Elements of Geometry and Trigonometry |
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Page 4
The propo- sition in Book V. , which proves that a polygon and circle may be made to coincide sò nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia .
The propo- sition in Book V. , which proves that a polygon and circle may be made to coincide sò nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia .
Page 5
BOOK I. The principles , BOOK II . Ratios and Proportions , 34 BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas ...
BOOK I. The principles , BOOK II . Ratios and Proportions , 34 BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas ...
Page 7
AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Legendre . Euclid . Legendre . Euclid . Legendre . Book I. Book I. Cor.2 . of 32 Prop . 27 Prop .
AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Legendre . Euclid . Legendre . Euclid . Legendre . Book I. Book I. Cor.2 . of 32 Prop . 27 Prop .
Page 8
Adrien Marie Legendre Charles Davies. ) ELEMENTS OF GEOMETRY . BOOK I. THE PRINCIPLES . Definitions.
Adrien Marie Legendre Charles Davies. ) ELEMENTS OF GEOMETRY . BOOK I. THE PRINCIPLES . Definitions.
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 . 5 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 . 5 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 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 |