TABLE
Of the Contents of this Treatise

Page 1.
The first attempts to draw water from mines by means of fire.

Page 2.
Who were the first inventors of the fire- and and air-machine described in this treatise.

Page 2.
How the model of this machine has been worked at for ten years.

Page 4.
About the first fire- and air-machine which was constructed at Dudley Castle in Staffordshire.

Page 4.
How many attempts have been made to gain some knowledge of the construction of these marvellous machines.

Page 6, 7.
How the author got to know the theory and practice of the fire- and air-machine.

Page 9.
Explanation of the copper-plate.

Page 14.
Further description of the fire-machine.

Page 15.
§ 1. Concerning its might and power.

Page 16.
§ 2. How the fire-machine obtains its power through the weight and pressure of the air.

Ibidem.
The pressure caused by the air upon empty vessels (vase ab aere vacuo).

Page 17.
§ 3. A simile explaining the pressure caused by the air upon all things that exist on our globe.

Page 20.
§ 7. How high the air extends above the earth, and the method by which to calculate this height.

Page 21.
§ 9. Of the expanding force of heated air.

Page 22.
§ 9. An experiment or test proving the expansive force of the air, caused by heat.

Page 23.
To show that the fire-machine obtains its power from the elasticity or expanding force of the air.

Page 24.
§ 12. To show that the Dannemora fire-machine posses twice the power required for the present depth of the mine, wherefor it will still prove effective when the mine has reached a depth of 107 fathoms.

Ibidem.
Concerning the effect of the Dannemora fire-machine.

Page 25.
§ 14. This effect, recently obtained by the machine, calculated in tunnor and skeppund.

Page 29.
§ 20. An account of the fire- and air-machine constructed in the Hungarian mining-town Königsberg.

Page 32.
§ 21. The power and effect of this machine compared with the Dannemora machine.

Page 33.
§ 22. The basis for the calculations, showing that the Dannemora fire-machine has produced a greater effect than could be obtained in the same time by 528 horses.

Page 35.
§ 26. Concerning the utility and economy of the Hungarian and Dannemora machines compared with the usual way of drawing water by means of winds and horses.

Page 36.
§ 28. How wet most of the coal mines are in England, Scotland and Wales.

Page 36.
§ 30. The purpose for which the fire-machines are generally used in Great Britain.

Ibidem.
The fire-machine in London.

Page 38.
§ 32. How a Doctor in Medicine and Fellow of the Royal Society in England has obtained a privilege to make an invention by means of which the fire-machine would cause a ship in calm weather to make great headway.

Page 39.
§ 33. The number of fire-machines, built outside Great Britain.

Page 39.
§ 35. How necessary such a fire machine would be for the docks at Carlscrona.

Page 42.
Concerning a newly-invented dock.

Page 42.
§ 37. How the fire-machine could be made to serve other purposes.

Page 43.
§ 39. How very useful such a machine would prove for the repair of the locks at all times, and of what use it might be in the intervals.

Page 44.
§ 39. How a reservoir or water-basin could be constructed at Brunkeberg.

Page 44.
§ 40. And how the Royal Palace, which is now under construction, could thus be made safe against fire for ever.

Page 45.
§ 41. How many towns in Sweden are most conveniently situated for similar constructions.

Page 46.
How many purposes may be served by such a little fire-machine as the one owned by the Prince of Schwartzenberg.

Page 47.
§ 42. Grain- and other mills in fortresses could easily be driven by a similar machine.

Ibidem.
Item how many purposes it could serve at the mines, besides the pumping of water.

Page 47.
§ 43. The advantages possessed by the fire-machine before all the hitherto known artifices.

Page 48.
§ 44. How foolishly those behave who attempt to create artifices without a true knowledge of mechanics and its laws.

Ibidem.
What harmful and destructive proposals they make.

Page 49.
§ 45. A fire-machine can be placed anywhere without being tied to any particular situation as are all other machines.

Page 49.
§ 46. The power of the fire-machine increases enormously with the increase of the width of the cylinder.

Page 50.
§ 47. All other artifices ought not to--and cannot possibly--be looked upon as much else than simple instruments which do not contribute in any way to the generation of power.

Ibidem.
How the fire-machine not only generates an incredibly great power but also is an instrument which applies this power to whatever purpose may be required.

Page 51.
§ 48. How the fire-machine is constructed of parts which do not rot or decay or waste through friction but defy time.

An:o 1728 D. 28 M. Aug. Hanc Machinam vidi, rapidissimo motu miraculosam; Simulque admiratus sum: Divinae bonitatem Providentiae, quae, Archimede Hyperboreo, in praecipiti Senectatis constituto, regni patriaeque Saluti ita prospexerit; Ut esset adhuc inter Cives, qui ingenio atque industria tantem Sectaretur er aemularetur gloriam, et evidentissimis comprobaret exemplis, Se Phoenicem aliquando prioris in patria Solatium futurum, eamque navaturum operam, qua sciant transmarinae gentes, nostrique ipsimet nepotes, maturitatem ingenii judiciique, non alias magis quam in hac penultima Septentrionis plaga, sedem domiciliumque Suam fixisse.--H. Kolthoff.

To make the weight for the winds; and he weigheth the waters by measure.--Book of Job, Chapter XXVIII, Verse 25.

Those who are studying and speculating much, often get stubborn and easily roused; especially against those who are unbiased and honest.--Urban Hierne: Defensionis Paracelsicae Prodromus, Stockholm, 1709. Page. 11.


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