## Elements of Geometry and Trigonometry |

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Page 5

The Circle and 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 9

GEOMETRY is the science which has for its object the

GEOMETRY is the science which has for its object the

**measurement**of extension . Extension has three dimensions , length , breadth , and height , or thickness . 2. A line is length without breadth , or thickness . Page 34

If the second magnitude do not contain the

If the second magnitude do not contain the

**measuring**unit an exact number of times , there may perhaps be a smaller unit ... It is plain , however , that the unit of**measure**, repeated as many times as it is contained in the second ... 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 CIRCLE , AND 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 CIRCLE , AND 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 ...### 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