Elements of Geometry and Trigonometry |
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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 Circumference , General Ideas.
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 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 ...
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 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.
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 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
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 ...
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 ...
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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
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 | Harvard University |
| Digitized | 9 Dec 2008 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |