[409] “This distance,” he remarks, “calculated geometrically upon the ratio that three and one seventh times the diameter of a circle is equal to its circumference, gives 92⁵⁴¹⁶⁴⁄₄₇₂₇₃₃ degrees. For if we take 114⁶⁄₁₁ degrees as the chord of an arc of a great circle, we have by the same ratio 95²⁴⁸³⁄₄₉₅₀ degrees as the chord of an arc on the parallel of 34°, being that on which we first made land, and 300²³³⁄₁₅₇₅ degrees as the circumference of the whole circle, passing through this plane. Allowing then, as actual observations show, that 62½ terrestrial miles correspond to a celestial degree, we find the whole circumference of 300²³³⁄₁₅₇₅ degrees, as just given, to be 18,759³¹⁄₁₂₆ miles, which, divided by 360, makes the length of a degree of longitude on the parallel of 34° to be 52⁹⁸⁹⁄₉₀₇₂ miles, and that is the true measure. Therefore, by a right line to the said rock which stands in 32°, we have to calculate the distance, the said 1,200 leagues which we have found, from the thirty-fourth parallel, from west to east, hence I should have run 92⁵⁴¹⁶⁴⁄₄₇₂₇₃₃ degrees, and this many therefore we have sailed to the West, which was not known to the ancients.” 114⁶⁄₁₁ × 3¹⁄₇ = 360. 300²³³⁄₁₅₇₅ × 7 ÷ 22 = 95²⁴⁸³⁄₄₉₅₀. 300²³³⁄₁₅₇₅ × 62½ = 18,759³¹⁄₁₂₆. 18,759³¹⁄₁₂₆ ÷ 560 = 52⁹⁸⁹⁄₉₀₇₂. 4,800 by 52⁹⁸⁹⁄₉₀₇₂ = 92⁵⁴¹⁶⁴⁄₄₇₂₇₃₃. [410] “The Spaniards have sailed south beyond the equator, on a meridian 20³²⁰⁶⁰/₄₇₂₈₁ degrees west of the Fortunate Islands to the latitude of 54° and there still found land. Turning about they steered northward on the same meridian and along the coast to the eighth parallel, and then along the coast more to the west, and north to the latitude of 21° [31°?], without finding a termination to the continent. They estimated the distance run as 89²⁹⁷⁰⁹/₄₆₇₈₁ which added to the 20³²⁰⁶⁰/₄₇₂₈₁ first run make 110¹⁴⁴⁸⁸/₄₆₇₈₁, but this may vary somewhat from the truth. We did not make this voyage, and therefore cannot speak from experience. We calculated it geometrically from the observations furnished by many navigators, who have made the voyage and affirm the distance to be 1600 leagues, due allowance being made for the deviations of the ship from a straight course by reason of contrary winds. I hope that we shall now obtain accurate information on these points, by new voyages to be made on the same coasts.”—_Vide_ Maiollo map of 1527. [411] Verrazzano’s argument is based upon the supposition that the extent of the land of the new continent was greater than it really was, for at this time the Pacific coast of the New Land had not been explored. Verrazzano believed that the New World extended much farther westward than it does. [412] Tierra del Fuego, south of the Strait of Magellan, had not yet been explored, and it was not known how far it extended, or in what direction. [413] The number of tons is not mentioned.