The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy.

About this Item

Title

Author

Sturmy, Samuel, 1633-1669.

Publication

London :: Printed by E. Cotes for G. Hurlock, W. Fisher, E. Thomas, and D. Page ...,

1669.

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Link to this Item

http://name.umdl.umich.edu/A61915.0001.001

Cite this Item

"The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A61915.0001.001. University of Michigan Library Digital Collections. Accessed June 22, 2025.

Pages

CASE VII. The Hypothenusal, and the Parallel of Longitude, and the Radius given, To find the Rhomb or Course Sailed.

IN the foregoing Triangle there is given the Hypothenusal or Distance Sailed, CB 478 Leagues, and the Right Angle CAB 90 deg. the Radius, and the Parallel of Longitude or Base 405 Leagues, to find the Course or Rhomb sailed, or the Angle ACB.

As the Hypothenusal or Distance sailed 478 CB	2, 679428
To the Right Angle CAB Radius or Sine of 90 deg.	10, 000000
So is the Parallel of Longitude, or Base AB 405 Leagues	12, 607455
To the Sine of the Angle of the Rhomb or Course sailed 58 or S. W. b. W. 1 deg. 45 Westerly	9, 928027

By the Lines of Sines and Numbers.

EXtend the Compasses from 478 in the Line of Numbers, to the Sine of 90 deg. the same Extent will reach from 405, to the Sine of 32 deg.

Or, Extend the Compasses from 478 to 405; the same Extent will reach from the Sine of 90, to the Sine of 32 deg. ACB, the Angle of the Rhomb or Course sailed, which was required.