There were steamers, electrics, Maxim whirling machines, ships powered by guncotton reciprocators and naphtha engines, and electrical lifting-screws of strange hyperboloidal design for drilling upward through the air, and winged aerostats, of streamlined shape, and wing-flapping miracles of ornithurgy.
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Imagine, if you will, a description of a sex orgy. It'd be pretty much the same, right?!
"steamers"
Steam-powered flying machines. This is not the same as Piers Anthony's use of "steamers" which mean a kind of dragon that breathes steam. It is also not the same as the steamer used in the phrase "Cleveland steamer" which is something that Brigadier Pudding is probably into.
"electrics"
Machines powered by electricity. I know I don't need to be describing or defining these for anybody; they're pretty obvious! But you'll be thanking me when we get to the hyperboloidal what-nots and the naphtha doohickeys. By 1893, quite a few different kinds of batteries had already been invented. I don't know how heavy they would be versus the amount of power they could generate but then none of that really matters here. This is that part of Pynchon's fiction that reminds the reader that this is not quite historical fiction but fiction awash in a constant stream of well-researched history.
"Maxim whirling machines"
This is probably where I should just start posting pictures, especially because of the word "Maxim." Oh baby, this is going to be a sexy flying machine! Except that I can only find pictures of Maxim's later flying machines that didn't whirl at all and were built after 1893. It seems the "whirling machines" were a prototype design of his father's (who, I'm assuming, was also a Maxim! So I'm just writing about the wrong Maxim, I guess?) which used "two counter-rotating rotors" but, at the time, there was no engine strong enough to provide lift for the machine. Hiram Maxim (the son!) provided a sketch for this machine in 1872 but never went about building it. I guess some other aeronauts in Pynchon's novel took the bull by the horns and built some themselves. By 1893, there were quite a few engines to choose from to power your fictional helicopter. I mean whirling machine!
"guncotton reciprocators"
This would be a kind of engine that uses cylinders propelled by guncotton. Guncotton is cotton soaked in nitric acid so that it instead of burning slowly like a regular piece of cotton, it goes up in a quick burst of energy. It was mostly used as a replacement for gunpowder. As for being used in engines, my quick and dirty research (you know, reading the Wikipedia article exclusively) didn't turn up anything except that Jules Verne used it as a propellant in From Earth to the Moon. So once again, Pynchon is looking toward science fiction writers of the time to fill his own little historical science fiction novel with "what if this stuff really existed" ideas. This returns to my theory that Pynchon's world in Against the Day is one where natural laws match humanity's belief of them and literally change only after a scientist disproves what was believed. So the world surrounding 1893 is one that is changing dramatically as science and technology continue to disprove old beliefs and establish new scientifically proven models of the world and the universe.
"naphtha engines"
Naphtha is a flammable liquid hydrocarbon mixture. It's a pretty old source of liquid fuel, describing various types of petroleum fuels used across different cultures throughout civilization. If I hadn't already admitted to being a complete ignoramus, it would have been surprising that I'd never heard of this ancient fuel. These "naphtha engines" were probably used for the more rocket-like flying machines, would be my idiotic guess.
"electrical lifting-screws of strange hyperboloidal design for drilling upward through the air"
Most of us can probably picture a flying machine shaped like a screw. But these specific flying machines are hyperboloidal in shape which means they're shaped like a rotating hyperbola. That just means they look like a more aerodynamic spool for thread.
"winged aerostats"
Like Icarus! But more successful.
"wing-flapping miracles of ornithurgy"
I managed to get through this entire post without mentioning one of my favorite cartoons as a kid, Dick Dastardly and Muttley in their Flying Machines, also known by many as Catch That Pigeon.