A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page xvii
... quantity may be so often multiplied , or added to itself , as that the refult fhall exceed any propofed finite quantity of the fame kind , he proves that to deny his figures to have the propofed relations , would involve an abfurdity ...
... quantity may be so often multiplied , or added to itself , as that the refult fhall exceed any propofed finite quantity of the fame kind , he proves that to deny his figures to have the propofed relations , would involve an abfurdity ...
Page xix
... quantities as infinitely fmall , nor fuppofed any parts of curves to coincide with right lines ; but proposed it in fuch a form as admits of a strict geometrical demonftration . Upon the introduction of this method most sciences affumed ...
... quantities as infinitely fmall , nor fuppofed any parts of curves to coincide with right lines ; but proposed it in fuch a form as admits of a strict geometrical demonftration . Upon the introduction of this method most sciences affumed ...
Page xx
... quantity expreffing the fluxion of any area , in general , could be affigned the fluent in the form of an infinite feries , which feries therefore defined all areas in general , and which , on fubftituting for particular cafes , was ...
... quantity expreffing the fluxion of any area , in general , could be affigned the fluent in the form of an infinite feries , which feries therefore defined all areas in general , and which , on fubftituting for particular cafes , was ...
Page xxvi
... quantity in fome scale whofe root is a fquare number ( for fuch an one it must be ) . It is true we have not yet found the area of the circle , nor the root of 2 , of 3 , & c . in finite terms , yet for each of these we can affign ...
... quantity in fome scale whofe root is a fquare number ( for fuch an one it must be ) . It is true we have not yet found the area of the circle , nor the root of 2 , of 3 , & c . in finite terms , yet for each of these we can affign ...
Page 22
... quantities , and let B be the middle of the right line CL ; then it is evident that BL BC is the half fum , and BN the half difference , as alfo that LB + BN NL the greater quantity , and CB - BN = NC the lefs . Calculation by the ...
... quantities , and let B be the middle of the right line CL ; then it is evident that BL BC is the half fum , and BN the half difference , as alfo that LB + BN NL the greater quantity , and CB - BN = NC the lefs . Calculation by the ...
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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