Question: Were the Apple I and the TRS-80 both sold by Apple?

Context articles: TRS-80
Apple II series
Apple I
Rear Guard (video game)
Sea Dragon (video game)
TRS-80 MC-10
Dung Beetles (video game)
Aster CT-80
Macintosh External Disk Drive
KoalaPad

The TRS-80 Micro Computer System (TRS-80; later known as the Model I to distinguish it from successors) is a desktop microcomputer launched in 1977 and sold by Tandy Corporation through their Radio Shack stores.
 The name is an abbreviation of "Tandy/Radio Shack, Z-80 microprocessor".
 It was one of the earliest mass-produced and mass-marketed retail personal computers.
The Apple II series (trademarked with square brackets as "Apple ][" and rendered on later models as "Apple //") is a family of home computers, one of the first highly successful mass-produced text command microcomputer products, designed primarily by Steve Wozniak, manufactured by Apple Computer (now Apple Inc.) and introduced in 1977 with the original Apple II.
 In terms of ease of use, features and expandability, the Apple II was a major technological advancement over its predecessor, the Apple I, a limited-production bare circuit board computer for electronics hobbyists that pioneered many features that made the Apple II a commercial success.
 Introduced at the West Coast Computer Faire on April 16, 1977, the Apple II was among the first successful personal computers; it launched the Apple company into a successful business (and allowed several related companies to start).
 Throughout the years, a number of models were sold, with the most popular model remaining relatively little changed into the 1990s.
 While primarily an 8-bit computer, by mid-run a 16-bit model was introduced.
Apple Computer 1, also known later as the Apple I, or Apple-1, is a desktop computer released by the Apple Computer Company (now Apple Inc.) in 1976.
 It was designed and hand-built by Steve Wozniak.
 Wozniak's friend Steve Jobs had the idea of selling the computer.
 The Apple I was Apple's first product, and to finance its creation, Jobs sold his only motorized means of transportation, a VW Microbus, for a few hundred dollars, and Wozniak sold his HP-65 calculator for $500; however, Wozniak said that Jobs planned to use his bicycle if necessary.
 It was demonstrated in July 1976 at the Homebrew Computer Club in Palo Alto, California.
Rear Guard is a game originally written for the 8-bit Atari computer and released in 1981 by Adventure International.
 Neil Larimer created the game with assistance from Sparky Starks; it was subsequently ported by other programmers to the Apple II, TRS-80, and TRS-80 Color Computer computer platforms.
Sea Dragon is a side-scrolling game for the TRS-80 computer, written by Wayne Westmoreland and Terry Gilman, and released in 1982 by Adventure International.
 It was one of the most popular games for the TRS-80.
 Its success on the TRS-80 led to ports to the Apple II, Atari 8-bit family, Commodore 64, IBM PC, and the TRS-80 Color Computer.
The TRS-80 MC-10 microcomputer is a lesser-known member of the TRS-80 line of home computers, produced by Tandy Corporation in the early 1980s and sold through their RadioShack chain of electronics stores.
 It was apparently designed as a low-cost alternative to Tandy's own TRS-80 Color Computer to compete with entry-level machines that had previously dominated the market, such as the Commodore VIC-20 and Sinclair ZX81.
Dung Beetles is an Apple II computer game by Bob Bishop, released in 1982 by Datasoft.
 The game was ported to Atari 8-bit computers, and also to the TRS-80 Color Computer, where it was distributed by Tandy.
 On the Color Computer, it was renamed Mega-Bug; however, some copies were sold as Dung Beetles.
 Later versions for both the Apple II and Atari were named Tumble Bugs; also the Atari version was renamed Magneto Bugs for the 1983 re-release by Gentry Software.
 In Australia, the game was re-branded "Bug Attack".
The Aster CT-80, an early (1982) home/personal computer developed by the small Dutch company MCP (later renamed to Aster Computers), was sold in its first incarnation as a kit for hobbyists.
 Later it was sold ready to use.
 It consisted of several Eurocard PCB's with DIN 41612 connectors, and a backplane all based on a 19-inch rack configuration.
 It was the first commercially available Dutch personal/home computer.
 The Aster computer could use the software written for the popular Tandy TRS-80 computer while fixing many of the problems of that computer, but it could also run CP/M software, with a big amount of free memory Transient Program Area, (TPA) and a full 80×25 display, and it could be used as a Videotext terminal.
 Although the Aster was a clone of the TRS-80 Model I it was in fact more compatible with the TRS-80 Model III, and ran all the software of these systems including games.
 It also had a built in speaker which was compatible with such games software.
The Macintosh External Disk Drive is the original of a series of external 3.5" floppy disk drives manufactured and sold by Apple Computer exclusively for the Macintosh series of computers introduced in January 1984.
 Later, Apple would unify their external drives to work cross-platform between the Macintosh and Apple II product lines, dropping the name "Macintosh" from the drives.
 Though Apple had been producing external floppy disk drives prior to 1984, they were exclusively developed for the Apple II, III and Lisa computers using the industry standard 5.25" flexible disk format.
 The Macintosh external drives were the first to widely introduce Sony's new 3.5" rigid disk standard commercially and throughout their product line.
 Apple produced only one external 3.5" drive exclusively for use with the Apple II series called the "Apple UniDisk 3.5".
The KoalaPad is a graphics tablet produced from 1983 by U.S. company Koala Technologies for the Apple II, TRS-80 Color Computer (as the TRS-80 Touch Pad), Atari 8-bit family, and Commodore 64, as well as for the IBM PC.