Harriot, Thomas, Mss. 6784

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376188v
Corollarium. 4m.
Si agatur mq, erit mqfa parallegrammum, et æqualiumum laterum, et ideo
rhombus. (vel quadrati.)
cum bm sit æqualis be, si agatur mf et producatur versus z.
per conicorum elementum tanget sectionem in f puncto.
et si producetur qf versus y. rectæ af et fy facient æqualis
angulos cum contingente mz. hoc est, angulus afm=yfz
nam: afm=fmq=mfq=yfz.
Inde obiter patet ratio speculi parabolici comburentis, de quo
[Translation: Corollary 4.
If there is constructe mq, then mfqa will be a parallelogram, and of equal sides, and therefore a rhombus (or square).
Since bm is equal to be, if mf is ocnstructed and extended towards z, by the elements of conics it will touch the section in the point f.
And if qf is extended towards y, the lines af and fy make equal angles with the tangent mz, that is, angle afm=yfz, for afm=fmq=mfq=yfz.
Whence is clear the reason for the parabolic mirror for combustion, of which ]

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