## Elements of Geometry and Trigonometry |

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Page 4

The proposition in Book V. , which proves that a polygon and

The proposition in Book V. , which proves that a polygon and

**circle**may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia . Page 5

The

The

**Circle**and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . Planes and Solid Angles , Polyedrons , 400mm The Proportions of Figures and the Measurement of Areas , - Problems relating to the ... Page 40

MN : P : Q R : ST : V MXR NXS :: P × T : Q × V. MxQ = NxP RxV = SxT , we shall have MxQxRxV = NxPxSxT MXRxQxV = N × S × P × T MXR NXS :: PXT : Q × V. • We 1 BOOK III . THE

MN : P : Q R : ST : V MXR NXS :: P × T : Q × V. MxQ = NxP RxV = SxT , we shall have MxQxRxV = NxPxSxT MXRxQxV = N × S × P × T MXR NXS :: PXT : Q × V. • We 1 BOOK III . THE

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

THE

THE

**CIRCLE**, AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a**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 ... Page 42

The

The

**circle**is then said to circumscribe such a figure . 7. A secant is a line which meets the circumference in two points , and lies partly within and partly without the**circle**. AB is a secant . 8. A tangent is a line which has but one ...### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole