## Elements of Geometry and Trigonometry |

### From inside the book

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Page 42

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**circumscribe**such a figure . 7. A secant is a line which meets the circum- ference in two points , and lies partly ...**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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**circumscribed**polygon GHIK & c . similar to the one inscribed . N P H T G B S K L M F R Since T is the middle point of the arc BTA , and N the mid- dle point of the equal arc BNC , it follows , that BT - BN ; or that the vertex B of the ... 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 double ...### Other editions - View all

### Common terms and phrases

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