Elements of Geometry and Trigonometry |
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Page 4
The proposition in Book V. , which proves that a polygon and circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia .
The proposition in Book V. , which proves that a polygon and circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia .
Page 5
Ratios and Proportions , BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . Planes and Solid Angles , Polyedrons , 400mm The Proportions of Figures and the Measurement of ...
Ratios and Proportions , BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . Planes and Solid Angles , Polyedrons , 400mm The Proportions of Figures and the Measurement of ...
Page 7
SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Book I. Prop . Cor . of Cor . 1 . & 2 . ~ 4 Prop . 5 Legendre . Book I. 5 11 5 Cor . of 11 6 12 8 10 13 14 ...
SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Book I. Prop . Cor . of Cor . 1 . & 2 . ~ 4 Prop . 5 Legendre . Book I. 5 11 5 Cor . of 11 6 12 8 10 13 14 ...
Page 17
... converse of this proposition is also true , namely , that two triangles which have all the parts of the one equal to the parts of the other , each B * to each , are equal ; for they may be BOOK I. 17.
... converse of this proposition is also true , namely , that two triangles which have all the parts of the one equal to the parts of the other , each B * to each , are equal ; for they may be BOOK I. 17.
Page 33
... and are therefore equal : whence it follows that the angles AEB , BEC , are equal , and therefore , that the two diagonals of a rhombus cut each other at right angles . BOOK II . OF RATIOS AND PROPORTIONS . Definitions . BOOK I. 33.
... and are therefore equal : whence it follows that the angles AEB , BEC , are equal , and therefore , that the two diagonals of a rhombus cut each other at right angles . BOOK II . OF RATIOS AND PROPORTIONS . Definitions . BOOK I. 33.
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry DAVIES' COURSE OF MATHEMATICS |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Publisher | A.S. Barnes and Company, 1839 |
| Original from | Harvard University |
| Digitized | 14 Jan 2008 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |