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1. IN every Movement some of the wheels and pinions effect or in∣cite the motion, and some others do determinate or spectisicate the same.
2. They which effect the Motion are first, the great wheel (A) with the fuzey, which moveth (••) the pi∣nion of the second wheel, (E) which again moveth (i) the pinion of the third or Cantrate wheel, (J) which again moveth (o) the pinion of the Crown wheel, (O) which lastly, mo∣veth the ballance▪
3. They which spectificate the Mo∣tion, are the pinion (a) fixed to the Arbour of the great wheel moving, (B) the Dial wheel having its revolu∣tion in (H) hours or parts of time to∣gether with such intermediate wheels and pinions as shall be found necessary.
4. If the number of any be divided by the number of another wheel mo∣ving it, or moved by it, the quotient shall show how many revolutions of the Divisor are to one turn of the Di∣vidend, and how much of the Dividend goeth in one turn of the Divisor, as if 〈 math 〉〈 math 〉 it shall be A=γ E that is one turn of (A) is equal in time to (2) turns of (E) and A/2=E that is (½) part of (A) is equal to one turn of (E) Again, if B / α=β it shall be B=βα that is one turn of (B) is equal to (β) turns of (A) and B / 3=A that is (1/3) of (B) is equal in time to one turn of (A &
5. Wherefore in every motion the number of the two wheels do make a Ratio or fraction, whereof the Motrix is the Nrator in those that effect the motion; as A / e=2. E / 1=8. I / o=5. But in those that specificate the motion it is the denominator as B / α=β &c.
6. A view of the wheels and pi∣nions.
〈 math 〉〈 math 〉
7. A=•• B=••8 ••=285, O which are so many turns of (O) if it be ta∣ken for the wheel, or so many notches of the wheel, if it be taken for the number; which is also to be under∣stood of the rest of the Letters, ••i••.
E=A / 2=8J=85,0
J=A / 28=E / 8=5,0
O=A / 285=E / 85=J / ••
8. 〈 math 〉〈 math 〉
9. 285, O=D by which note I sig∣nifie the number of the notches of the Crown wheel (O) gone in one turn of (A) by number 7. wherefore 〈 math 〉〈 math 〉.
10. 〈 math 〉〈 math 〉 which is the number of notches of the Crown wheel (O) is gone in one hour, or 1/H for by number 8. H β285, o ∷ 1. 〈 math 〉〈 math 〉▪
11. Out the former propositions, these follow, viz.
〈 math 〉〈 math 〉
12. 〈 math 〉〈 math 〉 for if in (H) hours are (β) turns of (••) or (βD) nothes gone ({per}10) then in one hour (β / H) turns of (A) or (〈 math 〉〈 math 〉) nothes gone 8 then also in (c) hours (which is the continuance of the watches going) are gone (T) turns of (A) or turns about the fuzey.
13: Wherefore the lesser (β) is taken, the longer shall (c) be at an equal (T).