The general principles of playing any stringed instrument will apply equally to cello and bass. The LH fingers shorten strings in special places to create different notes for the RH to then execute either by bowing or plucking.
Size of instrument makes a huge difference to physical ease of playing and note response times also. As well as allowing the range of each instrument this affects the way composers write. The violin plays thousands of notes to our few. All instruments share the following -
(1) Best tone and clarity come from drawing the bow at 90 degrees to each string with steady contact points.
(2) Timing and coordination between hands has to be very good to avoid blurs and unwanted extra noises in the sounds
(3) The left hand has to work hard to articulate slurred passages clearly with good rythm
(4) The same parameters (variables) apply to creating the sound you want with the bow, such as bow speed,weight and distance from the bridge. Also bow quality, hair tension, amount of hair contact, brand of strings, brand of rosin, etc.
(5)The language used to write down the music on paper is the same.
(6) The same bowing patterns, articulations and ranges of dynamics speed and expression apply.
You can probably think of more.
The difference in physical size between cello and bass immediately means different seating requirements and yet there are basic guidelines in common. Keep an imaginary arrow pointing from your chest towards the bridge. Don't have the instrument neck too close to yours or the nut too high and too far back behind your head (to avoid twisting your torso and stiffening your neck and shoulder). The shorter cello string length means that the bow contact point is within easy reach. The down side of this can be that there is less room for the bow arm to manouver. The right wrist can easily become too pronated. The bass requires stretching down more for the bow contact point that will project best tone and range of expression. I think this arm movement blends shoulder, elbow, wrist and finger movements more naturally.
Shorter lighter strings closer together and a thinner neck make LH work much easier on cello. The lighter bow is much more manouverable too.The ease of playing and faster responses possible are reflected in the difficulty of parts written. The roles it plays in the string section also reflect that it has a baritone-through-to-tenor voice range (in human terms) that is more interesting as a soloist than bass. I think that the lower part of the bass range (the orchestral part?) is where the bass naturally sounds its best and many players want too pretty a sound in the higher range that might please them but is still is not as interesting to the listener. Keep it honest and earthy!!
Longer thicker heavier strings are required to slow down the frequencies of bass notes,
especially the E string (41.7 times per second?). Our bows are heavier and stronger, our rosin is stickier and yet the notes do not reach full tone for the first ten vibrations (demonstrated to me by Knut Guerttler on his computer). The open E string takes nearly 1/4 second for full tone. Over the range of the bass the mechanical sound of faster notes being started is often more audible than the body of tone that follows. Notes often decay more slowly than the cello too which can lead to spilling over the written note lengths into places not wanted.
If I am correct, once upon a time (in Leopold Mozart's time?) the double bass was more highly regarded than the cello. In Haydn's time there were about thirty double bass concertos in circulation, including one by him that has been lost. Since then cello pedagogy has taken off and is still ahead of double bass. Cello students seem to be much better prepared technically for their role and at an earlier age because they can start learning years before the bass on good sounding smaller instruments. They have a wider range of student repertoire available and generally end up better sight readers too. The flood of Chinese and Korean instruments have provided good tone and playability at a much, much cheaper price than the bass.
Yehudi Menuhin, famous violinist and teacher, commissioned books from leading teachers of the day. I would recommend William Pleeth's "Cello" (Menuhin Series), a paperback, not only for his philosophy of teaching and learning but also his chapters explaining technique, including reasons for how he sat to align his bow hold and move his bowing arm. This can be beautifully related to the way we bassists should set up our French bow hold and bow arm movements.
Would the student who borrowed my copy and failed to return it please confess!!!
DP