37 multiplied by 3 gives 111, and 3 times 1 = 3
37 " 6 " 222, " 3 " 2 = 6
37 " 9 " 333, " 3 " 3 = 9
37 " 12 " 444, " 3 " 4 = 12
37 " 15 " 555, " 3 " 5 = 15
37 " 18 " 666, " 3 " 6 = 18
37 " 21 " 777, " 3 " 7 = 21
37 " 24 " 888, " 3 " 8 = 24
37 " 27 " 999, " 3 " 9 = 27
The singular property of numbers the most different, when added, to
produce the same sum, originated the use of magical squares for
talismans. Although the reason may be accounted for mathematically,
yet numerous authors have written concerning them, as though there
were something "uncanny" about them. But the most remarkable and
exhaustive treatise on the subject is that by a mathematician of
Dijon, which is entitled "TraitA(C) complet des CarrA(C)s magiques, pairs et
impairs, simple et composA(C)s, A Bordures, Compartiments, Croix,
Chassis, A%querres, Bandes dA(C)tachA(C)es, &c.; suivi d'un TraitA(C) des Cubes
magiques et d'un Essai sur les Cercles magiques; par M. Violle,
GA(C)omA"tre, Chevalier de St. Louis, avec Atlas de 54 grandes Feuilles,
comprenant 400 figures." Paris, 1837. 2 vols. 8vo., the first of 593
pages, the second of 616. Price 36 fr.