## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 100

Page 4

Very considerable alterations have also been made in the manner of treating the subjects of

Very considerable alterations have also been made in the manner of treating the subjects of

**Plane**and Spherical Trigonometry . It has also been thought best to publish with the present edition a table of logarithms and logarithmic sines ... Page 5

**Planes**and Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 BOOK IX . Of Spherical Triangles and Spherical Polygons , 186 · APPENDIX . The regular Polyedrons , 205**PLANE**TRIGONOMETRY . Page 6

**PLANE**TRIGONOMETRY . Division of the Circumference , 207 General Ideas relating to the Trigonometrical Lines , 208 Theorems and Formulas relating to the Sines , Cosines , Tan- gents , & c . · 215 Construction and Description of the ... Page 9

5. A surface is that which has length and breadth , without height or thickness . 6. A

5. A surface is that which has length and breadth , without height or thickness . 6. A

**plane**is a surface , in which , if two points be assumed at pleasure , and connected by a straight line , that line will lie wholly in the surface . Page 10

Two lines are said to be parallel , when being situated in the same

Two lines are said to be parallel , when being situated in the same

**plane**, they cannot meet , how far soever , either way , both of them be produced . 13. A**plane**figure is a**plane**terminated on all sides by lines .### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

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