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Page iii
... work , under the title of an Introduction . The parts onitted in the first edition of this translation on spherical isoperimetrical polygons , and on the regular poly- L513 1300 485457 234126 edrons , are inserted in this , at the end.
... work , under the title of an Introduction . The parts onitted in the first edition of this translation on 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 we have thought it proper to consider so much of it as may form an intro- duction to spherical trigonometry . The ...
... sphere and spherical triangles . This treatise does not ordina- rily make a part of the elements of geometry ; still we have thought it proper to consider so much of it as may form an intro- duction to spherical trigonometry . The ...
Page 156
... , be the solidities of two similar polyedrons , A and a , two homologous sides , or diagonals of the polyedrons , we shall have P : p :: A3 : a3 . SECTION THIRD . Of the Sphere . DEFINITIONS . 437. 156 Elements of Geometry .
... , be the solidities of two similar polyedrons , A and a , two homologous sides , or diagonals of the polyedrons , we shall have P : p :: A3 : a3 . SECTION THIRD . Of the Sphere . DEFINITIONS . 437. 156 Elements of Geometry .
Page 157
... sphere is a solid terminated by a curved surface , all the points of which are equally distant from a point within called the centre . The sphere may be conceived to be generated by the revo ... spherical polygon is a Of the Sphere . 157.
... sphere is a solid terminated by a curved surface , all the points of which are equally distant from a point within called the centre . The sphere may be conceived to be generated by the revo ... spherical polygon is a Of the Sphere . 157.
Page 158
... spherical wedge the part of a sphere com- prehended between the halves of two great circles , and to which the lunary surface answers as a base . 447. A spherical pyramid is the part of a sphere comprehended between the planes of a ...
... spherical wedge the part of a sphere com- prehended between the halves of two great circles , and to which the lunary surface answers as a base . 447. A spherical pyramid is the part of a sphere comprehended between the planes of a ...
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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