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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Link to this Item
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 22, 2025.

Pages

Page 51

TANGENTS.

A Table of Natural Tangents to every Degree of the Quadrant.
De Tan. De Tan. De Tan. De Tan. De Tangents.
1 17 19 344 37 753 55 1428 73 3270
2 34 20 363 38 781 56 1482 74 3487
3 52 21 383 39 809 57 1559 75 3732
4 69 22 404 40 839 58 1600 76 4010
5 87 23 424 41 869 59 1664 77 4331
6 105 24 445 42 900 60 1732 78 4704
7 122 25 456 43 932 61 1804 79 5144
8 140 26 487 44 965 62 1880 80 5671
9 158 27 509 45 1000 63 1962 81 6313
10 176 28 531 46 1035 64 2650 82 7115
11 194 29 554 47 1072 65 2144 83 8144
12 212 30 577 48 1110 66 2246 84 9514
13 230 31 600 49 1150 67 2355 85 11430
14 249 32 624 50 1191 68 2475 86 14300
15 267 33 649 51 1234 69 2601 87 19081
16 286 34 674 52 1279 70 2747 88 28336
17 305 35 700 53 1327 71 2904 89 57289
18 324 36 726 54 1376 72 3177 90 0000000
                  Infinite.

A Tangent Line is always falling without the Quadrant, and is drawn at the end of a Semidiameter at Right Angles, as B 6 in the Fundamental Di∣agram, which is the Tangent of the Arch BC 60 Degrees, as in the Table of Tangents you shall find it to be 1732 equal parts, which take with your Compasses from A, when you have conti∣nued the Line beyond B, take 173 parts, and that will reach from B to G, the Tangent of 60 Degrees in the Scale, and 8 H is the Complement Tangent 30 Degrees 577 parts; therefore take 57 parts, it will reach from B to the length of 30 Degrees; and so of the rest.

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