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nstrual_ motion the Center moves in the Circle L T N; each point in its surface, by its diurnal motion moves in the Circle L M N: whatever effect (accelerative or tardative) the _Menstrual_ would give, that effect by the _Diurnal_ is increased in the parts L M N (or rather l M n. the Semicircle) and most of all at M: but diminished in the parts N O L (or rather n O l) and most of all at O. So that at M, and O, (that is when the Moon is in the _Meridian_ below or above the _Horizon_,) we are to have the Diurnal Tide or High-water, occasioned by the greatest Acceleration or Retardation, which the _Diurnal_ Arch gives to that of the _Menstrual_: which seems to be the true cause of the _Daily Tides_. And withall gives an account, not onely why it should be _every_ day; but like wise, why at _such a time_ of the day; and why this time should in a moneth run through the whole 24 hours; _viz._ because the Moons coming to the _Meridian_ above and below the _Horizon_, (or as the Seamen call it, the _Moons Southing_, and _Northing_,) doth so: As likewise of the _Spring tides_ and _Neap-tides_. For, when it so happens, that the _Menstrual_ and _Diurnal_ Accelerations or Retardations, be coincident, (as at New moons and Full-moons they are,) the effect must needs be the greater. And although (which is not to be dissembled) this happen {275} but to one of the two Tides; that is, the Night-tide at the New-moon (when both motions do most of all Accelerate,) and the Day-tide at Full-moon (when both do most Retard the _Annual_ motion;) Yet, this tide being thus raised by two concurrent causes; though the next Tide have not the same cause also, the _Impetus_ contracted will have influence upon the next Tide; Upon a like reason, as a _Pendulum_ let fall from a higher Arch, will (though there be no new cause to occasion it) make the Vibration on the other side (beyond the Perpendicular) to be also greater: Or, of water in a broad Vessel, if it be so jogged, as to be cast forward to a good height above its Levell, will upon its recoyling, by its own gravity, (without any additional cause) mount so much the higher on the hinder part. But here also we are to take notice, that though all parts of the Earth by its _Diurnal_ motion do turn about its Axis, and describe _parallel_ Circles; yet not _equal_ Circles; but _greater_ neer the _AEquinoctial_, and _lesser_ near the _Poles_, which may be a cause why the Tides in some parts may be much great
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