Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 30
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 10
When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of those angles is called a right angle ; and the line AB is said to be perpendicular to CD . 11.
When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of those angles is called a right angle ; and the line AB is said to be perpendicular to CD . 11.
Page 11
The side opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B ЈА 17. Among the quadrilaterals , we distinguish : The square , which has its sides ...
The side opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B ЈА 17. Among the quadrilaterals , we distinguish : The square , which has its sides ...
Page 12
A theorem is a truth , which becomes evident by means of a train of reasoning called a demonstration . A problem is a question proposed , which requires a solu- tion . A lemma is a subsidiary truth , employed for the demonstra- tion of ...
A theorem is a truth , which becomes evident by means of a train of reasoning called a demonstration . A problem is a question proposed , which requires a solu- tion . A lemma is a subsidiary truth , employed for the demonstra- tion of ...
Page 35
To indicate that the ratio of A to B is equal to the ratio of C to D , the quantities are usually written thus , A : B :: C : D , and read , A is to B as C is to D. The quantities which are compared together are called the terms of the ...
To indicate that the ratio of A to B is equal to the ratio of C to D , the quantities are usually written thus , A : B :: C : D , and read , A is to B as C is to D. The quantities which are compared together are called the terms of the ...
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 |