Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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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.</
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>APPENDIX. I.</
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>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 </
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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. </
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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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in Erogatione,
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and this he judged greater than that which was
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in Commentariis.
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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.</
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<
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>APPENDIX II.</
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<
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>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 </
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