[LIST] OF TITLES


VI.	One part of water placed in its natural position does not expel another.	71
VII.	Not all waters of equal size original: "magnitudine." In this context, it refers to volume. are equal in weight.	ibid.
VIII.	Water does not naturally ascend to a place higher than its source.	ibid.
CHAPTER II.	Concerning the properties of water flowing through siphons.	72
PROPOSITION
I.	To describe the various divisions of the siphon.	ibid.
II.	To describe the properties of the upright siphon.	74
III.	To describe the properties of the inverted siphon.	77
IV.	To describe the properties of a mixed siphon with unequal legs.	81
V.	To describe the properties of a mixed siphon with equal legs.	84
VI.	To describe the properties of an inverted siphon when one leg is placed into a vessel.	ibid.
VII.	To explain why water does not flow when the opening of the outer leg of an inverted siphon is higher than, or at the same height as, the top surface of the water in the vessel; but it flows when it is lower.	88
VIII.	To compare the siphon to the balance or lever, and the filter to the siphon.	93
IX.	To describe the pneumatic siphon original: "Diabetem spiritualem." The term "diabetes" here is the Greek word for a siphon or "passing through." The word "spiritual" refers to "pneuma" or air pressure, rather than anything religious. and describe its properties.	94
X.	To make the flow of an inverted siphon steady and equal.	96
XI.	To lead water from one side of a mountain to the other, over the peak, using an inverted siphon.	98
XII.	To raise water from the base of a mountain to its peak using an inverted siphon.	102
XIII.	To explain why, in an interrupted inverted siphon, the vertical drop of the descending water must exceed the vertical rise of the ascending water.	104
XIV.	To explain why, in the Fountain of Hero A device invented by Hero of Alexandria that uses compressed air to create a jet of water., the vertical drop of the falling water must be longer than the vertical rise of the ascending water.	107
CHAPTER III.	Concerning the properties of water flowing through tubes.	110
PROPOSITION
I.	Water flows through the opening at the base of a vertical tube like a column of water. Its base is equal to the opening, and its height is measured perpendicularly from the base; this occurs whether the tubes are kept full or not.	111
II.	An equal amount of water flows out in the same time through tubes of equal height and equal openings, regardless of the tube’s capacity or shape, and whether it is kept full or not.	113
III.	An unequal amount of water flows out in the same time through tubes with equal apertures original: "luminum." Literally "lights," referring to the internal diameter or cross-section of the tube. but unequal heights, whether they are kept full or not.	114
IV.	An unequal amount of water flows out in the same time through tubes with unequal apertures but equal heights, whether they are kept full or not.	ibid.