Elements of Geometry and Trigonometry |
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Page 4
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 ...
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 .
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 ...
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 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 .
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 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 .
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 .
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |
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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