## Elements of Geometry and Trigonometry |

### From inside the book

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**inscribed**in a circle , when its extremities are in the cir- cumference , as AB . An**inscribed**angle is one which , like BAC , has its vertex in the circumference , and is formed by two chords . B * Note . In common language , the ... Page 42

Adrien Marie Legendre Charles Davies. An

Adrien Marie Legendre Charles Davies. An

**inscribed**triangle is one which , like BAC , has its three angular points in the circumference . And , generally , an**inscribed**figure is one , of which all the angles have their vertices in the ... Page 43

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**inscribed**in a circle is its diameter . PROPOSITION III . THEOREM . A straight line cannot meet the circumference of a circle in more than two points . For , if it could meet it in three , those three points would be equally distant ... Page 54

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**inscribed**angle is measured by half the arc included between its sides . Let BAD be an**inscribed**angle , and let us first suppose that the centre of the cir- cle lies within the angle BAD . Draw the diameter AE , and the radii CB , CD ... Page 55

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**inscribed**in the same segment are equal ; because they are all measured by the half of the same arc BOC . B Cor . 2. Every angle BAD ,**inscribed**in a semicircle is a right angle ; because it is mea- sured by half the semicircumference ...### 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