Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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and let one Side of the greater A B be prolonged indeterminately
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towards S, and of the leſſe the correſpondent Side H I is to be
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produced in like manner towards the ſame part, repreſenting the
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Line H T, parallel to A S; and let another paſſe by the Center
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equidiſtant from the former, namely G V. </
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<
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>This done, we ſuppoſe
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the greater Poligon to turn about upon the Line A S, carrying
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with it the other leſſer Poligon. </
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<
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>It is manifeſt, that the point B,
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the term of the Side A B, ſtanding ſtill, whilſt the Revolution
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begins, the angle A riſeth, and the point C deſcendeth, deſcribing
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the arch C
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ſo that the Side B C is applyed to the line B Q,
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equal to it ſelf: but in ſuch converſion the angle I of the leſſer
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Poligon riſeth above the Line I T. for that I B is oblique upon
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A S: nor will the point I fall upon the parallel I T, before the
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point C come to Q: and by that time I ſhall be deſcended unto
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O after it had deſcribed the Arch I O, without the Line H T: and
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at the ſame time the Side I K ſhall have paſs'd to O P. </
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<
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>But the Cen
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ter G ſhall have gone all this time out of the Line G V, on which it
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ſhal not fall, until it ſhall firſt have deſcribed the Arch G C. </
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<
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>Having
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made this firſt ſtep, the greater Poligon ſhall be tranſpoſed to reſt
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with the Side B C upon the Line B
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the Side I K of the leſſer
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upon the Line O P, having skipt all the Line I O without touching
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it; and the Center G ſhall be removed to C, making its whole
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courſe without the Parallel G V: And in fine all the Figure ſhall
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be remitted into a Poſition like the firſt; ſo that the Revolution
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being continued, and coming to the ſecond ſtep, the Side of the
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greater Poligon D C ſhall remove to Q X; K L of the leſſer (ha
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ving firſt skipt the Arch P Y) ſhall fall upon Y Z, and the Center
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proceeding evermore without G V ſhall fall on it in R, after the
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great skip C R. </
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<
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>And in the laſt place, having finiſhed an entire
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Converſion, the greater Poligon will have impreſſed upon A S, ſix </
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