A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 17
... proportional to the fines of their oppofite angles . That is , As one fide : Is to the fine of its oppofite angle :: So is any other fide : To the fine of its oppofite angle . And the contrary . Note 1. To find an angle , begin the ...
... proportional to the fines of their oppofite angles . That is , As one fide : Is to the fine of its oppofite angle :: So is any other fide : To the fine of its oppofite angle . And the contrary . Note 1. To find an angle , begin the ...
Page 33
... proportional between the verfed fine ( BD ) and verfed fine of the fupplement ( AD ) . Or , that half the chord is a mean proporti- onal between the fegments of the diameter perpendicular to it . That is , DC or DCX DC = ADxDB . E ...
... proportional between the verfed fine ( BD ) and verfed fine of the fupplement ( AD ) . Or , that half the chord is a mean proporti- onal between the fegments of the diameter perpendicular to it . That is , DC or DCX DC = ADxDB . E ...
Page 73
... proportional between any two fides , and alfo a mean proportional between the other two fides ; and the figure will be equal to the rectangle of thefe mean proportionals . For , half the fum of the fides is equal to the fum of the ...
... proportional between any two fides , and alfo a mean proportional between the other two fides ; and the figure will be equal to the rectangle of thefe mean proportionals . For , half the fum of the fides is equal to the fum of the ...
Page 98
... proportional part of the area of the whole circle for that of the fector . * Note . A fector bears the fame proportion to the whole circle as doth the degrees in its arc or angle to 360 , or as its arc to the whole circumference ...
... proportional part of the area of the whole circle for that of the fector . * Note . A fector bears the fame proportion to the whole circle as doth the degrees in its arc or angle to 360 , or as its arc to the whole circumference ...
Page 119
... proportional to DA , Ab , bc , describe an meeting , in C , another arc defcribed with the center D and radius De ; then join D , G , and with the other two given lines ( = cb and b ) complete the trapezium ABCD , and it is done . arc ...
... proportional to DA , Ab , bc , describe an meeting , in C , another arc defcribed with the center D and radius De ; then join D , G , and with the other two given lines ( = cb and b ) complete the trapezium ABCD , and it is done . arc ...
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Common terms and phrases
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