Ah, transitive, yes. Not being a native English speaker, I don't have all the grammatical terms at the tip of my tongue.
And yes, it's about the Latin. But IIRC, the Latin-derived -nt suffix does carry the inherent meaning of "causing something else to X" - which means you can't blindly apply it to any verb. I really should refresh my Latin, though. It's been a long time since I used it.
It's been a few years since I had any Latin, so this may be wrong. If I recall correctly:
Start with a verb, say your usual
amo, amas, amat (I love, you love, he/she/it loves); the infinitive is
amare (to love) (I think). We then form the adjective
amans, (loving). Being a Latin adjective,
amans must decline; these verb-formations generally end up third-declension,
amans, amantis. I think. You can then go on to get a noun, something-that-loves -- I think
amans, amantis can work for that, too; Latin adjectives stand in for nouns relatively easily. On the other hand,
amat- is an adjective root meaning 'loved'. Of course
amo, amare isn't one of the verbs which made it into English -- except, of course, as 'something to be loved',
amanda.
So,
accelero, accelerare is a Latin verb transitive meaning, roughly, to hasten, to speed up (an object). Something doing the hastening is
accelerans, accelerantis, which eventually yields the English noun accelerant.
But of course it's not consistent. Nothing in English is consistent.
Mathematics is a collective noun, a discipline, practiced by mathematicians. Mathematic is not a word. The adjective is mathematical. Statistics is a collective noun, a discipline, practiced by statisticians. It is also the plural of the noun statistic, a piece of information. The adjective is statistical. Physics is a collective noun, a discipline, practiced by physicists. Physicians are something else, practicing medicine, although they might archaically have been said to practice physic and generally study physiology. Physical is a much more general adjective. Statistic is a noun, physic was a noun, psychiatric is an adjective, ballistic is an adjective, mystic is either but the discipline is mysticism, mathematic isn't a word. Egotistical is an adjective; what is egotistic?
Yeah, I meant to go to bed twenty minutes ago. Can you tell I spend too much time thinking about this stuff?