[169] That is to say, of the oblique ascension, which is here required to be reckoned; because the prorogatory and preceding place is in the ascendant. _Vide_ p. 95, and Note ² in p. 94. And the first point of Gemini, on arriving at the ascendant, will be distant from the mid-heaven 102° 39′ by right ascension; the 13th degree of Aquarius being then in culmination in the prescribed latitude. The oblique ascensions in the latitude 30° 22′ N. are also shown in the extract referred to in the preceding note: and it thereby appears, that Aries and Taurus ascend in 45° 5′, instead of 46°. [170] Or, rather, 57° 44′—by right ascension.—_Vide_ extract above referred to. [171] _Vide_ p. 95. [172] Or on the cusp of the 7th House. [173] Or, rather, 32° 16′—by right ascension again.—_Vide_ extract as before. [174] By right ascension. The amount according to the Table is, however, 102° 39′, as before stated. [175] On which the 10th degree of Virgo will then be posited. [176] By oblique descension and ascension: _Vide_ p. 95.—The Table shows the amount to be 70° 23′. Again, let the first point of Aries have another position, not in any angle,[177] but, for instance, at the distance of three temporal hours past the meridian; so that the 18th degree of Taurus may be on the mid-heaven, and the first point of Gemini be approaching the mid-heaven, at the distance of thirteen equatorial times. The seventeen times must, therefore, be again multiplied by the three hours, and the first point of Gemini, at its second position, will be found to be past the meridian, at the distance of 51 times.[178] The distance of 13 times of the first position and 51 times of the second position are then both to be taken; and they will produce 64 times. In the former instances the prorogatory place performed in the same succession; viz. occupying 46 times in coming to the ascendant, 58 in coming to the mid-heaven, and 70 in coming to the west; so that the present number of times, depending on the intermediate position between the mid-heaven and the west, and being 64, also differs from each of the other numbers, in proportion to the three hours’ difference of position. For, in the other cases which proceeded by quadrants,[179] according to the angles, the times progressively differed by twelve, but, in the present case of a minor distance of three hours, they differ by six.[180] [177] In reference to p. 95, and Note ¹ in the same page. [178] The 18th degree of Cancer being then in culmination. [179] Or semi-diurnal arcs, each equal to six temporal hours. [180] The amount of the progressive difference of the times of prorogation, as here mentioned, is of course only applicable to the parallel of declination of the first point of Gemini, in the latitude before quoted. It must necessarily vary in all other parallels of declination, and also in all other latitudes.