## Manual of Geometry and Conic Sections: With Applications to Trigonometry and Mensuration |

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### Common terms and phrases

altitude axis base called centre chord circle circumference circumscribed coincide common consequently construct contains corresponding Cosine Cotang course curve Definitions denoted diameter difference distance divide draw drawn edges equal EXAMPLES extremities faces formula four frustum given greater half hence included inscribed intersect lateral less Let ACD logarithm mean measured meet method middle multiplied opposite parallel parallelogram pass perpendicular placed plane polygon position prism PROBLEM prolongation proportional PROPOSITION proved pyramid radii radius rectangle regular result right angles RULE Scho segments SERIES sides similar Sine solution sphere spherical triangle square straight line subtracting suppose surface Tang tangent term THEOREM third triangle unit vertex volume

### Popular passages

Page 3 - O's, points or dots are introduced instead of the 0's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N'.

Page 72 - If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let bc=ad.

Page 44 - During all the years in which he has been laboring, he constantly submitted his own theories and those of others to the practical test of the class-room — approving, rejecting, or modifying them as the experience thus obtained might suggest. In this way he has been able to produce an almost perfect series of class-books, in which every department of mathematics has received minute and exhaustive attention.

Page 108 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.