A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 28
... meafured by half the arc upon which it ftands : now it ap- pears , from rule 2. prob . 7. fect . 1. part 2. of this work , that the faid • EXAMPLE . In the plane triangle ABC , right - 28 Part I. PLANE TRIGONOMETRY .
... meafured by half the arc upon which it ftands : now it ap- pears , from rule 2. prob . 7. fect . 1. part 2. of this work , that the faid • EXAMPLE . In the plane triangle ABC , right - 28 Part I. PLANE TRIGONOMETRY .
Page 30
... prob . 3 , b : a4c :: a - c : ference of the fegments of the base ( b ) made by a perpendicular demitted aa - cc aa - bb - cc from its oppofite angle , and b ÷ + b adjoining to the fide 2a , we fhall have √ 4a2b2 _aa_bb_cc 2 2 au - cc ...
... prob . 3 , b : a4c :: a - c : ference of the fegments of the base ( b ) made by a perpendicular demitted aa - cc aa - bb - cc from its oppofite angle , and b ÷ + b adjoining to the fide 2a , we fhall have √ 4a2b2 _aa_bb_cc 2 2 au - cc ...
Page 31
... prob . I , in which are given two fides 2b = 345 , 2c = 232 , and the angle oppofite to 2c = 37 ° 20 ′ = 37 degrees C. 180 2 Then ( being = 37 + * 3 * 14159 & c . = · 651589587 ) c = 232 = 116 = rx : 651589587 04610744 + 00097879 ...
... prob . I , in which are given two fides 2b = 345 , 2c = 232 , and the angle oppofite to 2c = 37 ° 20 ′ = 37 degrees C. 180 2 Then ( being = 37 + * 3 * 14159 & c . = · 651589587 ) c = 232 = 116 = rx : 651589587 04610744 + 00097879 ...
Page 62
... 27'5 27'5 1375 1925 550 2 ) 756.25 9 ) 378.125 feet 42013 yards EXAMPLE * This rule is common to all quadrilaterals , and is proved at cafe 2 of prob . 3 . - - EXAMPLE II . How many acres are in 62 Part II . MENSURATION of.
... 27'5 27'5 1375 1925 550 2 ) 756.25 9 ) 378.125 feet 42013 yards EXAMPLE * This rule is common to all quadrilaterals , and is proved at cafe 2 of prob . 3 . - - EXAMPLE II . How many acres are in 62 Part II . MENSURATION of.
Page 63
... prob . in trigo- nometry , AC = 40 : AB + BC = 50 :: AB - BC = 10 : AP - PC-- 10 × 50 = == 121 . 40 4 40 + 12 = 52 = 26 ÷ = aP . And 40 + 12 2 2 B A P C Then , because that the sum of the fquares of the bafe and perpendicular of a right ...
... prob . in trigo- nometry , AC = 40 : AB + BC = 50 :: AB - BC = 10 : AP - PC-- 10 × 50 = == 121 . 40 4 40 + 12 = 52 = 26 ÷ = aP . And 40 + 12 2 2 B A P C Then , because that the sum of the fquares of the bafe and perpendicular of a right ...
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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