miliar Problems, from which we &longs;hall pa&longs;s to the Notions and <lb/>
que&longs;tions more &longs;ubtil and curious; which will al&longs;o prove profi&shy;<lb/>
table, and not to be &longs;leighted in this bu&longs;ine&longs;s of Waters.</s></p>

<p type="head"> <s>PROPOSITION I. PROBLEME I.</s></p>

<p type="main"> <s><emph type="italics"/>Achanel of Running-Water being given, the breadth <lb/>
of which pa&longs;sing through a Regulator, is three <lb/>
Palms; and the height one Palm, little more or <lb/>
le&longs;s, to mea&longs;ure what water pa&longs;&longs;eth through the <lb/>
Regulator in a time given.<emph.end type="italics"/></s></p>

<p type="main"> <s>Fir&longs;t, we are to dam up the Chanel; &longs;o that there pa&longs;s not any <lb/>
water below the Dam; then we mu&longs;t place in the &longs;ide of the <lb/>
Chanel, in the parts above the Regulator three, or four, or five <lb/>
Bent-pipes, or Syphons, according to the quantity of the water <lb/>
that runneth along the Chanel; in &longs;uch &longs;ort, as that they may <lb/>
drink up, or draw out of the Chanel all the water that the Cha&shy;<lb/>
nel beareth (and then &longs;hall we know that the Syphons drink up <lb/>
all the water, when we &longs;ee that the water at the Dam doth nei&shy;<lb/>
ther ri&longs;e higher, nor abate, but alwaies keepeth in the &longs;ame Le&shy;<lb/>
vel.) The&longs;e things being prepared, taking the In&longs;trument to <lb/>
mea&longs;ure the time, we will examine the quantity of the water that <lb/>
i&longs;&longs;ueth by one of tho&longs;e Syphons in the &longs;pace of twenty vibrations, <lb/>
and the like will we do one by one with the other Syphons; and <lb/>
then collecting the whole &longs;umme, we will &longs;ay, that &longs;o much is <lb/>
the water that pa&longs;&longs;eth and runneth thorow the Regulator or <lb/>
Chanel (the Dam being taken away) in the &longs;pace of twenty &longs;e&shy;<lb/>
cond minutes of an hour; and calculating, we may ea&longs;ily reduce <lb/>
it to hours, dayes, months, and years: And it hath fallen to my <lb/>
turn to mea&longs;ure this way the waters of Mills and Fountains, and I <lb/>
have been well a&longs;&longs;ured of its exactne&longs;s, by often repeating the <lb/>
&longs;ame work.</s></p>

<p type="head"> <s>CONSIDERATION.</s></p>

<p type="main"> <s>And this method mu&longs;t be made u&longs;e of in mea&longs;uring the waters, <lb/>
that we are to bring into Conducts, and carry into Cities <lb/>
and Ca&longs;tles, for Fountains; and that we may be able afterwards <lb/>
to divide and &longs;hare them to particular per&longs;ons ju&longs;tly; which will <lb/>
prevent infinite &longs;uits and controver&longs;ies that every day happen in <lb/>
the&longs;e matters..</s></p>