This page contains simulation slides for three L-C oscillators:  the 1940s cathode-coupled oscillator by Murray G. Crosby,  the 1970s emitter-coupled oscillator by  P.E. Sankaranarayanan, and a 1998 theremin oscillator by Arthur Harrison.  All these have a mutual grounding resistor, as opposed to a cross-coupled pair without a shared resistor (or directly grounded ).

The above image is from the 1942 patent, Cathode-Driven Oscillator, by Murray G. Crosby.  It is available here .   Crosby wrote an article describing the oscillator in the May 1946 issue of  Electronics available from World Radio History here .  The circuit was developed while Crosby worked for RCA Laboratories, before he founded Crosby Laboratories.   When the article was written, he was employed at the Paul Godley Company  (the famous Paul Godley, 2ZE,  of the transatlantic transmission test of 1921).

 In the UK, Frederick Butler published a November 1944 paper, Cathode-Coupled Oscillators, in Wireless Engineer available from World Radio History here .  

It must also be noted that in 1937, Alan D. Blumlein filed a patent for cathode-coupled push-pull amplifiers.  See US2185367, Thermionic Valve Amplifying Circuit granted Jan. 2, 1940.

There is more to say about both Blumlein and Butler under other topics.

Crosby (W2CSY) died in 1974, age 70.   An obituary in the Journal of the Audio Engineering Society is available here .  Another nice bio written for the occasion of the 1966 IEEE Mervin J. Kelly Award is available here .

See the Wikipedia article describing the Crosby FM radio system rejected by the FCC in 1961, in favor of the Zenith/GE system here .

The first slides below present the Crosby, RCA patented, cathode-coupled limiting amplifier, showing the negative transconductance which is the basis of the related L-C oscillator.

Crosby Cathode-Coupled Oscillator

An emitter-coupled pair by P.E. Sankaranarayanan:

Simulations for an Art Harrison theremin oscillator: