In conformity with the foregoing remarks, when it may happen that the prorogatory and preceding place may be actually on the oriental horizon, it will be proper to reckon, at once, the ascensional times which may intervene until the meeting of the degrees; because, after the same number of equatorial times, the anæreta will arrive at the prorogatory place; that is to say, at the oriental horizon. Should the prorogatory place be found on the meridian, the whole number of degrees by right ascension, in which the whole intercepted arc will transit the meridian, must then be taken. And if the prorogatory place be on the occidental horizon, the number of descensions, in which every degree of the distance will be carried down (or, in other words, the number of ascensions, in which their opposite degrees will ascend), is in that case to be reckoned.[160] [156] “_Ascensional times._” These are, in other words, the number of degrees of the equator, equivalent to a certain number of zodiacal degrees, ascending in any particular latitude. They are also otherwise called the _oblique ascension_ of such zodiacal degrees. [157] “_Equatorial times_” here signify degrees of the equator, by which all time is measured. [158] That is to say, of the preceding and of the succeeding body of degree. [159] Which may be intercepted in the arc between them. [160] This number is that of the oblique descensional times of the intercepted arc, or of the oblique ascensional times of the arc opposite to it. The whole of the instructions in this paragraph are fully exemplified in the following chapter. When, however, a prorogatory and preceding place may not be situated on any one of the three aforesaid points, but in some intermediate station, it must be observed that _other_ times[161] will then bring the succeeding place to the preceding one; and _not_ the times of ascension or descension, or transit of the mid-heaven, as above spoken of. For any places whatever, which have one particular position, on the same degree, in regard to the horizon and meridian, are alike and identical. This is the case, for instance, with all places lying on any one of those semicircles which are drawn through the arcs of the meridian and horizon; and each of these semicircles (all of which have position at the same equal distance from each other) marks one temporal hour[162]; and, as the time occupied in proceeding through the places[163] above described, and arriving at the same position of the horizon and meridian, is rendered unequal to and different from the time of transits in the zodiac; so, also, the transits of other spaces are made, agreeably to their position, in time again distinct from this. [161] Or, times to be reckoned in another manner.