# Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools, and Academies

H. Cowperthwait, 1855 - 366 „‰ «·’ðÕ«

### „« ÌÞÊ·Â «·‰«” -þ «»… „—«Ã⁄…

·„ ‰⁄À— ⁄·Ï √Ì „—«Ã⁄«  ðÌ «·√„«þ‰ «·„⁄ «œ….

### «·„Õ ÊÌ«

 Shorter Method of adding Compound 54 Definitions and Illustrations 61 Problems 67 Subtraction from Left to Right 73 Simple Multiplication when only 79 Reduction Descending 85 Abbreviated Method 93 Methods of Proof 100 Problems for Solution 106 Divisor a large Number 112 CONTRACTIONS AND MIS 119 Other Tests 141
 Division by Fractions 200 Other Changes in the Terms of a Frac 207 APPLICATIONS OF FOREGOING 213 XIL RATIO AND PROPORTION 222 Relations of Terms 228 Problems 234 Introductory 240 POWERS AND ROOTS 327 Method of extracting the Square Root 331 To extract the Cube Root 337 Problems 344 Problems 350

### „Þ«ÿ⁄ „‘ÂÊ—…

«·’ðÕ… 361 - How much will it cost to plaster the walls and ceiling of a room 16 ft. 3' long, 14 ft. 2˛
«·’ðÕ… 40 - NUMBERS. 12 units = 1 dozen. 12 dozen ó 1 gross. 12 gross = 1 great gross. 20 units = 1 score.˛
«·’ðÕ… 343 - The areas of circles are to each other as the squares of their diameters.˛
«·’ðÕ… 27 - MONEY. 10 mills = 1 cent. 10 cents = 1 dime. 10 dimes = 1 dollar. 10 dollars = 1 eagle.˛
«·’ðÕ… 38 - Dry Measure. ó 2 pints = 1 quart; 8 quarts = 1 peck; 4 pecks = 1 bushel.˛
«·’ðÕ… 264 - HAND, or, as it is more commonly called, A NOTE, is a written promise to pay a specified sum of money.˛
«·’ðÕ… 40 - MEASURE. 10 millimetres = 1 centimetre. 10 centimetres = 1 decimetre. 10 decimetres = 1 metre. 10 metres = 1 decametre. 10 decametres = 1 hectometre. 10 hectometres = 1 kilometre.˛
«·’ðÕ… 2 - The sign of multiplication, called times or multiplied by, signifies that the numbers between which it is placed are to be multiplied together.˛
«·’ðÕ… 341 - Take three times the square of the root just found for a trial divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if their cube be greater than the first two periods...˛
«·’ðÕ… 39 - OF TIME. 60 Seconds = 1 Minute 60 Minutes = 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = 1 Lunar Month...˛