Elements of Geometry |
From inside the book
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Page 1
... vertex of the angle ; the lines AB , AC , are its sides . An angle is sometimes denoted simply by the letter at the vertex , as A ; sometimes by three letters , as BAC , or CAB , the letter at the vertex always occupying the middle ...
... vertex of the angle ; the lines AB , AC , are its sides . An angle is sometimes denoted simply by the letter at the vertex , as A ; sometimes by three letters , as BAC , or CAB , the letter at the vertex always occupying the middle ...
Page 2
... ) , which has its sides equal without having its angles right angles ; The trapezoid ( fig . 15 ) , which has two only of its sides parallel . 1 } t 18. A diagonal is a line which joins the vertices 2 Elements of Geometry .
... ) , which has its sides equal without having its angles right angles ; The trapezoid ( fig . 15 ) , which has two only of its sides parallel . 1 } t 18. A diagonal is a line which joins the vertices 2 Elements of Geometry .
Page 3
Adrien Marie Legendre. 18. A diagonal is a line which joins the vertices of two angles not adjacent , as AC ( fig . 42 ) . 19. An equilateral polygon is one which has all its sides equal ; an equiangular polygon is one which has all its ...
Adrien Marie Legendre. 18. A diagonal is a line which joins the vertices of two angles not adjacent , as AC ( fig . 42 ) . 19. An equilateral polygon is one which has all its sides equal ; an equiangular polygon is one which has all its ...
Page 6
... vertex are equal . Demonstration . Since DE is a straight line , the sum of the angles ACD , ACE , is equal to two right angles ; and , since AB is a straight line , the sum of the angles ACE , BCE , is equal to two right angles ...
... vertex are equal . Demonstration . Since DE is a straight line , the sum of the angles ACD , ACE , is equal to two right angles ; and , since AB is a straight line , the sum of the angles ACE , BCE , is equal to two right angles ...
Page 9
... vertex A to the point D the middle of the base BC ; the two triangles ABD , ADC , will have the three sides of the one , equal to the three sides of the other , each to each , namely , AD common to both , AB = AC , by hypothesis , and ...
... vertex A to the point D the middle of the base BC ; the two triangles ABD , ADC , will have the three sides of the one , equal to the three sides of the other , each to each , namely , AD common to both , AB = AC , by hypothesis , and ...
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Common terms and phrases
ABC fig ABCD adjacent altitude angle ACB applied base called centre chord circ circle circumference circumscribed common cone consequently considered construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces figure follows formed four give given greater half hence homologous sides inclination inscribed 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 proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment sides similar solid angle Solution sphere spherical square straight line suppose surface taken THEOREM third triangle ABC triangular pyramids vertex vertices whence
Bibliographic information
| Title | Elements of Geometry |
| Author | Adrien Marie Legendre |
| Edition | 2 |
| Publisher | Hilliard and Metcalf, 1825 |
| Original from | the University of Virginia |
| Digitized | 29 Oct 2010 |
| Length | 224 pages |
| Export Citation | BiBTeX EndNote RefMan |