A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 219
... spheroid , is an ellipfe fimilar to the generating ellipfe ; in the paraboloid , the fection is a parabola fimilar to the generating parabola ; and in an hyperboloid , it is an hyperbola similar to the generating hyperbola of the folid ...
... spheroid , is an ellipfe fimilar to the generating ellipfe ; in the paraboloid , the fection is a parabola fimilar to the generating parabola ; and in an hyperboloid , it is an hyperbola similar to the generating hyperbola of the folid ...
Page 251
... a ± aphex / 12 — xx _ 2phex aa CC = aa & c . and the fluent is s = 2pbx × : 3-5c8x8 kc . and if for сс aa be 2.3a * 2.4.598 2.4.6.7a12 2.4.6.8.9a1 ́ under figns according as it is an oblong or oblate Sect . III . 251 SPHEROID .
... a ± aphex / 12 — xx _ 2phex aa CC = aa & c . and the fluent is s = 2pbx × : 3-5c8x8 kc . and if for сс aa be 2.3a * 2.4.598 2.4.6.7a12 2.4.6.8.9a1 ́ under figns according as it is an oblong or oblate Sect . III . 251 SPHEROID .
Page 252
... spheroid , viz . s = prfx : 1 = 1/39 - 2.4.5 92 = 3.5 2.3 3 2.4.6.7 q ' 9 A 3 B 3.5G 5.7D 9- 2.4.6.8.99 * & c . or prfx : 17 9- 9+ 2.3 4.5 6.7 8.9 & c . where A , B , C , & c . are the feveral ... SPHEROID . I. For the oblong Spheroid. ...
... spheroid , viz . s = prfx : 1 = 1/39 - 2.4.5 92 = 3.5 2.3 3 2.4.6.7 q ' 9 A 3 B 3.5G 5.7D 9- 2.4.6.8.99 * & c . or prfx : 17 9- 9+ 2.3 4.5 6.7 8.9 & c . where A , B , C , & c . are the feveral ... SPHEROID . I. For the oblong Spheroid. ...
Page 253
... Spheroid . = = q • rr - ff 30 × 30 9 Here f = 40 , r = 50 , and ff 40 × 40 16 Then by increafing the values of the terms , found above for the oblong fpheroid , in proportion to to fuch power of the ratio of the value of 9 in this cafe ...
... Spheroid . = = q • rr - ff 30 × 30 9 Here f = 40 , r = 50 , and ff 40 × 40 16 Then by increafing the values of the terms , found above for the oblong fpheroid , in proportion to to fuch power of the ratio of the value of 9 in this cafe ...
Page 254
... spheroids . Divide the revolving axe by the fixed axe , and call the quotient q . Find the difference between 1 and the fquare of q , and call the fquare root of that difference s . For an oblong spheroid , multiply 01745329 by the ...
... spheroids . Divide the revolving axe by the fixed axe , and call the quotient q . Find the difference between 1 and the fquare of q , and call the fquare root of that difference s . For an oblong spheroid , multiply 01745329 by the ...
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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