## Elements of Geometry and Trigonometry |

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Page 42

The circle is then said to

The circle is then said to

**circumscribe**such a figure . 7. ... A polygon is**circumscribed**about a circle , when all its sides are tangents to the circumference : in the same case , the circle is said to be inscribed in the po- lygon . Page 96

In the triangle ABC , let AD be drawn perpendicular to BC ; and let EC be the diameter of the

In the triangle ABC , let AD be drawn perpendicular to BC ; and let EC be the diameter of the

**circumscribed**circle ; then will AB.ACAD.CE. For , drawing AE , the triangles ABD , AEC , are right angled , the one at D , the E other at A ... Page 110

The point O , the common centre of the in- scribed and

The point O , the common centre of the in- scribed and

**circumscribed**circles , may also be regarded as the centre of the polygon ; and upon this principle the angle AOB is called the angle at the centre , being formed by two radii drawn ... Page 114

A regular inscribed polygon being given , to

A regular inscribed polygon being given , to

**circumscribe**a sim- ilar polygon about the same circle . ... these tangents , I by their intersections , will form the regular**circumscribed**polygon GHIK & c . similar to the one inscribed . Page 115

Hence we may

Hence we may

**circumscribe**about a circle any regular polygon , which can be inscribed within it , and con- versely . Cor . ... A circle and regular**circumscribed**polygon being given , it is required to**circumscribe**the circle by another ...### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole