1and let one Side of the greater A B be prolonged indeterminately
towards S, and of the leſſe the correſpondent Side H I is to be
produced in like manner towards the ſame part, repreſenting the
Line H T, parallel to A S; and let another paſſe by the Center
equidiſtant from the former, namely G V. This done, we ſuppoſe
the greater Poligon to turn about upon the Line A S, carrying
with it the other leſſer Poligon. It is manifeſt, that the point B,
the term of the Side A B, ſtanding ſtill, whilſt the Revolution
begins, the angle A riſeth, and the point C deſcendeth, deſcribing
the arch C que ſo that the Side B C is applyed to the line B Q,
equal to it ſelf: but in ſuch converſion the angle I of the leſſer
Poligon riſeth above the Line I T. for that I B is oblique upon
A S: nor will the point I fall upon the parallel I T, before the
point C come to Q: and by that time I ſhall be deſcended unto
O after it had deſcribed the Arch I O, without the Line H T: and
at the ſame time the Side I K ſhall have paſs'd to O P. But the Cen
ter G ſhall have gone all this time out of the Line G V, on which it
ſhal not fall, until it ſhall firſt have deſcribed the Arch G C. Having
made this firſt ſtep, the greater Poligon ſhall be tranſpoſed to reſt
with the Side B C upon the Line B que the Side I K of the leſſer
upon the Line O P, having skipt all the Line I O without touching
56[Figure 56]
it; and the Center G ſhall be removed to C, making its whole
courſe without the Parallel G V: And in fine all the Figure ſhall
be remitted into a Poſition like the firſt; ſo that the Revolution
being continued, and coming to the ſecond ſtep, the Side of the
greater Poligon D C ſhall remove to Q X; K L of the leſſer (ha
ving firſt skipt the Arch P Y) ſhall fall upon Y Z, and the Center
proceeding evermore without G V ſhall fall on it in R, after the
great skip C R. And in the laſt place, having finiſhed an entire
Converſion, the greater Poligon will have impreſſed upon A S, ſix
towards S, and of the leſſe the correſpondent Side H I is to be
produced in like manner towards the ſame part, repreſenting the
Line H T, parallel to A S; and let another paſſe by the Center
equidiſtant from the former, namely G V. This done, we ſuppoſe
the greater Poligon to turn about upon the Line A S, carrying
with it the other leſſer Poligon. It is manifeſt, that the point B,
the term of the Side A B, ſtanding ſtill, whilſt the Revolution
begins, the angle A riſeth, and the point C deſcendeth, deſcribing
the arch C que ſo that the Side B C is applyed to the line B Q,
equal to it ſelf: but in ſuch converſion the angle I of the leſſer
Poligon riſeth above the Line I T. for that I B is oblique upon
A S: nor will the point I fall upon the parallel I T, before the
point C come to Q: and by that time I ſhall be deſcended unto
O after it had deſcribed the Arch I O, without the Line H T: and
at the ſame time the Side I K ſhall have paſs'd to O P. But the Cen
ter G ſhall have gone all this time out of the Line G V, on which it
ſhal not fall, until it ſhall firſt have deſcribed the Arch G C. Having
made this firſt ſtep, the greater Poligon ſhall be tranſpoſed to reſt
with the Side B C upon the Line B que the Side I K of the leſſer
upon the Line O P, having skipt all the Line I O without touching
56[Figure 56]it; and the Center G ſhall be removed to C, making its whole
courſe without the Parallel G V: And in fine all the Figure ſhall
be remitted into a Poſition like the firſt; ſo that the Revolution
being continued, and coming to the ſecond ſtep, the Side of the
greater Poligon D C ſhall remove to Q X; K L of the leſſer (ha
ving firſt skipt the Arch P Y) ſhall fall upon Y Z, and the Center
proceeding evermore without G V ſhall fall on it in R, after the
great skip C R. And in the laſt place, having finiſhed an entire
Converſion, the greater Poligon will have impreſſed upon A S, ſix