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
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 , - Problems relating to the Fourth Book , 41 57 98 88888 68 BOOK V. Regular ...
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 , - Problems relating to the Fourth Book , 41 57 98 88888 68 BOOK V. Regular ...
Page 40
... S : : T : V MXR NXS :: P × T : Q × V. MxQ = NxP RxV = SXT , we shall have MxQxRxV = NxPxSxT MxRxQxV = NxSxP × T M × R : N × S :: P × T : Q × V. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 40 GEOMETRY .
... S : : T : V MXR NXS :: P × T : Q × V. MxQ = NxP RxV = SXT , we shall have MxQxRxV = NxPxSxT MxRxQxV = NxSxP × T M × R : N × S :: P × T : Q × V. 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 . The circle is the space terminated by A ...
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 . The circle is the space terminated by A ...
Page 42
The circle is then said to circumscribe such a figure . 7. A secant is a line which meets the circum- ference 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 ...
The circle is then said to circumscribe such a figure . 7. A secant is a line which meets the circum- ference 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 ...
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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 |