A treatise on mensuration, both in theory and practice. The second edition, with many additionsG. G. J.&J. Robinson, 1788 - 16 pages |
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Page 56
... series in the third equation ) = 64 4016 degrees 64 ° 24 ' . = And A 18037644016 180101735 78.265 ° 101 * 735 = 78.265 ° = 78 ° 16 ' nearly . A Laftly , being = n 78.265 57 * 2957795 = 1365982 , and r = 191 * 27677 , from the fifth ...
... series in the third equation ) = 64 4016 degrees 64 ° 24 ' . = And A 18037644016 180101735 78.265 ° 101 * 735 = 78.265 ° = 78 ° 16 ' nearly . A Laftly , being = n 78.265 57 * 2957795 = 1365982 , and r = 191 * 27677 , from the fifth ...
Page 115
... series will always terminate . Now exterminating y by its value √1 - ** , the feries will become -xx , 2-1.7-2 or I- -x2 - 3 ( 1 − xx ) + ' 2.3 n - In - 2 1 - xx n - 1 * n - 2 ° n - 3 ° n - 4 * x2 - 5 ( 1 — xx ) 2 & c = 0 , 2.3.4.5 + ...
... series will always terminate . Now exterminating y by its value √1 - ** , the feries will become -xx , 2-1.7-2 or I- -x2 - 3 ( 1 − xx ) + ' 2.3 n - In - 2 1 - xx n - 1 * n - 2 ° n - 3 ° n - 4 * x2 - 5 ( 1 — xx ) 2 & c = 0 , 2.3.4.5 + ...
Page 121
... series pub- lifhed by Mr. JONES , and which he acknowledges he received from Mr. MACHIN . But because the arc whose tangent is } , is = 2 times the arc whose tangent is , minus the arc to tangent ( for 1/8 I 20 I === tang . of twice arc ...
... series pub- lifhed by Mr. JONES , and which he acknowledges he received from Mr. MACHIN . But because the arc whose tangent is } , is = 2 times the arc whose tangent is , minus the arc to tangent ( for 1/8 I 20 I === tang . of twice arc ...
Page 122
... series , we get V + 3v2 3.5v3 √200 × ( 1+ 2.3.27 2.4.5.22.2 2.4.6.7.2373 for the length of the arc whofe verfed fine is v . Or , by writing d , the diameter , instead of 2r , the value of the arc will be ex- v 3.5v3 + 3v2 2.3d 2.4.5d2 ...
... series , we get V + 3v2 3.5v3 √200 × ( 1+ 2.3.27 2.4.5.22.2 2.4.6.7.2373 for the length of the arc whofe verfed fine is v . Or , by writing d , the diameter , instead of 2r , the value of the arc will be ex- v 3.5v3 + 3v2 2.3d 2.4.5d2 ...
Page 126
... series above , and affected with indeterminate coefficients ; then from the compari- fon of as many of the first terms as there are indeterminate quantities affumed , will be found the values of the faid quan- tities in given numbers ...
... series above , and affected with indeterminate coefficients ; then from the compari- fon of as many of the first terms as there are indeterminate quantities affumed , will be found the values of the faid quan- tities in given numbers ...
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abfcifs againſt alfo altitude angle area fine area bafe baſe becauſe breadth bung cafe cafk chains circle whofe circumference cofine cone confequently conjugate Corol corollary curve defcribe diagonal dimenfions diſtance divided divifion draw ellipfe equal expreffed expreffion faid fame example fecond fection feet fegment feries fhall fides figure fimilar fince find the Area firft firſt fluxion folid fome fphere fpheroid fpindle fquare fruftum ftands ftation fubtract fuch fuppofing furface gallons given greateſt half hence hoof hyperbola inches inftrument inſtead interfecting laft laſt problem lefs length meaſure multiply muſt nearly oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule SCHOLIUM ſhall Sliding Rule tangent thefe theſe thofe thoſe tranfverfe trapezium triangle uſed Verf whofe whofe height whole whoſe ΙΟ