## Elements of Geometry and Trigonometry |

### From inside the book

Page 5

The regular Polyedrons , BOOK VII . · BOOK VIII . BOOK IX . Of Spherical Triangles and Spherical Polygons , - APPENDIX . 34 41 57 88888 68 98 109 126 142 166 186 205 PLANE TRIGONOMETRY . Division of the

The regular Polyedrons , BOOK VII . · BOOK VIII . BOOK IX . Of Spherical Triangles and Spherical Polygons , - APPENDIX . 34 41 57 88888 68 98 109 126 142 166 186 205 PLANE TRIGONOMETRY . Division of the

**Circumference**, General Ideas. Page 6

Division of the

Division of the

**Circumference**, General Ideas relating to the Trigonometrical Lines , Theorems and Formulas relating to the Sines , Cosines , T'angents , & c . Construction and Description of the Tables , Description of Table of ... Page 41

The

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 this curved line . *酱 F H G 2. Page 42

An inscribed triangle is one which , like BAC , has its three angular points in the

An inscribed triangle is one which , like BAC , has its three angular points in the

**circumference**. And , generally , an inscribed figure is one , of which all the angles have their vertices in the**circumference**. Page 43

A straight line cannot meet the

A straight line cannot meet the

**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 ...### 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