# 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

Joseph Crukshank, 1806 - 320 уелЯдет

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### Ресйечьменб

 UMERATION 2 Multiplication of Integers 6 Subtraction 5 Redućtion 15 BOOK II 24 Numeration 25 Medial 110 of Three Y Contračted 72 ortugar 116 Equation of Payments 100 Positio Single 123 Barter 105 sion Geometrical 134 VULGAR FRACTIONS 140
 Annuities Pensions 206 Present Worth of 214 Questions for Exercise 259 221 Questions for Exercise 242 242 PART V 266 Chronology 266 Examples on the Celestial 273 PART VI 277 Addition 277 Involution 283

 Reduction 140 Direct 148 Division 148 155 Division 161 Extraction of the Square 170 Its Use 177 Vibrations of Pendulums 186 Fellowship 186 Real Estates 219 192 Equation of Payments 200
 Subtraction 278 Evolution 285 Multiplication 279 Equations 286 Division 280 Problems 295 Fractions 281 Questions 298 APPENDIX 303 Acquittances 303 Bills of Exchange 308 Promissory Notes 307 of Parcels 315

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 77 - ... dollars. How many days did he work, and how many days was he idle ? Ans.
УелЯдб 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?
УелЯдб 165 - Opposite to each dividend, on the left hand, place such a number for a divisor, as will bring it to the next superior denomination, and draw a line between them.
УелЯдб 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.
УелЯдб 248 - Multiply the circumference of the base by the slant height or length of the side, and half the product 'will be the surface.
УелЯдб 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.
УелЯдб 95 - A» the Amount of 100/ at the Rate and Time given : is to 100/ : : so is the Amount given : to the Principal required.
УелЯдб 137 - Hence, when the extremes and the number of terms are given, to find the sum of all the terms,- — Multiply Ј the sum of the extremes by the number of terms, and the product will be the answer.
УелЯдб 142 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
УелЯдб 227 - To fold the area of a Parallelogram, whether it be a Square, a Rectangle, a Rhombus, or a Rhomboides. RULE. Multiply the length by the height or perpendicular breadth, and the product will be the area.* * *DEMONSTSATION.