## Elements of Geometry and Trigonometry |

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Page 4

The propo- sition in Book V. , which proves that a polygon and

The propo- sition in Book V. , which proves that a polygon and

**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 . Page 5

The

The

**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 98 88888 68 BOOK V. Regular ... Page 40

... S : : T : V MXR NXS :: P × T : Q × V. MxQ = NxP RxV = SXT , we shall have MxQxRxV = NxPxSxT MxRxQxV = NxSxP × T M × R : N × S :: P × T : Q × V. BOOK III . THE

... S : : T : V MXR NXS :: P × T : Q × V. MxQ = NxP RxV = SXT , we shall have MxQxRxV = NxPxSxT MxRxQxV = NxSxP × T M × R : N × S :: P × T : Q × V. 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 circum- ference 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 ...### What people are saying - Write a review

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Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |

### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole