Elements of Geometry |
From inside the book
Results 1-5 of 60
Page vi
... plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the prop- erties 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 prop- erties 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 , DEF , greater than a right angle , is an obtuse angle . 12. Two lines are said to be parallel ( fig . 5 ) , when , being situated in the same plane , and produced ever so far both ways , they do not meet . 13. A plane figure is a ...
... angle , DEF , greater than a right angle , is an obtuse angle . 12. Two lines are said to be parallel ( fig . 5 ) , when , being situated in the same plane , and produced ever so far both ways , they do not meet . 13. A plane figure is a ...
Page 3
... angles not adjacent , as AC ( fig . 42 ) . 19. An equilateral polygon is one which has all its sides equal ; an ... PLANE FIGURES . SECTION FIRST . Axioms . 3.
... angles not adjacent , as AC ( fig . 42 ) . 19. An equilateral polygon is one which has all its sides equal ; an ... PLANE FIGURES . SECTION FIRST . Axioms . 3.
Page 4
Adrien Marie Legendre. PART FIRST . OF PLANE FIGURES . SECTION FIRST . First Principles , or the Properties of Perpendicular , Oblique , and Parallel Lines . THEOREM . 27. ALL right angles ... angle EGH = HGF , it follows that Fig . 17 . But ...
Adrien Marie Legendre. PART FIRST . OF PLANE FIGURES . SECTION FIRST . First Principles , or the Properties of Perpendicular , Oblique , and Parallel Lines . THEOREM . 27. ALL right angles ... angle EGH = HGF , it follows that Fig . 17 . But ...
Other editions - View all
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 |