The Doctrine and Application of Fluxions: Containing (besides what is Common on the Subject) a Number of New Improvements in the Theory, and the Solution of a Variety of New, and Very Interesting, Problems in Different Branches of the Mathematics. BY Thomas Simpson...John Nourse, 1750 - Calculus |
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Common terms and phrases
a-bz affumed alfo alſo Angle anſwer Arch Arcs arifing Axis becauſe Body Cafe Celerity Center centrifugal Force centripetal Force Circle Co-f Co-fine Coefficient confequently conftant Quantity COROLLARY correfponding Curve defcribed denoted Diſtance Ecliptic Ellipfis Equa equal Equation Exponent expreffed Expreffion faid fame Manner fecond fhall fince find the Fluent firſt Fluent of a+cz Fluxion fome Force forefaid fubftituting fuppofed Gravity Hence Increaſe inftead interfect itſelf laft laft Term laſt leaft lefs Lemma likewife Logarithm Meaſure muft multiply'd muſt Parallax perpendicular Plane poffible preceding Problem PROB propofed Quan Radius is Unity Ratio Refiftance refpectively repreſented SCHOLIUM Seriefes Series ſhall Sine Spheroid Tang Tangent thefe theſe thoſe Triangle Value Velocity Vinculum Whence whereof whofe Radius whole Fluent whole pofitive Number whoſe
Popular passages
Page 504 - AB equal to c. From A as a centre, with a radius equal to b, describe an arc. From B as a centre, with a radius equal to a, describe an arc, intersecting the other arc at C.
Page 474 - Celeste, that the augmentation of gravity in proceeding from the equator to the pole is as the square of the sine of the latitude...
Page 505 - ... two angles is to the difference of the sines, as the tangent zz of half the sum of those angles is to the tangent of half their difference. For AC : BC :: sin.