## Elements of Geometry and Trigonometry |

### From inside the book

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**segment**is the surface or portion of a circle , included between an arc and its chord . 5. A sector is the part of ...**segments**: but the smaller one is always meant unless the contrary is expressed . An inscribed triangle is one ... Page 55

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**segment**are equal ; because they are all measured by the half of the same arc BOC . B Cor . 2. Every angle BAD ...**segment**greater than a semicircle , is an acute angle ; for it is measured by half of the arc BOC , less than a ... Page 65

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**segment**that shall contain a given angle ; that is to say , a**segment**such , that all the an- gles inscribed in it , shall be equal to the given angle . Let AB be the given straight line , and C the given angle . M O -D G \ E M G - K K ... Page 66

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**segment**would be a semicircle , described on AB as a diameter . PROBLEM XVII . To find the numerical ratio of two given straight lines , these lines being supposed to have a common measure . Let AB and CD be the given lines . From the ... Page 68

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**segments**, are those which correspond to equal angles at the centre . Thus , if the angles A and O are equal , the arc BC will be similar to DE , the sector BAC to the sector DOE , and the**segment**whose chord is BC , to the seg- ment ...### 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