It being the Side Z P that is required, forasmuch as that is an Arch of the Meridian Circle, you have no more to doe but to take the distance Z P in your Compasses, and measure it up∣on your Line of Chords; which being done, you will find it will contain 38 degr. 30 m. the Complement of the Latitude, which taken from 90 degr. leaves 51 degr. 30 m. the Latitude it self.
By the Solution of the foregoing Propositions, both by Trigono∣metricall Calculation by the Canons of Sines and Tangents, and also by the Projecting of the Sphere, you may easily discern the facility of the one above the other, namely, that of Projecti∣on; forasmuch as those Propositions which by Calculation are most troublesome, are by the Projective way most easie.—For, here is no need of letting fall Perpendiculars to reduce the Ob∣lique Triangle into two Right-angled Triangles, and so making of two works for solving of one Problem. Besides, the Projection renders every Triangle so naturally to the eye, that they are re∣solved (as it were) by looking on them.—Many more Exam∣ples I might have given upon this one Projection, but I see the Scheme grow too full of Lines and Letters, that makes me here break off. And now I will shew how the ingenious young Sea∣man may apply these Propositions to his use at Sea.