The _First Table_ consists of _two_ Parts, and each part of _four Columns_. The _first_ part marks the Tides and Ebbs from the day of the _New_-Moon to its _Full_: The _other_, from the _Full_ to the next _New_. The _first Column_ in both parts hath the day of the Month and Week; _M._ standing every where for _Morning_ and _A._ for _Afternoon_. The _third_ column hath the _Character_ of the day of the Week prefixt to the Hour and Minute of the High-water, and answering to the day of the Month. The _last_ Column hath the same for the time of Low-water, varying the _Character_ of the day, as often as the low-water falls out more early than the High-water. In this _Example_ between the said _New_ Moons there falls out in all just 57. periods of the Tide or Flowing water, and 58. of the Ebb or Low water; which numbers vary according to the Intervals of the Moons changes, but with what constancy and exactness, is to be inquired after: Which whosoever undertakes to do, may keep such a _Table_, as is here proposed, in a Book by it self. The _other_ Table doth in 9. _Columns_ comprehend the particular Observations of the _Degrees_ of the Rising and falling of the Tides, and the other things specified at the Tops of them: The _first_ Column marking the Hour and Minut common to all the several Observations. Each hour is divided in 3. equal Parts, that number of Observations being only pitch't upon by way of _Example_: The numbers may else be varied at pleasure, when other more frequent Observations are thought fit to be made, or when they prove too frequent and laborious; though the most frequent are most desirable, till competent information of all particulars be attained. The _Rising_ of the Tide from Low-water to the highest pitcht of the full Sea, is here supposed to be 60. foot: And the Degrees of its rising every 20. Minuts, to be in the _Proportion_ of _Sines_, The whole time of Flowing supposed to be 6. hours. But this _Example_ will serve for marking the _Spaces_ of the Increasing or Rising, as well as of the falling of the water, in order to the investigation of their _Proportions_ to one another, when the _Duration_ of the Tide exceeds 6. hours by any number of _minuts_, as well as for just 6. hours; seeing they may be easily collected from any Number of Observations; their precise Time and that of the Duration of the waters Rising and Falling (that is, the just interval between the High-Water and Low-water) being known: This Calculation by _Sines_, being only set down as a _Conjecture_, flowing from Observations of the Motion of the water in its Rising and Falling, {313} which seems to observe this or some such like Proportion; which is supposed still to hold in _all_ Tides, be the _Duration_ what it will; the Increase still continuing proportionably till the very midle of the Hight and Duration, and Decreasing afterwards in the same manner: Which whether it be so indeed or not, is that, which is desired to be known.