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
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 , - Problems relating to the Fourth ...
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 , - Problems relating to the Fourth ...
Page 40
... the products of the corresponding terms will be proportional . MxQ = NxP RXV = SXT , we shall have MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT M × R : N × S :: P × T : Q × V. since BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 40 GEOMETRY .
... the products of the corresponding terms will be proportional . MxQ = NxP RXV = SXT , we shall have MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT M × R : N × S :: P × T : Q × V. since BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 40 GEOMETRY .
Page 41
THE CIRCLE , AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a circle is a curved line , all the points of which are equally distant from a point within , called the centre . F H The circle is the space terminated ...
THE CIRCLE , AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a circle is a curved line , all the points of which are equally distant from a point within , called the centre . F H The circle is the space terminated ...
Page 42
The circle is then said to circumscribe such a figure . 7. A secant is a line which meets the circumference in two points , and lies partly within and partly without the circle . AB is a secant . 8. A tangent is a line which has but one ...
The circle is then said to circumscribe such a figure . 7. A secant is a line which meets the circumference in two points , and lies partly within and partly without the circle . AB is a secant . 8. A tangent is a line which has but one ...
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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 |