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

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              <s>
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              in the beginning they are ſmall, and afterwards become greater
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              and bigge; and the reaſon is moſt manifeſt, becauſe in the be­
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              ginning they are very ſwift, and afterwards gradually relent
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              their impetuoſity, and motion, ſo that in the beginning of the
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              excurſion that they make, they ought to be ſmall, and after­
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              wards to grow bigger, as in the effect is ſeen.</s>
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              <s>APPENDIX. I.</s>
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              <s>Into the errour of not conſidering how much the different
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              velocities of the ſame running water in ſeveral places of
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              its current, are able to change the meaſure of the ſame
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              water, and to make it greater, or leſſe, I think, if I be not
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              deceived, that
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              Ginlio Frontino
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              a noble antient Writer, may
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              have faln in the Second Book which he writ, of the Aqueducts
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              of the City of
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              Rome
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              : Whilſt finding the meaſure of the Water
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              ^{*}
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              Commentaries
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              leſſe than it was
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              in erogatione 1263. Quinaries,
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              he </s>
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              <s>
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              thought that ſo much difference might proceed from the negligence
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              of the Meaſures; and when afterwards with his own induſtry he
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              meaſured the ſame water at the beginnings of the Aqueducts,
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              finding it neer 10000.
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              Quinaries
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              bigger than it was
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              in Commenta­
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              riis
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              he judged, that the overplus was imbeziled by Miniſters and
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              Partakers; which in part might be ſo, for it is but too true, that
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              the publique is almoſt alwayes defrauded; yet nevertheleſſe, I
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              verily believe withal, that beſides the frauds of theſe Officers,
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              the velocities of the water in the place wherein
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              Frontino
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              meaſu­
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              red, it might be different from thoſe velocities, which are
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              found in other places before meaſured by others; and there­
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              fore the meaſures of the waters might, yea ought necſſarily to
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              be diffcrent, it having been by us demonſtrated, that the mea­
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              ſures of the ſame running water have reciprocal proportion to
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              their velocities. </s>
              <s>Which
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              Frontino
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              not well conſidering, and find­
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              ing the water
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              in Commentariis 12755. Quinaries in erogati­
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              one
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              14018, and in his own meaſure
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              ad capita ductuum,
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              at the
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              head of the fountain 22755.
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              Quinaries,
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              or thereabouts, he
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              thought, that in all theſe places there paſt different quantities of
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              water; namely, greater at the fountain head then that which was
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                <emph type="italics"/>
              in Erogatione,
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              and this he judged greater than that which was
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                <emph type="italics"/>
              in Commentariis.
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              </s>
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            <p type="margin">
              <s>
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              +
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              Commentarius
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              beareth many ſen­
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              ſes, but in this
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              place ſignifieth a
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              certain Regiſter of
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              the quantities of
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              the Waters in the
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              ſeveral publique A­
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              qu ducts of
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              Rome
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              ;
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              which word I find
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              frequently uſed in
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              the Law-books of
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              antient Civilians:
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              Andby errogation
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              we are to under­
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              ſtand the diſtribu­
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              tion or delivering
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              out of thoſe ſtores
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              of Water.</s>
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            <p type="head">
              <s>APPENDIX II.</s>
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            <p type="main">
              <s>Alike miſtake chanced lately in the Aqueduct of
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              Acqua­
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              Paola,
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              which Water ſhould be 2000 Inches, and ſo many
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              effectively ought to be allowed; and it hath been given in </s>
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