What is the smallest lathe ever built?
920239
Probably something to do with watch making, try googling "watch maker lathe".\n\n\nHere you go http://www.lathes.co.uk/manson/\n\n\nJust found a smaller cnc lathe http://unit.aist.go.jp/amri/group/finemfg/English/research/microLathe1e.htm\n.\n.
8645
Jigsaw puzzles were originally made with a jig saw - a type of saw with very narrow blades specifically for cutting tight turns.  Jig came from the rapid up&down motion of the saw blade, and traces back to the dance called a jig.
374475
a lathe with a quick release chuck would be the best option, especially if their are multiple items however if this isnt practicle for you then its either an external de-burring tool or a file im afraid
170759
Did a quick search, but did not find any LISP compilers for microcontrollers.  However, there were several that mentioned Forth compilers indicating that Forth is very similar to LISP.
991370
LOWE'S\n\nTicker = LOW
115413
Do your own search at the U.S. Patent and Trademark Office (USPTO)\nhttp://patft.uspto.gov/netahtml/search-adv.htm\n\nTry this search for starters:\nTTL/(saw OR trimmer)
173688
i havent seen one yet... but when i had my health class hey says that the smallest one can be 5 inches and the longest could be more than 10 inches
928178
You will have to come up with a really unique differant idea, because a manual lathe is the same as labor intensive, and computer control (CNC) machines today can make a part in seconds compared to what you can do in hours,  I wish you all the luck and maybe you can come up with something. The machine you have is better for some kind of small repair work,  where someone needs a small part right now..but that isn't steady work..
542238
a very slender graduated cylinder with markings for individual mL.
207588
The smallest: Galapagos microplate\n\nPlate                  Area (Square Kilometers)\nGalapagos microplate       12000\nExplorer microplate       18400\nGorda microplate                69600\nRivera microplate                73000\nJuan Fernandez microplate       96000\nEaster microplate                133000\nSouth Sandwich microplate       166000\nJuan de Fuca                252000\nSolomon microplate                254000\nBismark microplate                286000\nMariana microplate                364000\nTonga microplate                962000\nBurma microplate                1110000\nFiji microplates                1144000\nScotia                         1651000\nCaroline microplate       1720000\nCocos                         2860000\nCaribbean                         3319000\nArabian                         5010900\nPhilippine                5447000\nIndian                         11920000\nNazca                         15630000\nSomali                         16667000\nSouth American                43617000\nAustralian                47152000\nAntarctic                         60916000\nAfrican                         61334000\nEurasian                         67811000\nNorth American                75888000\nPacific                         103280000
588743
You can make a really tiny helicopter.
826246
smaller tension = 246 N\nlarger tension = 654 N\n\narrived at by summing the moments around one end of the scaffold (equation #1) and then doing a force balance on the scaffold (equation #2)
1133332
small insects/small vish
276460
Try Jass machine company:\nwww.jassmachco.com/nustep.htm\n                            Lyndell
568576
its not a matter of how sharp, but how small
15632
The smallest cell is a type of bacteria known as mycoplasma. Its diameter is 0.0001 mm. The smallest cell in the human body is the sperm cell.
180694
The source has an excellent discussion of lathes including animated illustrations.  I worked as a machinist to pay my way through early mechanical engineering school and I recall that the real secret to lathes was to correctly hand grind your own tool bits.  If they were "wrong" you got a lot of chatter and lost production and work pieces.  We also had handscrew machines where you inserted a piece in a collet, rotated an manual acuator arm for a quick operation then replace the piece with the next blank.  Also we had turret lathes where the piece remained in place and you turned the turret to bring into play various tool bits for a series of operations.  The most skilled machinist set up and operated automatic lathes where various cams operated (without manual assistance) to perform a series of operations.  Poor work on that machine could quickly ruin a lot of raw material or even ruin the machine.  All machinists had to use a series of measuring tools such as calipers or go/no-go gages to constantly check quality against the drawings.