Division of the

Adrien Marie Legendre Charles Davies. PLANE TRIGONOMETRY . Division of the

**Circumference**, 207 General Ideas relating to the Trigonometrical Lines , · 208 Theorems and Formulas relating to the Sines , Cosines , Tan- gents , & c . 215 ... Page 41

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**circumference**, is called a diameter . From the definition of a circle , it follows that all the radii are equal ; that all the diameters are equal also , and each double of the radius . 3. A portion of the**circumference**, such as FHG ... Page 42

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**circumference**. CD is a tangent . The point M , where the tangent touches the**circumference**, is called the point of contact . In like manner , two**circumferences**touch each other when they have but one point in common . OOK 9. A ... Page 43

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**circumference**of a circle in more than two points . For , if it could meet it in three , those three points would be equally distant from the centre ; and hence , there would be three equal straight lines drawn from the same point to ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex