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.

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Title
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.
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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http://name.umdl.umich.edu/A61915.0001.001
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"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 15, 2024.

Pages

Page 163

QUEST. IV. Two Ships Sailed from one Port: The first Sails S. S. W. a certain Distance; then altering her Course, she Sails due West 92 Leagues: The second Ship Sailing 120 Leagues, meets with the first Ship. I demand the second Ship's Course and Rhomb, and how many Leagues the first Ship Sailed S. S. W.

DRaw the first Ship's Rhomb from A unto E, being S. S. W. then lay her Distance sailed West 92 Leagues from A unto C, and from C draw a S. S. W. Course, as CD continued: Next take 120 Leagues, and lay it from A, so that it shall cut the continued Line in D: so drawing AD, you shall have the second Ship's Rhomb, near W. S. W. Lastly, measuring CD equal to AB, you shall find it to be 49 ½ Leagues that the first Ship sailed S. S. W.

[illustration] geometrical diagram

For the Course,

As the Side AD 120 Leagues, co: ar. 792082
Is to the Sine of the Angle at B 67 deg. 30 min. 996562
So is the Sine of the Side BD 92 Leagues 196379
To the Sine of the Angle BAD 45 deg. 6 min. 985023

Unto which add the Angle FAB 22 deg. 30 min. you have the second Ship's Rhomb 67 deg. 36 min. being near W. S. W. whose Complement is the Angle ADB 22 deg. 24 min.

For the Distance,

As the Angle BAD 45 deg. 6 min. co. ar. 014976
Is to the Side BD 92 Leagues 196379
So is the Angle ABD 22 deg. 24 min. 958101
To the Side AB 49 5/10 Leagues required 169456

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