X. Given the openings of the same vessel, where one is higher and the other lower and not aligned on the same vertical lines, to find the proportions of the water volumes. original: "ibid." An abbreviation for "ibidem," meaning the same page as the previous entry. ibid.

XI. Given an opening and a horizontal line in a vessel, to place an opening above that line from which an equal amount of water flows in the same time. 166

XII. Given an opening and the side of another in the same vessel, to find an opening from which an equal amount of water flows out. ibid.

XIII. Given an opening, to find another equal one in the same vessel from which water flows in a specific given ratio. 167

XIV. Given an opening, to fit another similar opening of a different size in the same vessel, so that the water flowing from it has a specific ratio to the water flowing from the first. 168

CHAPTER VI.

PROPOSITION

I. To find the weight of the air. 169

II. To find how much air can be condensed. 170

III. To find how much air can be rarefied. 171

PART II.

PRACTICAL APPLICATION.

FIRST CLASS.

CHAPTER I.

Regarding machines that operate by attractive force. In 17th-century physics, attractive force often refers to what we now understand as suction or the effects of atmospheric pressure. ibid.

MACHINE

I. A small fountain enclosed in a glass vial. 177

II. An interrupted inverted siphon: A tube used to convey liquid upwards from a reservoir and then down to a lower level. that carries water up to a determined height. 179

III. The Imperial Fountain. 181 This refers to Hero's Fountain, a hydraulic machine that uses air pressure to create a vertical jet of water.

IV. A cup that pours out liquid through the bottom when it is full, but retains the liquid when it is not full. 183 Commonly known as a Tantalus cup or "Greedy Cup," which uses a hidden siphon to drain the contents if the cup is overfilled.

V. The vomiting crab. 185

VI. The water-repelling glass sphere. 186

VII. An interrupted inverted siphon that raises water to any desired height. ibid.

VIII. The clock ship. 188

IX. The clock inverted siphon. 189

X. Double Catchword for the next page.