## 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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**perpendicular**, or tan- gential . 9. Parallel lines are always at the same distance , and never meet , though ever so far produced . 10. Oblique right lines change their distance , and would meet , if produc- ed , on the side of the ... Page 341

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**perpendicular**to anoth- er . Or when the angles on each side are equal to one another , they are right angles . 16. An oblique angle is that , which is made by two oblique lines , and is either less or greater than a right an- gle . 17 ... Page 346

... 52. A quadrant , or quarter of a eircle , is a sector , having a quarter of the circumference for its arc , and its two radii are

... 52. A quadrant , or quarter of a eircle , is a sector , having a quarter of the circumference for its arc , and its two radii are

**perpendicular**to each other . 53. The height , or altitude , of a figure 346 MATHEMATICS . Page 347

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**perpendicular**, let fall from an angle , or its vertex , to the opposite side , called the base . 54. In a right - angled triangle , the side opposite to the right angle is called the hypotenuse ; and the other two the legs , or sides ... Page 347

... 52. A quadrant , or quarter of a circle , is a sector , having a quarter of the circumference for its arc , and its two radii are

... 52. A quadrant , or quarter of a circle , is a sector , having a quarter of the circumference for its arc , and its two radii are

**perpendicular**to each other . 53. The height , or altitude , of a figure 34.6 MATHEMATICS .### 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