Cyclomathesis : or, An easy introduction to the several branches of the mathematics; being principally designed for the instruction of young students, before they enter upon the more abtruse and difficult parts thereof . eometrically. Quadratic equations, whofe general form isa* 4. pa + q — o, may alfo be conftru&ed bythe laft rule; and then r and s will be = o;but the method of conftruding by the circle,is eafier. 4 RULE. Any cubic or biquadratic equation x* + px*+ qxz + rx -f- s zz o, may be conftructed me-chanically thus:21. 1. Upon a plain fmooth wail, draw a hori-zontal line AB, and CD pe


Cyclomathesis : or, An easy introduction to the several branches of the mathematics; being principally designed for the instruction of young students, before they enter upon the more abtruse and difficult parts thereof . eometrically. Quadratic equations, whofe general form isa* 4. pa + q — o, may alfo be conftru&ed bythe laft rule; and then r and s will be = o;but the method of conftruding by the circle,is eafier. 4 RULE. Any cubic or biquadratic equation x* + px*+ qxz + rx -f- s zz o, may be conftructed me-chanically thus:21. 1. Upon a plain fmooth wail, draw a hori-zontal line AB, and CD perpendicular to it,and take CP 2= £/>, to the left hand if p is af-firmative. Hang a thread and plummet EPFto any point E, in the perpendicular EP 5make a knot in the thread at «, and tie theother ends fo to the fixt point E, that ?n maybe =2. Then with a pin or the point of acompafs, move the thread EF fideways towardCD, till the knot n falls in the point C;mark the point D in the line CD, where thepin is, when that happens. 2. From D take DG = ffi+1~? ( = +r, to the left, if V / Hw s D \ B \ rvv- ••• - t/.Vi.


Size: 1443px × 1731px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No

Keywords: ., bookauthorada, bookauthorbostonpubliclibraryjohnadamslibrarybrl