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 127
... versed fine 5v PD , then 5d ✓53 + 4✓du × 3 will be the arÇ ADB very near . 5d - 3v . EX- Again , to find another , still nearer , approximation , let there be introduced another indeterminate quantity ; thus , fuppofe v I bo 3bbvv k ...
... versed fine 5v PD , then 5d ✓53 + 4✓du × 3 will be the arÇ ADB very near . 5d - 3v . EX- Again , to find another , still nearer , approximation , let there be introduced another indeterminate quantity ; thus , fuppofe v I bo 3bbvv k ...
Page 138
... versed fine , the radius being r , and q = с == ; then the area r of the fegment will be equal to the difference be- tween the femicircle and this feries , viz . I 2.3 I 2 1.3 6 . 9 -9-2.4.6.72 2.4.5 2rc X ( I - or 2 rc ― q A ― 2.3 4.5 ...
... versed fine , the radius being r , and q = с == ; then the area r of the fegment will be equal to the difference be- tween the femicircle and this feries , viz . I 2.3 I 2 1.3 6 . 9 -9-2.4.6.72 2.4.5 2rc X ( I - or 2 rc ― q A ― 2.3 4.5 ...
Page 144
... versed d fine of a fimilar segment in the table , whose area let be called a . Then r2 : dd :: a : add the area of [ the fegment whofe height is and diameter d , as in the rule . V PROBLEM XI . To find the Area of the Zone 144 [ Part 2 ...
... versed d fine of a fimilar segment in the table , whose area let be called a . Then r2 : dd :: a : add the area of [ the fegment whofe height is and diameter d , as in the rule . V PROBLEM XI . To find the Area of the Zone 144 [ Part 2 ...
Page 147
... versed fine . Therefore 3.661165 25 1464466 the tabular versed fine ; the tabular area for which is 07134954 . L 2 Then Then 07134954 X 25 X 25 = 44 ° 5934625 Sect . 1. ] 147 CIRCULAR ZONE .
... versed fine . Therefore 3.661165 25 1464466 the tabular versed fine ; the tabular area for which is 07134954 . L 2 Then Then 07134954 X 25 X 25 = 44 ° 5934625 Sect . 1. ] 147 CIRCULAR ZONE .
Page 172
... versed fine is ; and IH - IS = 4√3-4 the versed fine sн . Then , dividing the verfed fines ameter , we have 4√3—4 — √ / 3 − 1 8 = 2 and 12-44 / 6 — 3 — √ / 6 = 8 2 HS , IR , by the di- • 366025404 , = 275255128 ; the correfponding ...
... versed fine is ; and IH - IS = 4√3-4 the versed fine sн . Then , dividing the verfed fines ameter , we have 4√3—4 — √ / 3 − 1 8 = 2 and 12-44 / 6 — 3 — √ / 6 = 8 2 HS , IR , by the di- • 366025404 , = 275255128 ; the correfponding ...
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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