Elements of Geometry and Trigonometry |
From inside the book
Page 9
The extremities of a line are called points : a point , therefore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one point to another . 4.
The extremities of a line are called points : a point , therefore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one point to another . 4.
Page 18
Let any point , as O , be taken within the triangle BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC . PROPOSITION VIII . THEOREM . If from any point within a triangle ...
Let any point , as O , be taken within the triangle BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC . PROPOSITION VIII . THEOREM . If from any point within a triangle ...
Page 23
... of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular , will be unequally distant from those extremities . Let AB be the given straight line , C the BOOK I. 23.
... of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular , will be unequally distant from those extremities . Let AB be the given straight line , C the BOOK I. 23.
Page 24
Therefore every point in the perpendicular is equally distant from the extremities A and B. E Secondly , Let I be a point out of the perpendicular . If IA and IB be drawn , one of these lines will cut the perpendicular in D ; from which ...
Therefore every point in the perpendicular is equally distant from the extremities A and B. E Secondly , Let I be a point out of the perpendicular . If IA and IB be drawn , one of these lines will cut the perpendicular in D ; from which ...
Page 41
The chord , or subtense of an arc , is the straight line FG , which joins its two extremities . † 4. A segment is the surface or portion of a circle , included between an arc and its chord . 5.
The chord , or subtense of an arc , is the straight line FG , which joins its two extremities . † 4. A segment is the surface or portion of a circle , included between an arc and its chord . 5.
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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 |