## Elements of Geometry and Trigonometry |

### From inside the book

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**circumscribe**such a figure . 7. A secant is a line which meets the circum- ference in two points , and lies ...**circumscribed**about a circle , when all its sides are tangents to the circumference : in the same case , the circle ... Page 96

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**circumscribed**circle ; then will AB.AC AD.CE. For , drawing AE , the triangles ABD , AEC , are right angled , the one at D , the E other at A : also the angle B = E ; these tri- angles are therefore similar , and they give the ... Page 110

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**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 to the extremities of the same side AB . Since all the ... Page 114

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**circumscribe**a sim- ilar polygon about the same circle . Let CBAFED be a regular polygon . At T , the middle ...**circumscribed**polygon GHIK & c . were given , and the inscribed one ABC & c . were re- quired to be deduced from it ... Page 115

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**circumscribed**one . Cor . 2. Hence we may**circumscribe**about a circle any regular polygon , which can be inscribed ...**circumscribed**polygon being given , it is required to**circumscribe**the circle by another regular polygon having ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex