Elements of Geometry and Trigonometry |
From inside the book
Page 2
... EQUATIONS OF THE POINT AND STRAIGHT LINE -- of the CONIC SECTIONS of the LINE AND PLANE IN SPACE - also , the discussion of the GENERAL EQUATION of the second degree , and of SURFACES OF THE SECOND ORDER .
... EQUATIONS OF THE POINT AND STRAIGHT LINE -- of the CONIC SECTIONS of the LINE AND PLANE IN SPACE - also , the discussion of the GENERAL EQUATION of the second degree , and of SURFACES OF THE SECOND ORDER .
Page 9
The extremities of a line are called points : a point , therefore , 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 , therefore , 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 called 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 called 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 ... Through the same point , only one straight line can be drawn which shall be parallel to a given line .
A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the ... Through the same point , only one straight line can be drawn which shall be parallel to a given line .
Page 14
If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to ...
If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to ...
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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 |