I'Cliy, l'lldi me axes w-iii ctiway uc uy pci jjciiuhju-lars drawn from all the lateral solid angles, His theory has. also led him to discover in a variety of crystals geometrical properties, which must 'be highly gratifying to geometers^ But the great advantage to be derived from it is, that it enables us with the fewest possible 4ata to calculate .the' crys-C talline forms just as astronomers do the motions of the heavens. By the very means'by which die latter determine the future motions of the heavens, the Abbe decides which forms arc possible and which are impossible. It is thus by bis simple and.general law, of crystallization, ff the number: of the'ranges' of the subtractive particles must always be a commensurable quantity,” that he has demonstrated the regular dodecaedron.-and- the- regular icosaedron to be impossible forms in mineralogy. * As the immortal Newton*