Elements of Geometry |
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Page vi
... plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet those of perpendiculars , the theorem upon the sum of the angles of a triangle ...
... plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet those of perpendiculars , the theorem upon the sum of the angles of a triangle ...
Page 1
... plane is a surface , in which any two points being taken , the straight line joining those points lies wholly in ... Angles , like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ...
... plane is a surface , in which any two points being taken , the straight line joining those points lies wholly in ... Angles , like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ...
Page 2
... angle BAC ( fig . 4 ) , less than a right angle , is an acute angle ; and every angle , DEF , greater than a right angle is an obtuse angle . Fig . 4 . Fig . 5 . 13. A plane figure is a plane terminated on all sides by lines . If the ...
... angle BAC ( fig . 4 ) , less than a right angle , is an acute angle ; and every angle , DEF , greater than a right angle is an obtuse angle . Fig . 4 . Fig . 5 . 13. A plane figure is a plane terminated on all sides by lines . If the ...
Page 3
... angles not adjacent , as AC ( fig . 42 ) . 19. An equilateral polygon is one which has all its sides equal ; an ... PLANE FIGURES Axioms . 3.
... angles not adjacent , as AC ( fig . 42 ) . 19. An equilateral polygon is one which has all its sides equal ; an ... PLANE FIGURES Axioms . 3.
Page 4
Adrien Marie Legendre. PART FIRST . Fig . 17 . OF PLANE FIGURES . SECTION FIRST . First Principles , or the Properties of perpendicular , oblique , and parallel Lines . 27. ALL right angles ... angle EGH = HGF , it follows that ACK = KCB .
Adrien Marie Legendre. PART FIRST . Fig . 17 . OF PLANE FIGURES . SECTION FIRST . First Principles , or the Properties of perpendicular , oblique , and parallel Lines . 27. ALL right angles ... angle EGH = HGF , it follows that ACK = KCB .
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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 |