48 Sriya-Sikthank¢ The method employed in this process for finding the diameter of the earth's shadow upon the 1¥oon's neau orbit may be explained by the uid f the foll७wing figure (1aig. 20) As in the lask figure, let E Zepresent he outh 'x place, s und I points in the mean orbits of the sun and noon, and Mf the moon's actual place. let the be the sun'+ corrected diameter, or the part of his nean orbib which is disk at its actual the eye', xcertting aux dtip°ted in the preceding }s$ogy, १nd et ( \ye the earth's liarneterhrough F and 3 dxaw Fig. 20. J]} and tw(parallel S2 !p] • + m/ ( {h/1 : १ b +he inmeter of the shellow wh "; the Fron (clually e] rs i . The value of तR evidently equatl» {y (on (3)-({ •y}) tnd the value of a + g may be found by 1he proportion Fe (or ES) : + ४ + + (b + " - [F } (o# ]M/ a g| But the Hindu system provides no methor of meaning the angular value of quantities २१: the distance: M]. no }oes it captain the value if }} } itself : and as, in the last proe:88, the diamnote of the moon was reduced , for measurement, {& ja Vaw | tly city1 EMBJ t be onals (D) nensurate with it, all the data of this process must be similarly modified. 'WIat is to say, the proportion ]EM। : DM : : fy : f¢ -substituting, us before, the trutio of the moonrican to no type notion for that of EM1 ’ to EM --give 'g', which the text cell« %he 8te: the word means iter: n:dl', Pyrami ! do ot stee precisely hr: it comes to be cmployed to desigmate the quantity g', and have translated it, for lack of b bet/f¥ ¢crm, and in analogy with the language of the text especting the diameters of the sun aud moo1 corrected jatrapez छf the earth I is also evident thnt EM? : fa + y : JFM : /'}' + g'; hence, substituting the latter of these Jatio3 fo' he former in our first }roportion, nna inverting the middle terms, we have ES : EM : : t¢ G : 'A' + g & Once move, now, we have a substitution of ratioA, ES: IMi being replaced by the ratio of th¢ ¥uu's zean diameter to that of the moon. In this
