The young student's pocket companion, or Arithmetic, geometry, trigonometry, and mensuration. With an appendix |
From inside the book
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Page 113
... height ? Required the radius of a circular meadow , containing ten ftatute acres ? ? Two fhips A , and B , failed from a certain port at the fame time , A failed North 8 miles an hour and B failed Eaft 7 miles an hour , required by an ...
... height ? Required the radius of a circular meadow , containing ten ftatute acres ? ? Two fhips A , and B , failed from a certain port at the fame time , A failed North 8 miles an hour and B failed Eaft 7 miles an hour , required by an ...
Page 147
... height of the monument ? per Trigo . by Log . Co. Ar . As co - fine of altitude obferved 38d . 30m . 0.10646 The ground distance :: Sine of the observed : The height required 50 yards 1.69897 38 30 9.79415 39.8 yards . 1.59958- Third ...
... height of the monument ? per Trigo . by Log . Co. Ar . As co - fine of altitude obferved 38d . 30m . 0.10646 The ground distance :: Sine of the observed : The height required 50 yards 1.69897 38 30 9.79415 39.8 yards . 1.59958- Third ...
Page 168
... height along one of its angles . RULE . If the flant height , or length along one of its angles be given ; fubtract the fquare of the ra- dius of the circle circumfcribing its bafe , from the square of the length , and the fquare root ...
... height along one of its angles . RULE . If the flant height , or length along one of its angles be given ; fubtract the fquare of the ra- dius of the circle circumfcribing its bafe , from the square of the length , and the fquare root ...
Page 169
... height . RULE . Multiply the area of the bafe by a third of the height , if the cone be an upright one ; if the cone be an oblique one its bafe will be eliptical , and the area of that base must be multiplied by a third of a ...
... height . RULE . Multiply the area of the bafe by a third of the height , if the cone be an upright one ; if the cone be an oblique one its bafe will be eliptical , and the area of that base must be multiplied by a third of a ...
Page 170
... height , and that pro- duct is the folidity . If the two diameters of the bases of a fruftrum of a cone be 50 and 30 inches , and the height 9 feet , re- quired the folidity ? 50 × 50 + 30X 30 + 50 × 30 × .7854 X 3 = 80.1 feet the ...
... height , and that pro- duct is the folidity . If the two diameters of the bases of a fruftrum of a cone be 50 and 30 inches , and the height 9 feet , re- quired the folidity ? 50 × 50 + 30X 30 + 50 × 30 × .7854 X 3 = 80.1 feet the ...
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...