Thomas Jefferson Papers

# From George Fleming

Healing Springs Louisa Feby 10. 1816

Sir

The arms at first view appear to have one advantage over a Wheel, they give 2 strokes for one revolution of the wallower, this but one, but the power of this wheel 15 i diar is to the power of an arm 15 i long, inversely as the semi diar of the wheel is to the length of the arm, ie. as 15 is to 7½ or 2 to 1. or presenting but half the resistance the velocity doubles. It will also raise the weight much higher & as the velocities of falling bodies are uniformly accelerated thr’o their whole descent, the effect of the stroke must be augmented by that cause, to show this, The arm of 15 i long cannot I think with advantage take the horn at an angle greater than 30° below the horizontal plane passing thr’o the axis, if so, it must drop the horn at the same angle above that plane, the arm must then have described an arc of 60° & while doing so it must have raised the head block to a height equal to the chord of that arc, but the chord of 60° is equal to Radius, therefore the break will be raised 15 i high by an arm 15 i long.—The whole circumference of the cog wheel 47.124 [i] the half or part with cogs is 23.562 i this acting on the curved iron must make the head block describe an arc exactly the same length, let the moving part of the break be 12 feet, this arc 23.562 is the measure of an angle whose quantity may be found a Rad 12 f gives a circumfe 904.7808 i then say as the circle is to this arc so is 360° to 9.°22. The chord of this arc is the measure of the breaks ascent, but as the chord of every arc is double the sine of half the angle it measures, the length of that chord (ie) the perpendicular ascent of the break may be found, bisect that angle 4.°41 & say as Rad is to the sine 4.°41 so is the length of the break 12 f. to half its ascent 11.7 × 2 = 23.4 in. I once projected a thing for this use 2 fluted cast iron cylinders deriving motion from a small water wheel spur cog & trundle, the dispatch would have been rapid, the hemp well broke but this is better I think.—

Nothing can be more simple than the construction of a steam engine for all, perhaps more domestic purposes than your letter requires, recollect the figure I sent to you, a strong iron bar connects the steam & water pistons, an arm is fixed in that bar for the purpose of turning the cocks, let a horizontal shaft be connected with that arm, let this shaft go thr’o the kitchen, & let the other end play on a hinge in the wall 7 or 8 feet from the floor, let a hominy pestle a dough pestle & a churn staff be appendant to that shaft with a small contrivance to turn the spit, it [is]2 obvious as the piston bar goes up & down the whole machinery is at work, pipes for raising the water need not be larger in the bore than a musket, the power of steam necessary to do all this is trifling, the boiler may be worked into & even with the back of the fireplace or it may be of a rectangular form the perpendicular in the fire back the horizontal into & even with the hearth, thus a greater surface is exposed to the heat, no room is lost, nor an atom more of fuel consumed than without it,—In 2 or 3 Months if I can I shall go to Phila to have the model of my projet executed. Be pleased to accept my gratefull acknowlegements for your polite attention to my last & believe me to be as I have ever been most respectfully & sincerely Yrs

Geo. Fleming

PS On further reflection I think it probable this construction of ye hempbreak may be subject to this hasard that the cog wheel when freed from the weight may revolve too quick & meet the head block too soon, one cog less would remedy this, or I would rather recommend two more rounds in the wallower which will answer the same end & at same time increase the levatic power; but after all we shall be best instructed by trials.—

(); edge chipped; addressed: “Thomas Jefferson Esqre Monticello Albemarle”; franked; postmarked Goochland Courthouse, 19 Feb. 1816, and Charlottesville, 21 Feb.; endorsed by TJ as received 21 Feb. 1816 and so recorded in .

1Omitted word editorially supplied.

2Omitted word editorially supplied.

# Index Entries

• agriculture; hemp brake search
• Fleming, George; and steam engines search
• Fleming, George; and TJ’s hemp-brake design search
• Fleming, George; letters from search
• hemp; brake search
• machines; hemp brake search
• machines; steam engine search
• steam engine search