Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 45
Page 41
Every straight line , CA , CE , CD , drawn from the centre to the circumference , is called a radius or semidiameter ; every line which , like AB , passes through the centre , and is terminated on both sides by the circumference ...
Every straight line , CA , CE , CD , drawn from the centre to the circumference , is called a radius or semidiameter ; every line which , like AB , passes through the centre , and is terminated on both sides by the circumference ...
Page 45
But two points are sufficient to determine the position of a straight line ; hence every straight line which passes through two of the points just mentioned , will necessarily pass through the third , and be perpendicular to the chord .
But two points are sufficient to determine the position of a straight line ; hence every straight line which passes through two of the points just mentioned , will necessarily pass through the third , and be perpendicular to the chord .
Page 46
Through three given points not in the same straight line , one circumference may always be made to pass , and but one . Let A , B , and C , be the given points . Draw AB , BC , and bisect these straight lines by the perpendiculars DE ...
Through three given points not in the same straight line , one circumference may always be made to pass , and but one . Let A , B , and C , be the given points . Draw AB , BC , and bisect these straight lines by the perpendiculars DE ...
Page 49
If two circles cut each other in two points , the line which passes through their centres , will be perpendicular to ... Now if a perpendicular be erected from the middle of this chord , it will pass through each of the two centres C ...
If two circles cut each other in two points , the line which passes through their centres , will be perpendicular to ... Now if a perpendicular be erected from the middle of this chord , it will pass through each of the two centres C ...
Page 50
All circles which have their centres on the right line AD . and which pass through the point A , are tangent to each other . For , they have only the point A common , and if through the point A , AE be drawn perpendicular to AD ...
All circles which have their centres on the right line AD . and which pass through the point A , are tangent to each other . For , they have only the point A common , and if through the point A , AE be drawn perpendicular to AD ...
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 |