Elements of Geometry |
From inside the book
Results 1-5 of 11
Page iii
... spherical isoperimetrical polygons , and on the regular poly- L513 1300 485457 234126 edrons , are inserted in this , at the end.
... spherical isoperimetrical polygons , and on the regular poly- L513 1300 485457 234126 edrons , are inserted in this , at the end.
Page vii
... sphere and spherical triangles . This treatise does not ordina- rily make a part of the elements of geometry ; still ... polygons ; and an appendix to the second and third sections of this part on the regular polyedrons . INTRODUCTION ...
... sphere and spherical triangles . This treatise does not ordina- rily make a part of the elements of geometry ; still ... polygons ; and an appendix to the second and third sections of this part on the regular polyedrons . INTRODUCTION ...
Page 176
... spheres , and these solid angles will be to each other as the spherical polygons intercepted between their planes or faces . The angle at the vertex of the pyramid , whose base is a trian- gle of three right angles , is formed by three ...
... spheres , and these solid angles will be to each other as the spherical polygons intercepted between their planes or faces . The angle at the vertex of the pyramid , whose base is a trian- gle of three right angles , is formed by three ...
Page 191
... sphere is equal to this circumference multi- plied by the diameter ; therefore the lunary surface is equal to the arc , which measures the angle of this surface , multiplied by the diameter . In the second place , every spherical triangle ...
... sphere is equal to this circumference multi- plied by the diameter ; therefore the lunary surface is equal to the arc , which measures the angle of this surface , multiplied by the diameter . In the second place , every spherical triangle ...
Page 201
... shall find their sum , or the surface of the sphere , represented by 8 , to be equal to the sum of all the angles of the GEOM . 26 polygons , minus twice the number of their sides , Of Spherical Isoperimetrical Polygons . 201.
... shall find their sum , or the surface of the sphere , represented by 8 , to be equal to the sum of all the angles of the GEOM . 26 polygons , minus twice the number of their sides , Of Spherical Isoperimetrical Polygons . 201.
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