Certain astronomical conjunctions determined the selection of the fast-days, which in their total number amounted to nearly a quarter of the year.
The commoner conjunctions are a, ac, " and "; ond, eithr," but "; o, os, " if "; pan, " when "; tra, " while."
The successive entries of the moon and planets into the nakshatras (the ascertainment of which was of great astrological importance) were fixed by means of their conjunctions with the yogataras.
" He thinks that repetitions of similar conjunctions occur in Nature, the connexion of cause and effect only in abstraction.
We can calculate, by the help of the kinetic theory and the theory of chances, the frequency with which the necessary conjunctions of ions will occur, and show that the general law will be that the coagulative powers should be in the ratios of 1: x: x 2.
So again in determining the " import " of propositions, it is no accident that in all save existential propositions it is to the familiar rubrics of associationism - co-existence, sequence, causation and resemblance - that he refers for classification, while his general formula as to the conjunctions of connotations is associationist through and through.
The nerve of proof in the processes by which he establishes causal conjunctions of unlimited application is naturally thought to lie in the special canons of the several processes and the axioms of universal and uniform causation which form their background.
In the case of the planets it is the period between successive conjunctions of the same kind, inferior or superior, with the sun.
The annual mean motions, with the corresponding combinations, are as follows Jupiter: - n = 30° 349043 Saturn: - n' = 12.221133 2n=60 69809 5n'=61.10567 5n'-2n= o 40758 If we make a more accurate computation of the conjunctions from these data, we shall find that, in the general mean, the consecutive conjunctions take place when each planet has moved through an entire number of revolutions +242.7°.
The successive conjunctions following will be along CR 2, CS2, CQ3, &c., the law of progression being obvious.
The balancing of the series of forces will not be complete until the respective triplets of conjunctions have filled up the entire space between them.
In the Ephemerides published year by year, the times of new moon were given, together with the calculated intervals to the first visibility of the crescent, from which the beginning of each month was reckoned; the dates and circumstances of solar and lunar eclipses were predicted; and due information was supplied as to the forthcoming heliacal risings and settings, conjunctions and oppositions of the planets.
Romer, on the other hand, deserves full credit for originating the transit-circle and the prime vertical instrument; and he earned undying fame by his discovery of the finite velocity of light, made at Paris in 1675 by comparing his observations of the eclipses of Jupiter's satellites at the conjunctions and oppositions of the planet.