Elements of Geometry |
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Page vi
... angles by the arcs of a circle . These two sections are followed by the resolution of certain problems relating to ... right - angled triangle , those of equiangular triangles , of similar figures , & c . We shall be found fault vi Preface .
... angles by the arcs of a circle . These two sections are followed by the resolution of certain problems relating to ... right - angled triangle , those of equiangular triangles , of similar figures , & c . We shall be found fault vi Preface .
Page 1
... right line is the shortest way from one point to another . 4. Every line which is neither a straight line , nor ... Angles , like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ...
... right line is the shortest way from one point to another . 4. Every line which is neither a straight line , nor ... Angles , like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ...
Page 2
... angles DCE , BCE . Fig . 3 . Fig . 4 . Fig . 5 . Fig . 6 . Fig . 7 . Fig . 8 . Fig . 9 . 10. When a straight line AB ... right angle is called the hypothenuse . Fig . 10. Thus ABC ( fig . 10 ) is a triangle right - angled at A , and the ...
... angles DCE , BCE . Fig . 3 . Fig . 4 . Fig . 5 . Fig . 6 . Fig . 7 . Fig . 8 . Fig . 9 . 10. When a straight line AB ... right angle is called the hypothenuse . Fig . 10. Thus ABC ( fig . 10 ) is a triangle right - angled at A , and the ...
Page 4
... right angles are equal . Demonstration . Let the straight line CD be perpendicular to Fig . 16. AB ( fig . 16 ) , and GH to EF , the angles ACD , EGH , will be equal . Take the four distances CA , CB , GE , GF , equal to each other ...
... right angles are equal . Demonstration . Let the straight line CD be perpendicular to Fig . 16. AB ( fig . 16 ) , and GH to EF , the angles ACD , EGH , will be equal . Take the four distances CA , CB , GE , GF , equal to each other ...
Page 5
... angle ACD is equal to its adjacent angle DCB , and that they are both right angles . But , since the angle ACD is a right angle , it fol- lows that its adjacent angle ACE is also a right angle ; therefore the angle ACE = ACD , and AB is ...
... angle ACD is equal to its adjacent angle DCB , and that they are both right angles . But , since the angle ACD is a right angle , it fol- lows that its adjacent angle ACE is also a right angle ; therefore the angle ACE = ACD , and AB is ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids 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 |