Castelli, Benedetto, Of the mensuration of running waters, 1661

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              much as it ran before; ſo that when the water ſhall be quadru­
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              ple, the height ſhall be double; and if the water were centuple,
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              the height would be decuple onely, and ſo from one quantity
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              to another: And on the contrary, in the Diverſions; If of the
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              100. parts of water that run thorow a River, there ſhall be di­
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              verted 19/160, the height of the River diminiſheth onely 1/10, and con­
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              tinuing to divert 17/100, the height of the River abateth likewiſe 1/10,
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              and ſo proceeding to divert 15/100 and then 13/100, and then 11/100, and
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              then 9/100, and then 7/100, and then 5/100, and then 3/106, alwaies by
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              each of theſe diverſions, the height of the Running Water di­
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              miniſheth the tenth part: although that the diverſions be ſo une.
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              </s>
              <s>qual. </s>
              <s>Reflecting I ſay upon this infallible Truth, I have had a
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              conceit, that though the
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              Reno
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              and other Rivers were diverted
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              from the Valleyes, and there was onely left the
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              Chanel of Navi­
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              gation,
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              which was onely the 1/20 part of the whole water that fal­
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              leth into the Valleys; yet nevertheleſs, the water in thoſe ſame
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              Valleyes would retain a tenth part of that height that became
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              conjoyned by the concourſe of all the Rivers: And therefore I
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              ſhould think that it were the beſt reſolution to maintain the
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              Gha­
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              nel of Navigation
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              (if it were poſſible) continuate unto the P
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              o
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              of
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                <emph type="italics"/>
              Ferrara,
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              and from thence to carry it into the P
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              o
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              of
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              Volano
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              ; for
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              beſides that it would be of very great eaſe in the Navigation of
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              Bologna,
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              and
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              Ferrara,
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              the ſaid water would render the P
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              o
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              oſ
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                <emph type="italics"/>
              Volano
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              navigable as far as to the very Walls of
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              Ferrara,
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              and con­
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              ſequently the Navigation would be continuate from
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              Bologna
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              to
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              the Sea-ſide.</s>
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              <s>But to manage this enterprize well, it is neceſſary to meaſure
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              the quantity of the Water that the Rivers diſcharge into the Val­
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              leys, and that which the
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              Chanel of Navigation
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              carryeth, in man­
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              ner as I have demonſtrated at the beginning of this Book; for this
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              once known, we ſhall alſo come to know, how profitable this di­
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              verſion of the
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              Chanel of Navigation
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              from the Valleys is like to
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              prove; which yet would ſtill be unprofitable, if ſo be that all
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              the Rivers that diſcharge their waters into the Valleys, ſhould
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              not ſirſt be Drained, according to what hath been above ad­
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              vertiſed.</s>
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              <s>Abbot CASTELLI,
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              in the preſent conſideration referring
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              himfelf to the Relation of
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              Monſig. </s>
              <s>Corſini,
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              grounded upon the Ob­
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              ſervations and Precepts of the ſaid Abbot; as is ſeen in the pre­
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              ſent Diſcourſe. </s>
              <s>I thought it convenient for the compleating of the
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              Work of our Aulhour, upon theſe ſubjects, to inſert it in this
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              place.
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              </s>
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