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 21
... double of o A B or of OBA . And thus you will find the fol- lowing table , containing the degrees in the angle o at the center , and the angle of the polygon , for all the regular figures from 3 to 12 fides . No. of Name of the polygon ...
... double of o A B or of OBA . And thus you will find the fol- lowing table , containing the degrees in the angle o at the center , and the angle of the polygon , for all the regular figures from 3 to 12 fides . No. of Name of the polygon ...
Page 27
... double of it will be nearly equal to the arc ADB . m B P A A C PROBLEM XXXIX . To divide a given Circle into any propofed Number of Parts by equal Lines , fo that thofe Parts fhall be mutually equal , both in Area and Perimeter . Divide ...
... double of it will be nearly equal to the arc ADB . m B P A A C PROBLEM XXXIX . To divide a given Circle into any propofed Number of Parts by equal Lines , fo that thofe Parts fhall be mutually equal , both in Area and Perimeter . Divide ...
Page 94
... double the area . That is , AB X CD X nat . s.P 2 ' the area . :: : Note . Because the diagonals of a fquare and rhom- bus interfect at a right angle , whofe fine is I , there- fore half the product of their diagonals is the area . That ...
... double the area . That is , AB X CD X nat . s.P 2 ' the area . :: : Note . Because the diagonals of a fquare and rhom- bus interfect at a right angle , whofe fine is I , there- fore half the product of their diagonals is the area . That ...
Page 96
... double the area of the triangle . That is , AB X AC X nat . s . of LA the area . 2 EXAMPLES . 1. What is the area of a triangle whofe two fides are AB 30 , and AC 40 , and the included angle A 57 ′ 18 ′′ ? 28 ° 4841226 fin . LA 30 AB 14 ...
... double the area of the triangle . That is , AB X AC X nat . s . of LA the area . 2 EXAMPLES . 1. What is the area of a triangle whofe two fides are AB 30 , and AC 40 , and the included angle A 57 ′ 18 ′′ ? 28 ° 4841226 fin . LA 30 AB 14 ...
Page 101
... double the area . And this rule , as well as the former , is common to all quadrilaterals . the area . That is , AC X BD x nat . s . 4R 2 Or , as radius : s . 4R :: AC X BD : the area , EXAMPLE . . Suppofe the two diagonals be 40 and 30 ...
... double the area . And this rule , as well as the former , is common to all quadrilaterals . the area . That is , AC X BD x nat . s . 4R 2 Or , as radius : s . 4R :: AC X BD : the area , EXAMPLE . . Suppofe the two diagonals be 40 and 30 ...
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Common terms and phrases
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