## Elements of Geometry and Trigonometry |

### From inside the book

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**circle**may be made to coincide sò nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of ... Page 5

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**Circle**and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas , Problems relating to the Fourth Book , 41 57 · 68 888888 98 BOOK V. Regular ... Page 40

... or therefore , M : NP : Q RST : V : MXR NXS :: PxT : QxV . MxQ = NxP RXV SXT , we shall have MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT MXR NXS :: P × T : Q × V . BOOK III . THE

... or therefore , M : NP : Q RST : V : MXR NXS :: PxT : QxV . MxQ = NxP RXV SXT , we shall have MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT MXR NXS :: P × T : Q × V . BOOK III . THE

**CIRCLE**, AND THE MEASUREMENT OF 40 GEOMETRY . Page 41

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**circle**is a curved line , all the points of which are equally distant from a point within , called the centre . The**circle**is the space terminated by A this curved line . * 2. Every straight line , CA , CE , CD , drawn from the centre ... Page 42

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**circle**, when all its sides are tangents to the circumference : in the same case , the**circle**is said to be inscribed in the po- lygon . ос PROPOSITION I. THEOREM . Every diameter divides the**circle**and its circumference into two equal ...### 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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex