## Elements of Geometry and Trigonometry |

### From inside the book

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Page 5

The regular Polyedrons , BOOK VII . BOOK VIII . BOOK IX . Of Spherical Triangles and Spherical Polygons , APPENDIX . 34 41 57 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 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 , Tangents , & 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 . F H The circle is the space terminated by A this curved line . * 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

D A straight line cannot meet the

D A straight line cannot meet the

**circumference**of a circle in more than two points . PROPOSITION IV . THEOREM . For , if it could meet it in three , those three points would be equally distant from the centre ; and hence , there would ...### 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 produced 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