Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 33
Page 9
The extremities of a line are called points : a point , there- fore , 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 , there- fore , 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
If from any point within a triangle , two straight lines be drawn to the extremities of either side , their sum will be less than the sum of the two other sides of the triangle . Let any point , as O , be taken within the trian- gle BAC ...
If from any point within a triangle , two straight lines be drawn to the extremities of either side , their sum will be less than the sum of the two other sides of the triangle . Let any point , as O , be taken within the trian- gle BAC ...
Page 23
... of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular , will be unequally dis- tant from those extremities . A Let AB be the given straight line , C 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 dis- tant from those extremities . A Let AB be the given straight line , C BOOK I. 23.
Page 24
Therefore every point in the perpendicular is equally distant from the extremities A and B. E B Secondly , Let I be a point out of the perpen- dicular . If IA and IB be drawn , one of these lines will cut the perpendicular in D ...
Therefore every point in the perpendicular is equally distant from the extremities A and B. E B Secondly , Let I be a point out of the perpen- dicular . If IA and IB be drawn , one of these lines will cut the perpendicular in D ...
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. A sector is the part of the circle ...
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. A sector is the part of the circle ...
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 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 |