! Plutary conjunctions 197 handed down by tradition (ekhpruddhiko) : bot, he adds, owing to the fact that the length of the hypotheruss is not calculated in the third proceSE, that for inding finally the equation of the centre (wuduboPra ) and that that hypothetuBo cannoy therefore be referred to here as known modern ter५ the first member of the compound (tri) ae interprr;understand an abbreviation fo¥ •f edius ’’ (t) !i), and translate it १ccordingly. We must confess that he other interpretation Berns to is zo be powerfully supported by both the letter of the text und the reason of the matter . The substitution of ani for trilyi in shell 0 : nnection is quite too violent to be borue, nor do we get why half the surn of radius and the fourth hypothenuse should be taken s representing the planet's true distance, rather than the fourth hypothenuse alone, which was employed (see above, 1? 6658) in calculating the latitude of Ahe planets, On the other hand there is 2eason for १५dopting as he relative vane 3 a planet's true disus the average, or half the sumof the third hypothenuse. or the planet's distance as affected by the eccentricity of its orbit, and the tourna, or its distance ag aftected by the motion of the earth in her orbit There seems to us good reason, therefore, to suspect that were 14-nd with it, probably, also verse 43-~is an inutsion into the Szya-Siddhईnt, from some other systen, which did not make the grossly eroueous assumption, pointed out 1under i. 39, of the equality of the sine of mournaly in the epicycle (bhajajyjphere) with the size of he equatio2, but in which the hypothe nus and the Eine of the equation won duly ealleulated in the process for finding the equation of the apsis ( W¢8}httakerver) as well as in thax for finding the equation of the conjunction (egirn karta}} 5 Exlimit. pon the flatlow-ground, the planet at the externity of its alhadow Reversed : it is viewel at he apex of the gnomon in its nmirror. As a practical aest of the accuracy of his calculations, or as a con. vincing proof to the pupil or other pason of his knowledge and skill, the teacher is heus directed to set up a gnomon upon ground properly prepared for exhibiting the shadowand to calculate and lay of from the base = the gmonson, but in the opposite to the true direction, the shadow which a planet would east a6 = jven time upon placing, then, a horizontal mirror at the externity of the shadowthe reflected image of the planet's disk will be seen in it at the given tinme by an eye placed at the apex of the gOO. The principle of the experiment is clearly coTeot, and the rules and proceAxes tought in the second and third choplets afford the mesD> of carrying it out, since from th•m the shadow which any stax would east had it, light onough, may be a versily determined by that which the sun actually casts. As no ease of precisely this character hal hitherto been
