Printed by F.L. for Tho. Horne ... [and 2 others],
Text on page 241
Tome II. the of Kingdom of SIAM* i+i
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It is clear that in this difpofition not any tranfverfe, dor any Upright have two numbers, neither from the fame tranfverfe, nor from the fame upright of the naturalfquafce, aftd,that the diameter which we have not made by pofition, hasalfoonly OHenunrfber from every tranfverfe, and every upright of the natu--rarwaare. Tfeii is What M. de Mak^ett thought, without having had the leifure to fathom it further; and it is evidently the Principle, on which the Indian Method and that^fiSj^/are grounded, and all the others, of which 1 have fhaWn, isp3fl?bk to vary tfife Migitar ^Qares. And if cate be taken tfcA rte$M^elKiilare the ranks parallel to the diameters are defceivA , and thatithey havethek complements, k will be feen that Sachet's augmented fquare, and the Magical fquare have oppofite proprieties. In the augmented fquare,the bands which are the true ranks, are not Magical, and its defective ranks augmented with their complements are. On tire contrary, in the Magical fquare the ranks are Magical, and the defeelveranksand their complements do contain, every one, what a hand oTthe au^men|e JTquare contains.
To finifh what M. deMaltzfe* has thpufehty k is neceflary only to accommodate what we have faid concerning the choice of the capital cafes: and becaufe that this is eafie to do, I will fpeak no more of it.
[M-deJMkkteu thouglftlBiewife, that this principle night ferve to the evert fqleres, ahd tbls fstrne: but here likewife there is found difficulty in fhe execution, becadfe that in the even fauares, the defective ranks and their comple-
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