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If the Content of a Circle, whose diameter is 14, be 154, what will the content of a Circle be, whose diame∣ter is 28?
Here 14 and 28 having the same denomination, viz. of lines, I extend the Compasses from 14 to 28, then applying that extent the same way, from 154 twice, the moveable point will fall on 616 the fourth proporti∣onal sought, that is, first from 154 to 308, and from 308 to 616. But
But if the first denomination be o•• superficial content, then extend th•••• Compasses unto the half of the di∣stance, between the first and second o•• the same denomination; so the sam•• extent will reach from the third t•• the fourth example.
If the content of a Circle, being 154, have a diameter that is 14, wha•• shall the diameter of a Circle be whose content is 616? Divide the di∣stance betwixt 154 and 616 into •••• equal parts, then set one foot in 14 the other shall reach to 28, the dia∣meter required.
The like is for Squares; for if •••• square whose side is 40 foot, contai•••• 1600 foot: how much shall a squar•• contain, whose side is 60 foot? Tak•• the distance from 40 to 60, and appl•• it twice from 1600, and the move a••∣ble point will stay on 3600, the con∣tent sought for.