Elements of Geometry and Trigonometry |
From inside the book
Page 9
A straight line is the shortest distance from one point to another . 4. Every line which is not straight , or composed of straight lines , is a curved line . Thus , AB is a straight line ; ACDB is a broken line , or one composed of ...
A straight line is the shortest distance from one point to another . 4. Every line which is not straight , or composed of straight lines , is a curved line . Thus , AB is a straight line ; ACDB is a broken line , or one composed of ...
Page 13
... but this expression should not be employed , when there is any danger of confounding it with that of the line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the product of A ...
... but this expression should not be employed , when there is any danger of confounding it with that of the line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the product of A ...
Page 18
For the straight line AB is the shortest distance between the points A and B ( Def . 3. ) ; hence AC + CB is greater A. than AB . Let any point , as O , be taken within the triangle BAC , and let the lines OB , OC , be drawn to the ...
For the straight line AB is the shortest distance between the points A and B ( Def . 3. ) ; hence AC + CB is greater A. than AB . Let any point , as O , be taken within the triangle BAC , and let the lines OB , OC , be drawn to the ...
Page 22
2d , Any two oblique lines , drawn on different sides of the perpendicular , cutting off equal distances on the other line , will be equal . 3d , Of two oblique lines , drawn at pleasure , that which is farther from the perpendicular ...
2d , Any two oblique lines , drawn on different sides of the perpendicular , cutting off equal distances on the other line , will be equal . 3d , Of two oblique lines , drawn at pleasure , that which is farther from the perpendicular ...
Page 23
The perpendicular measures the shortest distance of a point from a line . Cor . 2. From the same point to the same straight line , only two equal straight lines can be drawn ; for , if there could be more , we should have at least two ...
The perpendicular measures the shortest distance of a point from a line . Cor . 2. From the same point to the same straight line , only two equal straight lines can be drawn ; for , if there could be more , we should have at least two ...
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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 |