Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 66
Page 11
Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its angles right - angles . The rectangle , which has its angles right angles , without having its sides equal . The parallelogram , or rhomboid ...
Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its angles right - angles . The rectangle , which has its angles right angles , without having its sides equal . The parallelogram , or rhomboid ...
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 , where 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 , where 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 . E * E A La Scholium . The same construction serves for making a circumference pass through ...
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 . E * E A La Scholium . The same construction serves for making a circumference pass through ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
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 |