## Elements of Geometry |

### From inside the book

Results 1-5 of 32

Page 23

...

...

**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 M ... Page 67

...

...

**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 80

...

...

**circumscribed**about a circle . Demonstration . Let ABCDE & c . ( fig . 156 ) , be any regular polygon , and let there be described a circle , whose circumference shall pass through the three points A , B , C ; let O be its centre , and ... Page 81

...

...

**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 84

...

...

**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 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