Elements of Geometry and Trigonometry |
From inside the book
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 , 400mm The Proportions of Figures and the Measurement of Areas , - Problems relating to the ...
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 Areas , - Problems relating to the ...
Page 40
MN : P : Q R : ST : V MXR NXS :: P × T : Q × V. MxQ = NxP RxV = SxT , we shall have MxQxRxV = NxPxSxT MXRxQxV = N × S × P × T MXR NXS :: PXT : Q × V. • We 1 BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 40 GEOMETRY .
MN : P : Q R : ST : V MXR NXS :: P × T : Q × V. MxQ = NxP RxV = SxT , we shall have MxQxRxV = NxPxSxT MXRxQxV = N × S × P × T MXR NXS :: PXT : Q × V. • We 1 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 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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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 |