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CUBIC SYSTEM. 17 Eia. 24. 57. In the form kJcJiJi (fig. 24), ¥ + 2 hJc cos a = cost = 2/i 2 + ¥ ’ V — 2 hk 2k‘ + ¥' 90° O'. a combination of the forms 100 and Jchh, three faces l , forming the solid angle in which the three edges a > a ppear upon each of the angles of loo. 122.100 = 70° 32', 122,010 = 48° ll', 122,001 = 48° ll'. 133.100 = 76° 44', 133,010 = 46° 30', 133,001 = 46° 30'. 233.100 = 64° 46', 233,010 = 60° 14', 233,001 = 60° 14'. ., a combination of the forms 100 and kMJi, three faces of o latter, forming the solid angle in which the three edges meet, appear upon each alternate angle of loo. In a combination of the forms ill and Jchh, the pairs of aces of the latter that intersect in n, truncate the edges of ill. 122,111 = 16° 48'. 133,111 = 22° O'. 233,111 = 10° l'. Fia. 25. . ,r >9. The form Jikl (fig, 26) has forty- eight faces. COSD = ¥ + ¥ + I 2 ’ COSE = 2 ^~ ^ ¥ + ¥ + I 2 ’ cos a = ¥ + ¥ + I 2 ' In the form 321, d = 31° o', In the form 431, d = 22° 37', In the form 421, x> = 25° 13', In the form 731, n = 14° 68', E = 21° 47', a = 21° 47'. E = 15° 67', a = 32° 12'. E = 36° 67', a = 17° 45'. F = 43° 13', a = 21° 13'.