A Treatise on Mensuration: Both in Theory and Practice |
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Page 28
... circle is measured by half the arc upon which it ftands : now it ap- pears , from rule 2. prob . 7. fest . 1. part 2. of this work , that the faid EXAMPLE . In the plane triangle ABC , right - 28 Part I. PLANE TRIGONOMETRY .
... circle is measured by half the arc upon which it ftands : now it ap- pears , from rule 2. prob . 7. fest . 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 , ba + c :: a - c : ference of the fegments of the bafe ( b ) made by a perpendicular demitted from its oppofite angle , and b + + b aa - cc aahh_ .CC b the fegment ad- 4a2- aashi bb adjoining to the fide 24 , we fhall have for ...
... prob . 3 , ba + c :: a - c : ference of the fegments of the bafe ( b ) made by a perpendicular demitted from its oppofite angle , and b + + b aa - cc aahh_ .CC b the fegment ad- 4a2- aashi bb adjoining to the fide 24 , we fhall have for ...
Page 31
... prob . 1 , in which are given two fides 26-345 , 2c = 232 , and the angle oppofite to 2c = 37 ° 20 ′ = 37 degrees C. Then ( being = 374 × 3 * 14159 & c . -- 180 = 651589587 ) c = 222 = 116 01610744 + 100097879 - 2 .000009894 + ...
... prob . 1 , in which are given two fides 26-345 , 2c = 232 , and the angle oppofite to 2c = 37 ° 20 ′ = 37 degrees C. Then ( being = 374 × 3 * 14159 & c . -- 180 = 651589587 ) c = 222 = 116 01610744 + 100097879 - 2 .000009894 + ...
Page 62
... 1375 . 1925 550 C 2 ) 756.25 9 ) 378.125 feet 42.013 yards EXAMPLE This rule is common to all quadrilaterals , and is proved at cafe a of prob . 3 . • EXAMPLE II , How many acres are in a 62 Part II . MENSURATION , of.
... 1375 . 1925 550 C 2 ) 756.25 9 ) 378.125 feet 42.013 yards EXAMPLE This rule is common to all quadrilaterals , and is proved at cafe a of prob . 3 . • EXAMPLE II , How many acres are in a 62 Part II . MENSURATION , of.
Page 63
... prob . in trigo- nometry , AC = 40 : AB + BC = 50 :: AB - BC = 10 : AP - PC - 1950-5 = 121 . 40 4 . 1 · And 40 + 12 = 52 = 26 ÷ = aP . 2 2 A B Then , becaufe that the fum of the fquares of the bafe and perpendicular of a right - angled ...
... prob . in trigo- nometry , AC = 40 : AB + BC = 50 :: AB - BC = 10 : AP - PC - 1950-5 = 121 . 40 4 . 1 · And 40 + 12 = 52 = 26 ÷ = aP . 2 2 A B Then , becaufe that the fum of the fquares of the bafe and perpendicular of a right - angled ...
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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 conjugate COROLLARY defcribe difference dimenfions diſtance Ditto divided divifion drawn ellipfe equal expreffed expreffion faid fame example fecond fection feet fegment feries fhall fide figure fimilar fince find the area firſt fixed axe fluxion folidity fome fpheroid fquare fruftum fubftituting fubtract fuch fuppofing furface gallons girt greateſt half head diameter hence hoof hyperbola inches interfecting laft laſt laſt problem lefs length meaſure method middle multiply muſt Newcaſtle oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule Schoolmafter ſhall Sliding Rule ſphere ſpindle ſtation tangent thefe theſe thickneſs thofe thoſe tranfverfe trapezium triangle ufed uſed vertex Wherefore whofe height whole whoſe zone