Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.

PROP. V. Two Ships sets sail from two Ports, which lie N. and South of each other, the one sails from the Northermost Port 72 29'/100, and then meets she other Ship, which came from the Southermost Port, on a N. W. Course, and had sailed from thence 56 80'/100 I demand the Rumb on which the first ship made her way, and also the Distance be∣tween the two Ports?

In the Triangle ADE, let A be the Souther∣most* 1.1 Port, AD the Course and way of the second Ship N. W. 56 80'/100, let E be the Norther∣most Port, ED the Course and Way of the other Ship 72 29'/100, and D the Place where they both meet.

1. To find the Rumb on which the first Ship sailed, say,

As Log. cr. DE 72 29/100 Minutes,

To S. of V. at A 45° 00'.

So is Log. cr. DA 56 80/100 Minutes,

To S. of V. at E 33° 45', which sheweth the Course of the first Ship to be S. W. by South.

2. To find the Distance between the two* 1.2 Ports A and E, say,

As S. of V. at A 45° 00',

To Log. cr. DE 72 29/100 Minutes,

So is S. of V. at D 101° 15',

To Log. cr. EA 100', which is the required Distance.

Notes

• * 1.1

  Fig. 47.
• * 1.2

  Fig. 47.