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 , The Proportions of Figures and the Measurement of Areas ...
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 , The Proportions of Figures and the Measurement of Areas ...
Page 7
SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Legendre . Book I. Book I. 4 Prop . 5 Prop . Cor . of 5 11 5 Cor . of 11 6 12 8 10 13 1 14 3 15 4 4 16 Cor ...
SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Legendre . Book I. Book I. 4 Prop . 5 Prop . Cor . of 5 11 5 Cor . of 11 6 12 8 10 13 1 14 3 15 4 4 16 Cor ...
Page 11
20. Two polygons are mutually equilateral , when they have their sides equal each to each , and placed in the same order ; that is to say , when following their perimeters in BOOK I. 11.
20. Two polygons are mutually equilateral , when they have their sides equal each to each , and placed in the same order ; that is to say , when following their perimeters in BOOK I. 11.
Page 19
... have the three sides of the one equal to the three sides of the other , each to each , the three angles will also be equal , each to each , and the triangles themselves will be equal . Let the side ED = BA , the side EF BOOK I. 19.
... have the three sides of the one equal to the three sides of the other , each to each , the three angles will also be equal , each to each , and the triangles themselves will be equal . Let the side ED = BA , the side EF BOOK I. 19.
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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 |