The young student's pocket companion, or Arithmetic, geometry, trigonometry, and mensuration. With an appendix |
From inside the book
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Page i
... beginning or ending , but we can fuppofe a point any where to be a center in fpace , and there begin our reckoning , whence numbers becoine neceffary to define all extended diftances from that point ; But to speak of the limits of fpace ...
... beginning or ending , but we can fuppofe a point any where to be a center in fpace , and there begin our reckoning , whence numbers becoine neceffary to define all extended diftances from that point ; But to speak of the limits of fpace ...
Page 4
... beginning at the Units end if the under figure be lefs , fet down the difference between it and that above it in the Units place of the intended difference ; if the figure above be lefs , you must take the the difference between the ...
... beginning at the Units end if the under figure be lefs , fet down the difference between it and that above it in the Units place of the intended difference ; if the figure above be lefs , you must take the the difference between the ...
Page 16
... beginning at the lowest denomination , collect that column into one fum , fup- pofe pence , fet down the odd pence , and carry the fhillings to the next line , as in the example , there is 8 farthings that is o and carry 2d . and the ...
... beginning at the lowest denomination , collect that column into one fum , fup- pofe pence , fet down the odd pence , and carry the fhillings to the next line , as in the example , there is 8 farthings that is o and carry 2d . and the ...
Page 65
... beginning with an unit , then if you add any two indices , the numbers under them multiplied , will correfpond in the geometrical feries to the place of the new index as above , 5 + 49 and 16 × 32 512 the 9th term of the above feries ...
... beginning with an unit , then if you add any two indices , the numbers under them multiplied , will correfpond in the geometrical feries to the place of the new index as above , 5 + 49 and 16 × 32 512 the 9th term of the above feries ...
Page 86
... .483 one fum . 5.2222 8.6066 Sum 25.9588 To add circulating Decimals that begin together . ULE . Add according to the common method , only add to the beginning row as any rrite es there are tens to carry from that row where the ( 86 )
... .483 one fum . 5.2222 8.6066 Sum 25.9588 To add circulating Decimals that begin together . ULE . Add according to the common method , only add to the beginning row as any rrite es there are tens to carry from that row where the ( 86 )
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...