## Elements of Geometry |

### From inside the book

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**circle**is a curved line all the points of which are equally distant from a point within called the centre . The ...**inscribed**in a**circle**, when its Fig . 47. extremities are in the circumference of the**circle**, as AB ( fig . 47 ) . An ... Page 23

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**circle**. case , the**circle**is said to be circumscribed about the figure . 96. A secant is a line , which meets the ...**inscribed**in the polygon . 60 . . THEOREM . 98. Every diameter AB ( fig . 49 ) bisects the**circle**and its cir- Fig ... Page 32

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**circle**and the arc intercepted between its sides have such a connexion , that when one increases or diminishes in ...**inscribed**angle BAD ( 32 Elements of Geometry . Page 33

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**circle**is situated in the angle BAD ( fig . 64 ) ; we Fig . 64 . draw the diameter AE , and the radii CB , CD . The ...**inscribed**angle has for its measure the half of the arc comprehended between its sides . 127. Corollary 1. All the ... Page 39

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**circle**or in the given arc ; join AB and BC , and bisect them by the perpendiculars DE , FG ; the point O , in which ...**inscribed**in a semicircle is a right angle ( 128 ) ; therefore AB , being a perpendicular at the extremity of the ...### 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