Elements of Geometry |
From inside the book
Results 1-5 of 32
Page 2
... ( fig . 14 ) , which has its sides equal , without having its angles right angles ; The trapezoid ( fig . 15 ) , which has two only of its sides parallel . 18. A diagonal is a line which joins the vertices 2 Elements of Geometry .
... ( fig . 14 ) , which has its sides equal , without having its angles right angles ; The trapezoid ( fig . 15 ) , which has two only of its sides parallel . 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 16
... diagonals AC , AD , AE , & c . , it is evident , that the polygon will be divided into five triangles , if it have seven sides , and into six , if it have eight , and , in general , into as many triangles , wanting two , as the polygon ...
... diagonals AC , AD , AE , & c . , it is evident , that the polygon will be divided into five triangles , if it have seven sides , and into six , if it have eight , and , in general , into as many triangles , wanting two , as the polygon ...
Page 21
... diagonal BD ( fig . 44 ) ; the two Fig . 44 triangles ADB , DBC , have the side BD common ; moreover , on account of the parallels AD , BC , the angle ADB = DBC ( 76 ) , and on account of the parallels AB , CD , the angle ABD = BDC ...
... diagonal BD ( fig . 44 ) ; the two Fig . 44 triangles ADB , DBC , have the side BD common ; moreover , on account of the parallels AD , BC , the angle ADB = DBC ( 76 ) , and on account of the parallels AB , CD , the angle ABD = BDC ...
Page 22
... diagonal BD ; the two triangles ABD , BDC , have the three sides of the one equal to the three sides of the other ... diagonals AC , DB ( fig . 45 ) , of a parallelogram mutually bisect each other . Demonstration . If we compare the ...
... diagonal BD ; the two triangles ABD , BDC , have the three sides of the one equal to the three sides of the other ... diagonals AC , DB ( fig . 45 ) , of a parallelogram mutually bisect each other . Demonstration . If we compare the ...
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