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How you may know how far any peece of Artillery wil conuey her bullet at the best of the randon, by knowing the vtmost range and point blancke of another peece, and how to proue the same: by which rule, you may know how far any peece will reach at point blancke and vtmost range.
Question.
If a Saker at point blanke conuey her bullet 200 pa∣ces, and at the best of the randon shoot 900 paces, what will that Cannon do which at point blancke shoots 360 paces?
Resolution.
To resolue this or the like, I set downe the numbers proportionall according to the rule, multiplying 900 pa∣ces (the vtmost randon of the Saker) by 360 paces, (the point blanke of the Cannon,) so ariseth 324000, which deuided by 200 the number of paces the Saker shoots at point blanke, the quotient is 1620. And so many paces will a Cannon shoot at the best of the randon, that at point blanke rangeth 360 paces, as by working you may find, and by experience better vnderstand.
You may proue this conclusion by the conuerse rule of proportion, multiplying 900 the number of paces the Saker shoots at the best of the randon, by 360, the paces that the Cannon shoots at point blanke; and deuiding that product 1620 the number of paces the Cannon shoots at the best of the randon, the quotient is 200. shewing the number of paces that the Saker shall shoot at point blanke. In this order you may worke the like conclusion by any other peece of Artillery, and finde out the point blanke and vtmost range thereof.