Elements of Geometry and Trigonometry |
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Page 11
Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its an- gles right - angles . The rectangle , which has its angles right an- gles , without having its sides equal .
Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its an- gles right - angles . The rectangle , which has its angles right an- gles , without having its sides equal .
Page 13
A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the line AB is taken three times ; A signifies the half of the angle A. The square of the line AB is designated ...
A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the line AB is taken three times ; A signifies the half of the angle A. The square of the line AB is designated ...
Page 31
... each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , whère the four angles of a quadrilateral are asserted to be right angles , in the case of the rectangle and the square . Cor . 2.
... each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , whère the four angles of a quadrilateral are asserted to be right angles , in the case of the rectangle and the square . Cor . 2.
Page 36
the product of the extremes will be equal to the square of the mean . * PROPOSITION II . THEOREM . If the product of two quantities be equal to the product of two other quantities , two of them will be the extremes and the other two the ...
the product of the extremes will be equal to the square of the mean . * PROPOSITION II . THEOREM . If the product of two quantities be equal to the product of two other quantities , two of them will be the extremes and the other two the ...
Page 63
If the given angle is a right angle , the figure will be a rectangle ; if , in addition to this , the sides are equal , it will be a square . PROBLEM XIII . To find the centre of a given circle or arc .
If the given angle is a right angle , the figure will be a rectangle ; if , in addition to this , the sides are equal , it will be a square . PROBLEM XIII . To find the centre of a given circle or arc .
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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 |