The reason may bee explained in this Figure: wee will imagine
EF to bee the lesser, EG the greater la∣titude. There will remaine an Arch of the Meridian FG: which being multi∣plied by 60 (being part of a great circle, will make the nūber of miles answerable, to that distance. For an example we will take two Citties of England,
Oxford and
Yorke. The latitude
Oxford, we take to be 31 degrees 30 minutes: of
Yorke 54 degrees 30 minutes. The lesser latitude subtracted from the greater, there will remaine three degrees, which being multiplied by 60, will render 180
Italian-miles, the Distance of thse two places.
2 If two places in latitude only distant, be situate in diuerse kindes of latitude, adde the latitude of the one to the other, and the whole summe shall be the distance.
As for example, in the former Diagram, imagining as in the former case BD to be the Meridian of those distant places, and AC the Equatour, we will suppose the one place to bee situate towards the North Pole, as G, the other towards the South, as in H: then as appeares by sense, will the distance bee the Arch of the Meridian GH, whereof GE, and EH, are parts, whereof it is compounded: wherefore it must needs follow that those parts added together make the whole distance: for example we will take Bellograde in Europe, and the Cape of good hope in Afri∣ca, which haue neere the same longitude, to wit, 48 degrees 30