We advise the _New Englander_ to subject in future the articles of its unfortunate correspondent, of whom it is evidently ashamed, to the revision of a professor of mathematics. FOOTNOTES: [15] _New Englander_, January, 1870. Article entitled, "Moral Results of the Romish System." _Handbuch der vergleichenden Statistik._ Leipzig. 1868. _Historisch-politische Blätter._ Neuntes Heft, Munich. 1867. Article entitled, "Allgemeine und confessionelle Statistik in Preussen." [16] Including kingdom of Saxony, Brunswick, Hanover, Mecklenburg-Schwerin, Saxe-Weimar-Eisenach, Saxe-Altenburg, Hesse, and Bremen. [17] Including Schleswig-Holstein. [18] Saxony, Brunswick, Hanover, Mecklenburg-Schwerin, Saxe-Weimar-Eisenach, Saxe-Altenburg, Hesse, and the city of Bremen. TO THE RAINBOW. All-glorious shape that fleet'st, wind-swept, Athwart the empurpled, pine-girt steep, That sinless, from thy birth hast wept, All-gladdening, till thy death must weep; That in eterne ablution still Thine innocence in shame dost shroud, And, washed where stain was none, dost fill With light thy penitential cloud; Illume with peace our glooming glen; O'er-arch with hope yon distant sea, To angels whispering, and to men, Of her whose lowlier sanctity In God's all-cleansing freshness shrined, Disclaimed all pureness of her own, And aye her lucent brow inclined, God's handmaid meek, before his throne. AUBREY DE VERE. THE FIRST ŒCUMENICAL COUNCIL OF THE VATICAN. NO. THREE.