Elements of Geometry and Trigonometry |
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Page 5
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 . Division of the Circumference , 207 General.
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 . Division of the Circumference , 207 General.
Page 6
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 Tables , 223 Description ...
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 Tables , 223 Description ...
Page 41
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 . * 2. Every straight line , CA , CE , CD ...
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 . * 2. Every straight line , CA , CE , CD ...
Page 42
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 .
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 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 ...
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 ...
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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
Bibliographic information
| Title | Elements of Geometry and Trigonometry |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Edition | 4 |
| Publisher | A.S. Barnes and Company, 1834 |
| Original from | the University of California |
| Digitized | 14 Oct 2010 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |