A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 35
... heights and distances of objects , will be fufficiently apparent from the manner in which the following examples are ... height of the tower . Rad . 10'0000000 Tan.LD 47 ° 3010 * 0379475 So BC 100 2 ° 0000000 To CE 109 13 20379475 5 ...
... heights and distances of objects , will be fufficiently apparent from the manner in which the following examples are ... height of the tower . Rad . 10'0000000 Tan.LD 47 ° 3010 * 0379475 So BC 100 2 ° 0000000 To CE 109 13 20379475 5 ...
Page 36
... height CE is found equal to 109'13 , to which DB ( equal to EA equal to five feet the height of the inftrument ) being added , gives AC equal to 114 ° 13 , the whole height . Note . If you go off to fuch a distance from the bottom , as ...
... height CE is found equal to 109'13 , to which DB ( equal to EA equal to five feet the height of the inftrument ) being added , gives AC equal to 114 ° 13 , the whole height . Note . If you go off to fuch a distance from the bottom , as ...
Page 37
... height of a hill whofe angle of elevation taken at the bottom of it was 46 ° , and 100 yards farther off , on a level with the bottom of it , the angle was 31 ° ? 46 ° 2 31 S fubtract DC = 100 LDBC = 15 ° -9 ° 4129962 - LD = 31 ...
... height of a hill whofe angle of elevation taken at the bottom of it was 46 ° , and 100 yards farther off , on a level with the bottom of it , the angle was 31 ° ? 46 ° 2 31 S fubtract DC = 100 LDBC = 15 ° -9 ° 4129962 - LD = 31 ...
Page 38
... height of the inftrument being five feet : What was the height of the obelisk ? fubt . 223 45 ' $ 41 ° LCDB 17 15-94720856 BC = 60 - 1 * 7781512 LC = 23 ° 45 ′ — 9.6050320 BD = 81488-19110976 BD D B C BD 81 * 488 BE 40 ° Sum 121 * 38 ...
... height of the inftrument being five feet : What was the height of the obelisk ? fubt . 223 45 ' $ 41 ° LCDB 17 15-94720856 BC = 60 - 1 * 7781512 LC = 23 ° 45 ′ — 9.6050320 BD = 81488-19110976 BD D B C BD 81 * 488 BE 40 ° Sum 121 * 38 ...
Page 39
... height of an inacceffible object ; at the least distance from it , upon the fame horizontal plane , I took its angle of elevation equal to 58 ° , and going 100 yards directly farther from it , found the angle there to be only 32 ...
... height of an inacceffible object ; at the least distance from it , upon the fame horizontal plane , I took its angle of elevation equal to 58 ° , and going 100 yards directly farther from it , found the angle there to be only 32 ...
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abfciffa againſt alfo Alnwick alſo altitude angle area Verf bafe baſe becauſe breadth bung cafe cafk circle whofe circumference cofine cone confequently conftruction conjugate COROLLARY defcribe difference dimenfions diſtance ditto divided divifion ellipfe equal expreffed expreffion faid fame example fecond fection feet fegment feries fhall fide figure fimilar fince find the area firſt fixed axe fluxion folid fome fpheroid fpindle fquare fruftum fubtract fuch fuppofing furface gallons girt greateſt half head diameter hence hoof hyperbola inches interfecting laft laſt laſt problem lefs length meaſure method middle moſt multiply muſt Newcaſtle oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule Schoolmafter ſhall Sliding Rule ſphere ſquare ſtation tangent theſe thickneſs thofe thoſe tranfverfe trapezium triangle uſed vertex Wherefore whofe whofe height whole whoſe zone ΙΟ