Elements of Geometry and Trigonometry |
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Page 9
The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. ... Every line which is not straight , or composed of straight lines , is a curved line .
The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. ... Every line which is not straight , or composed of straight lines , is a curved line .
Page 10
When two straight lines , AB , AC , meet each other , their inclination or opening is call- ed an angle , which is greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle ...
When two straight lines , AB , AC , meet each other , their inclination or opening is call- ed an angle , which is greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle ...
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 14
If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two ...
If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two ...
Page 15
pose , however , that on being produced , these lines begin to separate at C , the one becoming CD , the other CE . From the point C draw the line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle ...
pose , however , that on being produced , these lines begin to separate at C , the one becoming CD , the other CE . From the point C draw the line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle ...
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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 |