The young student's pocket companion, or Arithmetic, geometry, trigonometry, and mensuration. With an appendix |
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Page xvii
... Segment , and an Elipfis Segment of an Elipfis Sector of ditto Parabola and Cycloids . To measure offsets A mixed lined plain 149 150 151 M 152 353 254 156 159 160 162 3863 164 165 166 Menfuration of Solids ibid To measure a Cube ibid ...
... Segment , and an Elipfis Segment of an Elipfis Sector of ditto Parabola and Cycloids . To measure offsets A mixed lined plain 149 150 151 M 152 353 254 156 159 160 162 3863 164 165 166 Menfuration of Solids ibid To measure a Cube ibid ...
Page 144
... segment of the bafe . Again as the longer fide : radius :: the greater feg- ment : co - fine of the included between the bafe and longer leg Or one angle may be found by logarithms . Thus , from half the fum of three fides , fubtract ...
... segment of the bafe . Again as the longer fide : radius :: the greater feg- ment : co - fine of the included between the bafe and longer leg Or one angle may be found by logarithms . Thus , from half the fum of three fides , fubtract ...
Page 159
... verfed fine 12 , required its area ?. The radius per 10th . 79.5 and half the arch per 12th . 44.2 79.5 X 44.23513.9 answer . P 2 Problem Problem 14th . To Measure a Segment of a Circle MENSURATION of SUPERFICIES . 159 Sector.
... verfed fine 12 , required its area ?. The radius per 10th . 79.5 and half the arch per 12th . 44.2 79.5 X 44.23513.9 answer . P 2 Problem Problem 14th . To Measure a Segment of a Circle MENSURATION of SUPERFICIES . 159 Sector.
Page 160
John Draper (of Whitehaven.) Problem 14th . To Measure a Segment of a Circle . Fig . 20 . Definition . A fegmentis a part of a circle , bounded by a right line , and a part of the circle's arch . Dimenfions ... Segment, and an Elipfis.
John Draper (of Whitehaven.) Problem 14th . To Measure a Segment of a Circle . Fig . 20 . Definition . A fegmentis a part of a circle , bounded by a right line , and a part of the circle's arch . Dimenfions ... Segment, and an Elipfis.
Page 161
... Segment of an Elipfis , made by a line parallel to the Con- jugate Axis . Fig . 21 . Definition . This is a part of an elipfis bounded be- tween a right line , and a part of the eliptic periphery . Dimenfions . The parts of the ...
... Segment of an Elipfis , made by a line parallel to the Con- jugate Axis . Fig . 21 . Definition . This is a part of an elipfis bounded be- tween a right line , and a part of the eliptic periphery . Dimenfions . The parts of 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...