## The Tutor's Guide: Being a Complete System of Arithmetic; with Various Branches in the Mathematics ... To which is Added, an Appendix, Containing Different Forms of Acquittances, Bills of Exchange, &c. &c. ...G. Wilkie, 1815 - 320 pages |

### From inside the book

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**frustum**of a pyramid or cone is that part which remains , when any part next the vertex is cut off by a plane parallel to the base . Fig . 19. A wedge is a solid , having a rectangular base , DB , and two of the opposite sides ending in ... Page 226

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**frustum**of a spheroid . LXXV . SUPERFICIAL MEASURE . PROBLEM I. To multiply feet , inches , and parts , by feet , inches , and parts , which method is termed cross multiplication , but more properly duodecimals . RULE . Set the feet in ... Page 248

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**frustum**of a pyramid or cone . Fig . 17 . Fig . 18 . C Add into one sum the areas of the two ends , and the mean proportional between them ; multiply the sum by the perpendicular height ; and of the product will be the 248 Mensuration ... Page 249

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**frustum**of a cone 60 feet high , the diameters of its ends being 20 and 3 feet ? ( 12 ) How many solid feet are there in a conical**frustum**, the circumferences of whose bases are 66 and 56 feet , height is 4 feet ? PROBLEM XVIII . To ... Page 251

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**frustum**of a square pyramid made by a section parallel to the base . RULE . To the area of the ends add the product of their sides ; multiply the sum by a third part of the altitude ; and the pro- duct will give the solidity . EXAMPLE ...### Contents

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### Common terms and phrases

acres amount annuity annum answer arithmetical progression avoirdupois bought Bushels chaldron ciphers common difference compound Copecs cost crown cube root decimal demand denominator diameter ditto Divide dividend divisor dwts ell English equal equation EXAMPLES exchange Exercise at leisure extract the square farthings feet figure Flemish frustum gain gallons given number given quantity guilders guineas half half-yearly hhds improper fraction Integer length London lowest terms MEASURE miles moidore months multiplicand number of days number of terms Ounces paid payable payment pence person piece Pints pounds pounds sterling present worth principal proceed proportion put to interest QUESTIONS for Exercise quotient rate per cent ready money Reduce remainder repetend RULE shillings side sold square root sterling subtract Table tare THEOREM third VULGAR FRACTIONS weight whole number wine yards yearly

### Popular passages

Page 126 - There is a fish whose head is 6 inches long, and the tail is as long as the head and half the body, and the body is as long as the head and tail ; what is the length of the whole fish?

Page 141 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.

Page 135 - Any three of the five following things being given, the other two may be found. 1. The first term. 2. The last term. 3. The number of terms.

Page 77 - ... dollars. How many days did he work, and how many days was he idle ? Ans.

Page 248 - Multiply the circumference of the base by the slant height or length of the side, and half the product 'will be the surface.

Page 179 - To find the aide of a cube that shall be equal in solidity to any given solid, as a globe, cylinder, prism, cone, Ifc.

Page 26 - Add the first column or denomination together, ať in whole numbers ; then divide the sum by as many of the same denomination as make one of the next greater, setting down the remainder under the column added, and carry the quotient to the next superior denomination, continuing the same to the last, which add, as in simple addition

Page 12 - When the divisor is large, the pupil will find assistance in determining the quotient figure, by finding how many times the first figure of the divisor is contained in the first figure, or if necessary, the first two figures of the dividend.

Page 265 - The workmen thought that substituting part silver was only a proper <perquisite; which taking air, Archimedes was appointed to examine it ; who, on putting...

Page 172 - Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator.