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 21, 2025.

Pages

SINES.

NOte, That a Sine falls al∣ways within the Quadrant of a Circle, as CD, which is the Sine of the Arch BC 60 Degrees; and by the Table of Natural Sines, to every Degr. of the Quadrant which I have fitted for this purpose, whose Radius is 1000, you shall find the Sine of 60 deg. to be 86.6. I take therefore with my Compasses 86 from my Scale of Equal Parts, and set them from A towards 8 in the Line of Sines for 60 Degrees, where the Radius of the Circle is AB, and CE is the Comple∣ment thereof, or Sine of 30 Degrees of the Arch C 8, the Number in the Table an∣swering 30 Degrees is 500; take therefore with your Compasses 50 equal Parts of A B, and lay it from A upon the Line of Sines for 30 towards 8; and so of the rest.

A Table of Natural Sines to the Radius of 1000.
De Sines. De Sines. De Sines. De Sines. De Sines. De Sines.
1 17 16 275 31 515 46 719 61 874 76 970
2 34 17 292 32 529 47 731 62 888 77 974
3 52 18 309 33 544 48 743 63 891 78 978
4 69 19 325 34 559 49 754 64 898 79 981
5 87 20 342 35 573 50 766 65 906 80 984
6 104 21 358 36 587 51 777 66 913 81 987
7 124 22 374 37 601 52 788 67 920 82 990
8 139 23 390 38 615 53 798 68 927 83 992
9 156 24 406 39 629 54 809 69 933 84 994
10 178 25 422 40 642 55 819 70 939 85 996
11 190 26 438 41 656 56 829 71 945 86 997
12 207 27 453 42 669 57 838 72 951 87 998
13 224 28 469 43 682 58 848 73 956 88 999
14 241 29 484 44 694 59 857 74 961 89 999
15 258 30 500 45 707 60 866 75 965 90 1000

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