## Elements of Geometry |

### From inside the book

Results 1-5 of 47

Page iii

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**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

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**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 154

... , p , be the solidities of two similar polyedrons , A and a , two homologous sides , or diagonals of the polyedrons , we shall have Pp :: A3 ; a3 . SECTION THIRD . Of the

... , p , be the solidities of two similar polyedrons , A and a , two homologous sides , or diagonals of the polyedrons , we shall have Pp :: A3 ; a3 . SECTION THIRD . Of the

**Sphere**. DEFINITIONS . 437. 154 Elements of Geometry . Page 155

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**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**. 155. Page 156

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**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 ...### Other editions - View all

### 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