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After these come two others, of which the half-circumference, the diameter, has 12 half-degrees; and with them is seen another Canopus. To these succeed six other most beautiful and very bright stars, beyond all the others of the eighth sphere, which, in the superficies of the heaven, have half the circumference, the diameter 32°, and with them is one black Canopus of immense size, seen in the Milky Way, and they have this shape when they are on the meridian:—

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I have known many other very beautiful stars, which I have diligently noted down, and have described very well in a certain little book describing this my navigation, which at present is in the possession of that Most Serene King, and I hope he will restore it to me. In that hemisphere I have seen things not compatible with the opinions of philosophers. Twice I have seen a white rainbow towards the middle of the night, which was not only observed by me, but also by all the sailors. Likewise we often saw the new moon on the day on which it is in conjunction with the sun. Every night, in that part of the heavens of which we speak, there were innumerable vapours and burning meteors. I have told you, a little way back, that, in the hemisphere of which we are speaking, it is not a complete hemisphere in respect to ours, because it does not take that form so that it may be properly called so.

Therefore, as I have said, from Lisbon, whence we started, the distance from the equinoctial line is 39°, and we navigated beyond the equinoctial line to 50°, which together make 90°, which is one quarter of a great circle, according to the true measurement handed down to us by the ancients, so that it is manifest that we must have navigated over a fourth part of the earth. By this reasoning, we who inhabit Lisbon, at a distance of 39° from the equinoctial line in north latitude, are to those who live under 50° beyond the same line, in meridional length, angularly 5° on a transverse line. I will explain this more clearly: a perpendicular line, while we stand upright, if suspended from a point of the heavens exactly vertical, hangs over our heads; but it hangs over them sideways. Thus, while we are on a right line, they are on a transverse line. An orthogonal triangle is thus formed, of which we have the right line, but the base and hypotenuse to them seems the vertical line, as in this figure it will appear. This will suffice as regards cosmography.

Vertex[ 127] of our heads.
Vertex of their heads.[!--IMG--]

Us.
Them.

These are the most notable things that I have seen in this my last navigation, or, as I call it, the third voyage. For the other two voyages were made by order of the Most Serene King of Spain to the west, in which I noted many wonderful works of God, our Creator; and if I should have time, I intend to collect all these singular and wonderful things into a geographical or cosmographical book, that my record may live with future generations; and the immense work of the omnipotent God will be known, in parts still unknown, but known to us. I also pray that the most merciful God will prolong my life that, with His good grace, I may be able to make the best disposition of this my wish. I keep the other two journeys in my sanctuary, and the Most Serene King restoring to me the third journey, I intend to return to peace and my country. There, in consultation with learned persons, and comforted and aided by friends, I shall be able to complete my work.

I ask your pardon for not having sooner been able to send you this my last navigation, as I had promised in my former letters. I believe that you will understand the cause, which was that I could not get the books from this Most Serene King. I think of undertaking a fourth voyage in the same direction, and promise is already made of two ships with their armaments, in which I may seek new regions of the East on a course called Africus. In which journey I hope much to do God honour, to be of service to this kingdom, to secure repute for my old age, and I expect no other result with the permission of this Most Serene King. May God permit what is for the best, and you shall be informed of what happens.