Elements of Geometry and Trigonometry |
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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 9
GEOMETRY is the science which has for its object the measurement of extension . Extension has three dimensions , length , breadth , and height , or thickness . 2. A line is length without breadth , or thickness .
GEOMETRY is the science which has for its object the measurement of extension . Extension has three dimensions , length , breadth , and height , or thickness . 2. A line is length without breadth , or thickness .
Page 34
If the second magnitude do not contain the measuring unit an exact number of times , there may perhaps be a smaller unit which will be contained an exact number of times in each of the magnitudes . But if there is no unit of an ...
If the second magnitude do not contain the measuring unit an exact number of times , there may perhaps be a smaller unit which will be contained an exact number of times in each of the magnitudes . But if there is no unit of an ...
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 ...
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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 |