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
Sturmy, Samuel, 1633-1669.
IV. How to make the Scale or Line of Artificial Sines to 90 Deg. and Minutes fit to be set thereon.
HOw to make this Line, was shewn by making the last; only that is sufficient to 45 Degrees, and this must be to 90 Degrees. And if your Line of Equal Parts be divided into 100, or as they be reckoned 1000, you may omit the last Fi∣gure of the Number: But if you number the Scale to 2000, as the Tables are made to, if you would set off the Sine of 30 Degrees, the Parts answering thereunto is 1698; therefore take off your Scale of Equal Parts with your Compasses 169, and it will reach from the beginning, to 30 Degrees on the Line of Sines.
So I hope you understand how to do the rest, it being made so plain and easie for the meanest Capacity, by what hath been writ already.
Page 61Deg. | Deg. | Deg. | Deg. | Deg. | Deg. | Deg. | Deg. | Deg. | Deg. | Deg. | |
Sine parts. | Sine parts. | Sine parts. | Sine parts. | Sine parts. | Sine parts. | Sine parts. | Sine parts. | Sine parts. | Sine parts. | Sine parts. | |
Minutes. | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
0 | 00 | 241 | 542 | 718 | 843 | 940 | 1019 | 1085 | 1143 | 1194 | 1239 |
10 | 46 | 308 | 577 | 742 | 861 | 954 | 1031 | 1096 | 1152 | 1202 | 1246 |
20 | 76 | 366 | 609 | 764 | 878 | 968 | 1042 | 1105 | 1161 | 1209 | 1253 |
30 | 94 | 417 | 639 | 785 | 894 | 981 | 1053 | 1115 | 1169 | 1217 | 1260 |
40 | 463 | 667 | 805 | 910 | 994 | 1064 | 1125 | 1178 | 1225 | 1267 | |
50 | 162 | 505 | 693 | 825 | 925 | 1007 | 1075 | 1134 | 1186 | 1232 | 1274 |
Min. | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 |
0 | 1280 | 1317 | 1352 | 1383 | 1412 | 1440 | 1465 | 1489 | 1512 | 1534 | 1554 |
10 | 1287 | 1323 | 1357 | 1388 | 1417 | 1444 | 1470 | 1493 | 1516 | 1537 | 1557 |
20 | 1293 | 1329 | 1362 | 1393 | 1422 | 1449 | 1474 | 1497 | 1519 | 1540 | 1560 |
30 | 1299 | 1335 | 1368 | 1398 | 1426 | 1453 | 1478 | 1501 | 1523 | 1544 | 1564 |
40 | 1305 | 1340 | 1373 | 1403 | 1431 | 1457 | 1482 | 1505 | 1527 | 1547 | 1567 |
50 | 1312 | 1346 | 1378 | 1408 | 1435 | 1461 | 1486 | 1508 | 1530 | 1551 | 1570 |
Min. | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 |
0 | 1573 | 1591 | 1609 | 1625 | 1641 | 1657 | 1671 | 1685 | 1698 | 1711 | 1724 |
10 | 1576 | 1594 | 1612 | 1628 | 1644 | 1659 | 1673 | 1687 | |||
20 | 1579 | 1597 | 1614 | 1631 | 1646 | 1661 | 1676 | 1690 | 1703 | 1716 | 1728 |
30 | 1582 | 1600 | 1617 | 1633 | 1649 | 1664 | 1678 | 1692 | |||
40 | 1585 | 1603 | 1620 | 1636 | 1652 | 1666 | 1680 | 1694 | 1707 | 1720 | 1732 |
50 | 1588 | 1606 | 1623 | 1639 | 1654 | 1669 | 1683 | 1696 | |||
Min. | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 |
0 | 1736 | 1747 | 1758 | 1769 | 1779 | 1789 | 1798 | 1808 | 1816 | 1825 | 1833 |
20 | 1739 | 1751 | 1762 | 1772 | 1782 | 1792 | 1801 | ||||
40 | 1743 | 1754 | 1765 | 1776 | 1786 | 1795 | 1805 | ||||
Min. | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 |
0 | 1841 | 1849 | 1856 | 1864 | 1871 | 1881 | 1884 | 1890 | 1896 | 1902 | 1907 |
Min. | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 |
0 | 1913 | 1918 | 1923 | 1928 | 1633 | 1937 | 1941 | 1945 | 1949 | 1953 | 1957 |
Min. | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 | 75 | 76 |
0 | 1960 | 1964 | 1967 | 1970 | 1972 | 1975 | 1978 | 1980 | 198• | 1984 | 1986 |
Min. | 86 | ||||||||||
77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | 85 | 87 | 90 | |
0 | 1988 | 1990 | 1991 | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 | 1998 | 2000 |