Elements of Geometry |
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Page iii
... spherical isoperimetrical polygons , and on the regular poly- edrons , are inserted in this at the end of the fourth section of the second part . Also an improved demonstration of the theorem for the solidity retation Presented to.
... spherical isoperimetrical polygons , and on the regular poly- edrons , are inserted in this at the end of the fourth section of the second part . Also an improved demonstration of the theorem for the solidity retation Presented to.
Page vii
... polygons and of the meas- ure of the circle . Two lemmas are employed as the basis of this measure , which is otherwise demonstrated after the manner of Archimedes . We have then given two methods of approximation for squaring the ...
... polygons and of the meas- ure of the circle . Two lemmas are employed as the basis of this measure , which is otherwise demonstrated after the manner of Archimedes . We have then given two methods of approximation for squaring the ...
Page 2
... polygon ( fig . 6 ) , and the lines taken together make the perimeter of the polygon . Fig . 7 . 14. The polygon of three sides is the most simple of these figures , and is called a triangle ; that of four sides is called a ...
... polygon ( fig . 6 ) , and the lines taken together make the perimeter of the polygon . Fig . 7 . 14. The polygon of three sides is the most simple of these figures , and is called a triangle ; that of four sides is called a ...
Page 3
... polygon is one which has all its sides equal ; an equiangular polygon is one which has all its angles equal . 20. Two polygons are equilateral with respect to each other , when they have their sides equal , each to each , and placed in ...
... polygon is one which has all its sides equal ; an equiangular polygon is one which has all its angles equal . 20. Two polygons are equilateral with respect to each other , when they have their sides equal , each to each , and placed in ...
Page 19
... polygon ; if from the vertex of the angle A we draw to the ver- tices of the opposite angles the diagonals AC , AD , AE , & c . , it is evident , that the polygon will be divided into five triangles , if it have seven sides , and into ...
... polygon ; if from the vertex of the angle A we draw to the ver- tices of the opposite angles the diagonals AC , AD , AE , & c . , it is evident , that the polygon will be divided into five triangles , if it have seven sides , and into ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAD 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 and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence