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 x
The third power is a product formed by the multiplication of three equal factors ; each of these factors is the cube root of this product ; 125 is the product of 5 multiplied twice by itself , or 5 X 5 X 5 ; and 5 is the cube root of ...
The third power is a product formed by the multiplication of three equal factors ; each of these factors is the cube root of this product ; 125 is the product of 5 multiplied twice by itself , or 5 X 5 X 5 ; and 5 is the cube root of ...
Page 5
... it follows that its adjacent angle ACE is also a right angle ; therefore the angle ACE = ACD , and AB is perpendicular to DE . , Ꭰ 31. Corollary III . All the successive angles , BAC , CAD , DAE , EAF , ( fig . 34 ) , formed on the ...
... it follows that its adjacent angle ACE is also a right angle ; therefore the angle ACE = ACD , and AB is perpendicular to DE . , Ꭰ 31. Corollary III . All the successive angles , BAC , CAD , DAE , EAF , ( fig . 34 ) , formed on the ...
Page 6
The four angles , formed about a point by two straight lines which cut each other , are together equal to four right angles ; for the angles ACE , BCE , taken together , are equal to two right angles ; also the other angles ACD ...
The four angles , formed about a point by two straight lines which cut each other , are together equal to four right angles ; for the angles ACE , BCE , taken together , are equal to two right angles ; also the other angles ACD ...
Page 24
An inscribed angle is one whose vertex is in the circumference , and which is formed by two chords , as BAC . 95. An inscribed triangle is a triangle whose three angles have their vertices in the circumference of the circle , as BAC . a ...
An inscribed angle is one whose vertex is in the circumference , and which is formed by two chords , as BAC . 95. An inscribed triangle is a triangle whose three angles have their vertices in the circumference of the circle , as BAC . a ...
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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 |