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107)
+ fy + [[numerator]] gyẋ [[\numerator]]/ [[denominator]] [[square root]] ẋẋ+ẏẏ [[\square root]] [[\denominator]] + hy [[superscript]] 2 [[\superscript]] = 0; which, when m=1, and n=-1, will be that defining the solid of the least resistance; and this, when the axis only is supposed to be given (without farther restrictions) will be expressed by [[root]] (ẋẋ-ẏẏ) [[\root]] [[superscript]] -2 [[\superscript]] x [[times]]-2ẋyẏ [[superscript]] 3 [[\superscript]] + d = 0, or 2yẏ [[superscript]] 3 [[\superscript]] ẋ = d x [[times]] [[root]] ẋẋ+ẏẏ [[\root]] [[superscript]] 2 [[\superscript]]; being the case, first considered by Sir Isaac Newton. 
- If both the length and the solid content be given, the equation will be -2ẋyẏ [[superscript]] 3 [[\superscript]] x[[times]] + [[root]] ẋẋ+ẏẏ [[\root]] [[superscript]] -2 [[\superscript]] + d + hy [[superscript]] 2 [[\superscript]] = 0; but if, besides these, the superficies is given likewise, it will then be -2ẋyẏ [[superscript]] 3 [[\superscript]] x[[times]] + [[root]] ẋẋ+ẏẏ [[\root]] [[superscript]] -2 [[\superscript]] + d + [[numerator]] eyẋ [[\numerator]]/ [[denominator]] [[square root]] ẋẋ+yẏ [[error? y should be ẏ?]] [[\square root]] [[\denominator]] + hy [[superscript]] 2 [[\superscript]] = 0.

Thus, in like manner, by assuming m=-1/2, and n=1/2, we have [[numerator]] y [[superscript]] -1/2 [[\superscript]] ẋ[[\numerator]]/ [[denominator]] [[square root]] ẋẋ+ẏẏ [[\square root]] [[\denominator]] + d + [[numerator]] eẋ [[\numerator]]/ [[denominator]] [[square root]] ẋẋ+ẏẏ [[\square root]] [[\denominator]] + fy + [[numerator]] gyẋ [[\numerator]]/ [[denominator]] [[square root]] ẋẋ+ẏẏ [[\square root]] [[\denominator]] + hy [[superscript]] 2 [[\superscript]] = 0, for the general equation of the curve of the swiftest descent: which, when e, f, g, and h, are, all of them taken equal to nothing, will become [[numerator]] y [[superscript]] -1/2 [[\superscript]] ẋ [[\numerator]]/ [[denominator]] [[square root]] ẋẋ+ẏẏ [[\square root]] [[\denominator]] + d; which is the case, considered by so many Others, answering to the cycloid. When the length of the arch described in the whole descent (as well as the values of x and y) is given, the equation will then be [[numerator]] y [[superscript]] -1/2 [[\superscript]] ẋ [[\numerator]]/ [[denominator]] [[square root]] ẋẋ+ẏẏ [[\square root]] [[\denominator]] + d + [[numerator]] eẋ [[\numerator]]/ [[denominator]] [[square root]] ẋẋ+ẏẏ [[\square root]] [[\denominator]] = 0, or [[square root]] e - y [[superscript]] -1/2 [[\superscript]] [[\square root]] [[superscript]] 2 [[\superscript (means simply square root) ]] x [[times]] ẋ [[superscript]] 2 [[\superscript]] = d [[superscript]] 2 [[\superscript]] x [[times]] [[line over]] ẋẋ+ẏẏ [[/line over]]. And thus may the relation of x and y be determined, in other cases, and that under any number of restrictions.

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[[left margin]] - Upon the nourishment of the Foetus by Malcolm Fleming, M.D. of Brigg, in Lincolnshire. [[/left margin]]

The substance of No. 42. of the Philos. Trans. Vol. 49. Part I. for 1755. p. 254. 
The manner, not only of generation, the formation [[strikethrough]] & the various of the embryo [[/strikethrough]] of the embryo, & the various changes it undergoes; but even the nourishment of a mature foetus is much disputed; and that, whether the foetus in utero be nourished solely by the blood, which is transmitted to it through the umbilical cord; or whether it is likewise nourished in part by the liquor amnii, in which it swims? for the cleaning up of which is laid down this necessary preliminary, in which "the writers on both sides either explicitly or implicitly agree", to wit, that if it be clearly made out, that the liquor amnii is naturally received into the mouth, stomach, and intestines of the foetus, swimming in it; in that case we are to conclude, that the foetus is in some part nourished by it. The whole tract of the alimentary passage abounds with [[strikethrough]] [[observ]] [[/strikethrough]] absorbent vessels in the foetus, more than in the adult animal; and especially the small intestines have lacteals plentifully opening into them. The liquor amnii is concretable by heat, like the white of an egg; which characteristic in animal juices is, I believe, denied by none to be a proof of their alimentary nature. To such as will not grant this postulation, if any such there be, this paper is not addressed. [[underlined]] Contra negantem principia non est disputandum."  [[/underlined]] Upon examining the intestines, rectum & anus, of a calf, come to full maturity, but brought forth dead, there were found in the anus an incredible quantity of meconium, formed into distinct scybala or balls, each stuck full of tough, thick, white hairs, some scores in each & some an inch or more in length; the skin was likewise white; from which is inferred, "that if hairs loosen'd from the skin of the foetus, and floating in the liquor amnii, can find away into the intestines, and get entangled in the meconium, it

Transcription Notes:
Distinguished between x as a variable and x as a multiplication symbol by writing [[times]] for x as multiplication.