## Elements of Geometry |

### From inside the book

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**circumscribed**about the figure . 96. A secant is a line , which meets the circumference in two points , as AB ( fig . 48 ) . 97. A tangent is a line , which has only one point in common with the circumference , as CD . The common point ... Page 69

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**circumscribed**circle and the perpendicular AD , let fall upon the third side BC . Demonstration . Join AE , and the triangles ABD , AEC , are right - angled , the one at D , and the other at A ; moreover the angle BE ; consequently the ... Page 82

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**circumscribed**about a circle . Demonstration . Let ABCDE , & c . ( fig . 156 ) , be any regu- lar polygon , and let there be described a circle , whose circum- ference shall pass through the three points A , B , C ; let O be its centre ... Page 83

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**circumscribed**about the circle . 267. Scholium 1. The point O , the common centre of the inscribed and**circumscribed**circle , may be regarded also as the centre of the polygon ; and for this reason we call the angle of the centre the ... Page 86

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**circumscribed**polygon GHIK , & c . , similar to the inscribed polygon . It will be readily perceived , in the first place , that the three points O , B , H , are in a right line , for the right - angled triangles OTH , OHN , have the ...### 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