## Mathematics: Compiled from the Best Authors, and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volume 1W. Hilliard, 1808 - Mathematics |

### From inside the book

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**radius**of a circle is a right line , drawn from the centre to the cir- cumference . D 46. The diameter of a circle is a right line , drawn through the centre , and terminating in the circumference on both sides . 47. An arc of a circle ... Page 349

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**radius**, de^ Scribe the arc A C. From A and C , with one and the same**radius**, dtscribe arcs , in- tersecting in m . Draw the line B m , and it will bisect the angle , as required.t B m B * Suppose right lines to be drawn from A to m ... Page 350

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**radius**, describe the arc A C. From the cen- tre A , with the same**radius**, cross the A arc A C in n ; and with the centre C , in m . and the same**radius**, cut the arc A C Then through the points m and a draw B m and B n , and they will ... Page 351

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**radius**mC , describe the arc Cn . From the centre C , with the same**radius**, describe A the arc mr . Take the arc Cn D n 322 in the compasses , and apply it from m to r . Through C and r draw DE , the parallel required . * Note . In ... Page 352

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**radius**, describe the arc mns . From the point m , with the same**radius**, turn the compasses twice over on the arc , at n and s . A- gain , with the centres n and s , de- scribe arcs , intersecting in r . Then draw Ar , and it will be ...### Contents

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### Common terms and phrases

2qrs amount of 11 angle annuity annum answer required arithmetical called carats cent centre circle circumference coefficient common denominator completing the square compound interest cube root debt decimal denoted diameter discount Divide dividend division divisor equal equation EXAMPLES exponent figures Find the present fourth gallon geometrical progression geometrical series give given number greater greatest common measure improper fraction least common multiple less number logarithm manner Multiply natural number negative NOTE nth root number of combinations number of terms number of things payment perpendicular pound present worth PROBLEM proportion quotient radius ratio Reduce remainder repetend required to find rule of three sides simple interest sought square root subtract Suppose supposition surd taken tare triangle unknown quantity vulgar fraction Whence whole number yards