▶ Homework
According to the OED, the original meaning of "homework" does conflate much more obviously with "housework," with the former being defined, above all, as:
Work done at home, esp. as distinguished from work done in a shop or factory.
The earliest citation is a hearty piece of precious advice from a sermon from the 1680s:
Wherefore let every Man, in the first place, look after his Homework; what he hath to do at Home.
Less vague examples of homework were given in later quotes: Spinning, quilting, and embroidery. This crafty and practical usage seems, however, to be an obsolescent meaning of homework, with the last use from the '30s. But the word "home worker" (doing low-paying piecework) lives on, preserving this original meaning of "homework":
Most home workers are women. They need the flexibility of working hours that home work allows. (Guardian, 1973)
The second—and now primary—meaning of "review/preparatory school work despised by youth" didn't appear until much later (late 19th century), but it's thriving and strong, having quickly overtaken the original meaning.
▶ Housework
The first citation of "house-work" from the OED (which hyphenates it) is from mid-19th century. Its meaning has always been as it is now: "the work done to keep a house orderly (and housewares clean)," diligently by housewives and begrudgingly by house-servants:
While the boys are engaged in out-door work, the girls could be employed in sewing or house-work. (Report of the Commissioner of Indian Affairs, 1871)
Here it contrasts homework (sewing) with housework [other activities].
As FumbleFingers's Ngram shows, it has also been used in texts in its unhyphenated form, which the OED has chosen not to include, as Alenanno first noted above in the comments, although it does feature a sub-entry for the spaced "house work" (definition-less, with a single late-19th-century quote).
So the two words would seem to have diverged after the first (homework) took on a specialized meaning relatively late in its life. Now let's find the courage to get back to doing either/both!
No one really knows why they're called dongles. An early dongle was a "solid and non-dangling RS232 block", and it's only really modern dongles that dangle, and only then when attached to a key-fob or lanyard. A claim they were invented by "Don Gall" was just made-up for an advert.
However, we do know the computer dongle now often refers to a USB memory stick but earlier dongles were hardware security devices, without which a software program won't run. Security dongles are still used and often connect via USB. I've used serial-cable dongles, but more recently they've been USB (because more computers have USB than serial connections). It doesn't matter who copies the software: without the physical dongle, you can't use the software.
OED
The definition in the OED is for a security dongle:
A software protection device which must be plugged into a computer to enable the protected software to be used on it.
1981 New Scientist 1 Oct. 24/3 Many programs written for the Pet computer make use of a device known as a dongle. The dongle is an extra piece of memory that is plugged into the computer, without which the program refuses to run.
They say the etymology is "Arbitrary".
Wiktionary
The meaning has passed on from a hardware security device, to any [USB-based] hardware security device, to almost any [USB] device. Wiktionary has two definitions, the first newer and more general:
(computer hardware) Any small device which plugs into an electronic device, typically a computer, and alters its functionality. Common examples include wireless modems, software copy protect devices, and adapters. Some USB keyboards and mice include USB to PS/2 adapter dongles, enabling their use on machines with PS/2 ports.
(computer hardware) A hardware device utilized by a specific application for purposes of copy protection.
Both of these say the device interacts with the computer ("alters its functionality" or for "copy protection"), but I think it's also used much more generally as any smallish USB-based connecting thingy.
Jargon File
The earliest Jargon File entry is in version 2.1.1 of 12 June 1990:
DONGLE (don-gl) n. 1. A security device for commercial microcomputer
programs consisting of a serialized EPROM and some drivers in an
RS-232 connector shell. Programs that use a dongle query the port
at startup and programmed intervals thereafter, and terminate if it
does not respond with the dongle's programmed validation code.
Thus, users could make as many copies of the program as they want
but must pay for each dongle. The idea was clever but a practical
failure, as users disliked tyng up a serial port this way. 2. By
extension, any physical electronic key or transferable ID required
for a program to function. See DONGLE DISK.
DONGLE-DISK (don'g@l disk) n. See DONGLE; a DONGLE-DISK is a floppy
disk with some coding which allows an application to identify it
uniquely. It can therefore be used as a DONGLE. Also called a "key
disk".
In the latest version 4.4.8 the definitions have expanded:
dongle: /dong´gl/, n.
[now obs.] A security or copy protection device for proprietary software consisting of a serialized EPROM and some drivers in a D-25 connector shell, which must be connected to an I/O port of the computer while the program is run. Programs that use a dongle query the port at startup and at programmed intervals thereafter, and terminate if it does not respond with the dongle's programmed validation code. Thus, users can make as many copies of the program as they want but must pay for each dongle. The first sighting of a dongle was in 1984, associated with a software product called PaperClip. The idea was clever, but it was initially a failure, as users disliked tying up a serial port this way. By 1993, dongles would typically pass data through the port and monitor for magic codes (and combinations of status lines) with minimal if any interference with devices further down the line — this innovation was necessary to allow daisy-chained dongles for multiple pieces of software. These devices have become rare as the industry has moved away from copy-protection schemes in general.
By extension, any physical electronic key or transferable ID required for a program to function. Common variations on this theme have used parallel or even joystick ports. See dongle-disk.
An adaptor cable mating a special edge-type connector on a PCMCIA or on-board Ethernet card to a standard 8p8c Ethernet jack. This usage seems to have surfaced in 1999 and is now dominant. Laptop owners curse these things because they're notoriously easy to lose and the vendors commonly charge extortionate prices for replacements.
[Note: in early 1992, advertising copy from Rainbow Technologies (a manufacturer of dongles) included a claim that the word derived from “Don Gall”, allegedly the inventor of the device. The company's receptionist will cheerfully tell you that the story is a myth invented for the ad copy. Nevertheless, I expect it to haunt my life as a lexicographer for at least the next ten years. :-( —ESR]
And:
dongle-disk: /don´gl disk/, n.
A special floppy disk that is required in order to perform some task. Some contain special coding that allows an application to identify it uniquely, others are special code that does something that normally-resident programs don't or can't. (For example, AT&T's “Unix PC” would only come up in root mode with a special boot disk.) Also called a key disk. See dongle.
Language Log
Language Log, the linguist blog covered dongle and agree current use is more general:
The current meaning for dongle seems to be something like "a self-contained device that plugs into a port on a computer that is normally used for connections to a separate external device"
The comments includes this from Peter Jackson that points out early dongles were far from dangly:
I was writing for MicroComputer Printout in 1982 (under a pen-name), but I don't think I was responsible for the origiinal OED citation. Which is a shame, as I always wanted to get one of those.
At the time, the only security dongle I'd come across was the solid and non-dangling RS232 block that came with AutoCAD, packed in the box under its hardback manual. It was already called a dongle by the time I came to write my first review of the package.
Best Answer
According to the Oxford English Dictionary, the etymology for trumpet is:
In addition, EtymOnline adds:
The etymology for triumphant, on the other hand, is:
For this, EtymOnline adds:
This does not suggest a direct relation between triumph and triumphant, as the words they can be traced back to differ. Perhaps the French trompette is indeed related to the Latin triumphant (thus giving an older and shared French root), but the OED provides no further history. So, because the two words can be traced back to different French roots, they have different etymologies in English. This does not mean that trompette and triumphant don't share a root in French, but as far as English roots go they are different in this regard.