The young student's pocket companion, or Arithmetic, geometry, trigonometry, and mensuration. With an appendix |
From inside the book
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Page iv
... the modern ; their notations must have been im- perfect , their operations abftrufe and tedious as they wanted the cypher , or a character , that , of it felf figni- fies nothing , to fill up a place and change fies iv PREFACE .
... the modern ; their notations must have been im- perfect , their operations abftrufe and tedious as they wanted the cypher , or a character , that , of it felf figni- fies nothing , to fill up a place and change fies iv PREFACE .
Page vii
... must have made fmall progress therein , who is not fenfible of it . Their help is called in upon every oc cafion , and their great utility is clearly apparent in cal- culations of all forts upon the earth , upon the feas , and in the ...
... must have made fmall progress therein , who is not fenfible of it . Their help is called in upon every oc cafion , and their great utility is clearly apparent in cal- culations of all forts upon the earth , upon the feas , and in the ...
Page 4
... must be placed with the fame caution as before , viz . Units under Units , Tens under Tens , & c . the lefs number under the greater ; then beginning at the Units end if the under figure be lefs , fet down the difference between it and ...
... must be placed with the fame caution as before , viz . Units under Units , Tens under Tens , & c . the lefs number under the greater ; then beginning at the Units end if the under figure be lefs , fet down the difference between it and ...
Page 6
... must be set under · 14436844 that multiplying figure , 43310532 as in the example . 64965798 Product 694744243812 Multiplication may often be contracted or abridged , as in the laft example , again . Multiply 7218422 By 96246 Here ...
... must be set under · 14436844 that multiplying figure , 43310532 as in the example . 64965798 Product 694744243812 Multiplication may often be contracted or abridged , as in the laft example , again . Multiply 7218422 By 96246 Here ...
Page 8
... must be less then the intermediate dividend , and each remainder after fubtracun must be less than the divi- for as in the example above . Contractions in Divifion . To divide by any of the nine digits may be perform- ed mentally , as ...
... must be less then the intermediate dividend , and each remainder after fubtracun must be less than the divi- for as in the example above . Contractions in Divifion . To divide by any of the nine digits may be perform- ed mentally , as ...
Common terms and phrases
affigned alfo aliquot amount angle annuity anſwer Arithmetic bafe baſe Bufhels Cafe 3d Cafe 4th Cafe ift Chalders chord coft confift cube cypher decimal denomination diameter Dimenfions diſtance divide Divifion divifor dominical letter eclipfes elipfis Epact equal exchange faid fame farthings fecond feet fegment fhare fhillings fide firft firſt folidity fome fquare fquare root fraction fruftum fubtract fuch furface Gallons given number Guilders half hypothenufe inches intereft laft laſt lefs length logarithm Meaſure Milions Moidores months moon muft Multiply muſt neceffary number of yards obferved oppofite pence perp perpendicular Piece of eight plain pound pound Sterling prefent worth price per yard principal propofed proportion purchaſe quarters query quotient radius rate per cent ratio refpecting remainder repetend RULE Sterling ſtock Tare term thereof Thouſands triangle Trigonometry uſeful Vulgar Fractions weight whofe ΙΟ
Popular passages
Page 120 - To the remainder bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which is given, and multiply, it by the number denoting the given power, for a divisor. 5., Find how many times the divisor may be had in the dividend, and the quotient will be another figure of the root.
Page 115 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 74 - To reduce fractions to a common denominator RULE. Multiply each numerator into all the denominators, except its own, for a new numerator, and all the denominators together for a common denominator. ' EXAMPLES. 1. Reduce 7 and -= to a common denominator.
Page 120 - ... quotient figure by common division, and annex it to the root ; then involve the whole root into the given power, and call that the subtrahend. 6. Subtract that number from as many points of the given power as...
Page 15 - TIMI. 60 Seconds .«••.......... — i Minute. 60 Minutes =i Hour. 24 Hours ^ . . =i Day. 7 Days = i Week.
Page 76 - To reduce a fraction of one denomination to the fraction of another, but less, retaining the sanье value. RULE. Multiply the numerator by the parts contained in the several denominations between it, and that you would reduce it to, for a new numerator, and place it over the given denominator.
Page 12 - APOTHECARIES' WEIGHT 20 grains i scruple 3 scruples I dram 8 drams i ounce 12 ounces I pound...
Page 120 - ... from the given number. 3. Bring down the firft figure in the next point to the remainder, and call it the dividend. 4. Involve the root into the next inferior power to that which is given ; multiply it by the given power, and call it the diviibr.
Page 12 - Apothecaries' pound and ounce, and the pound and ounce Troy, are the same, only differently divided and subdivided.
Page 187 - The surface of a sphere Is equal to four times the area of one...