who published the first map that showed the new world as separate from asia
Waldseemüller map While some maps after 1500 show, with ambiguity, an eastern coastline for Asia distinct from the Americas, the Waldseemüller map apparently indicates the existence of a new ocean between the trans-Atlantic regions of the Spanish discoveries and the Asia of Ptolemy and Marco Polo as exhibited on the 1492 Behaim globe. The first historical records of Europeans to set eyes on this ocean, the Pacific, are recorded as Vasco Núñez de Balboa in 1513. That is five to six years after Waldseemüller made his map. In addition, the map apparently predicts the width of South America at certain latitudes to within 70 miles.[4] However, as pointed out by E.G. Ravenstein, this is an illusory effect of the cordiform projection used by Waldseemüller, for when the map is laid out on a more familiar equirectangular projection and compared with others of the period also set out on that same projection there is little difference between them: this is particularly evident when the comparison is made with Johannes Schöner's 1515 globe.[5]
Eratosthenes He is best known for being the first person to calculate the circumference of the Earth, which he did by comparing altitudes of the mid-day sun at two places a known North-South distance apart. His calculation was remarkably accurate. He was also the first to calculate the tilt of the Earth's axis (again with remarkable accuracy). Additionally, he may have accurately calculated the distance from the Earth to the Sun and invented the leap day.[4] He created the first map of the world, incorporating parallels and meridians based on the available geographic knowledge of his era.