Elements of Geometry |
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Page iii
As a knowledge of algebraical signs and the theory of proportions is necessary to the understanding of this treatise , a brief explanation of these , taken chiefly from Lacroix's geometry , and forming properly a supplement to this ...
As a knowledge of algebraical signs and the theory of proportions is necessary to the understanding of this treatise , a brief explanation of these , taken chiefly from Lacroix's geometry , and forming properly a supplement to this ...
Page xiv
... C , D , denote certain lines , we can always suppose one of these lines , or a fifth , if we please , to answer as a common measure to the whole , and to be taken for unity ; then A , B , C , D , will each represent a certain number ...
... C , D , denote certain lines , we can always suppose one of these lines , or a fifth , if we please , to answer as a common measure to the whole , and to be taken for unity ; then A , B , C , D , will each represent a certain number ...
Page 1
A plane is a surface in which , any two points being taken , the straight line joining those points lies wholly in that surface . 7. Every surface which is neither a plane , nor composed of planes , is a curved surface . 8.
A plane is a surface in which , any two points being taken , the straight line joining those points lies wholly in that surface . 7. Every surface which is neither a plane , nor composed of planes , is a curved surface . 8.
Page 2
6 ) , and the lines taken together make the perimeter of the polygon . 14. The polygon of three sides is the most simple of these figures , and is called a triangle ; that of four sides is called a quadrilateral ; that of five sides ...
6 ) , and the lines taken together make the perimeter of the polygon . 14. The polygon of three sides is the most simple of these figures , and is called a triangle ; that of four sides is called a quadrilateral ; that of five sides ...
Page 4
17 ) , which meets another straight line AB , makes with it two adjacent angles ACD , BCD , which , taken together , are equal to two right angles . Demonstration . At the point C , let CE be PART FIRST. ...
17 ) , which meets another straight line AB , makes with it two adjacent angles ACD , BCD , which , taken together , are equal to two right angles . Demonstration . At the point C , let CE be PART FIRST. ...
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Common terms and phrases
ABC fig ABCD adjacent altitude applied base called centre chord circ circle circumference circumscribed common cone consequently construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces feet figure follows formed four give given greater half hence inclination inscribed intersection isosceles join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles polyedron polygon prism PROBLEM produced proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment similar solid angle Solution sphere spherical square straight line suppose surface taken tangent THEOREM third triangle ABC vertex vertices whence
Bibliographic information
| Title | Elements of Geometry |
| Author | Adrien Marie Legendre |
| Translated by | John Farrar |
| Publisher | Hilliard, Gray, and Company, 1833 |
| Original from | University of Chicago |
| Digitized | 11 Apr 2012 |
| Length | 235 pages |
| Export Citation | BiBTeX EndNote RefMan |