Elements of Geometry and Trigonometry |
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Page 6
215 Construction and Description of the Tables , 223 Description of Table of Logarithms , - 224 Description of Table of Logarithmic Sines , 228 Principles for the Solution of Rectilineal Triangles , 231 Solution of Rectilineal Triangles ...
215 Construction and Description of the Tables , 223 Description of Table of Logarithms , - 224 Description of Table of Logarithmic Sines , 228 Principles for the Solution of Rectilineal Triangles , 231 Solution of Rectilineal Triangles ...
Page 11
An equilateral triangle is one which has its three sides equal ; an isosceles triangle , one which has two of its sides equal ; a scalene triangle , one which has its three sides unequal . 16. A right - angled triangle is one which has ...
An equilateral triangle is one which has its three sides equal ; an isosceles triangle , one which has two of its sides equal ; a scalene triangle , one which has its three sides unequal . 16. A right - angled triangle is one which has ...
Page 16
F F If two triangles have two sides and the included angle of the one , equal to two sides and the included angle of ... Let the triangle EDF , be placed upon the triangle BAC , so that the point E shall fall upon B , and the side ED on ...
F F If two triangles have two sides and the included angle of the one , equal to two sides and the included angle of ... Let the triangle EDF , be placed upon the triangle BAC , so that the point E shall fall upon B , and the side ED on ...
Page 17
therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BĂ , the side DF - AC , and the angle D = A , the remaining three are also ...
therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BĂ , the side DF - AC , and the angle D = A , the remaining three are also ...
Page 18
The sum of any two sides of a triangle , is greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For , the line AB is the shortest dis- tance ...
The sum of any two sides of a triangle , is greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For , the line AB is the shortest dis- tance ...
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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 |