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
The Arithmetical way.
ABq × CD / 550 = 21 38/100 foot of timber in the Cone Piece.
And by the former Rule you may Measure any part of a Cone or Pyramide-piece. Admit you were to cut a Piece of 5 foot at the greater End, and you find the Diameter EF 18:95 Inch. First, Mean-diameter 18:95 and 28 Inch. added is 46; 95 the half is 23:48 the Mean: then extend the Compasses from 13 54/100 unto the Mean-dia∣meter 23 48/100; the same distance twice repeated from the length 5 foot, will reach to 15 ••7/10 foot in the ⅓ of the Cone at the great End; And likewise to Measure EFHG the Diameter HG is 9. 45 added to 18 95 EF, the Sum is 28:4.
The ½ is 14; 20 Inches the Mean-proportion the length 5 foot; by the former Rule you will find in that Piece of timber 5 50/100 foot; and to Measure the little Cone GH 9 45/100 inches diameter and 5 foot long; Work as to Measure the whole Cone, and you will find it 81/1••0 parts of a foot.
foot.
parts.
15
07
5
50
0
81
21
38
And so you have truly Measured the Pieces, as you may find by adding them up, and they make 21 foot 38/199 parts, as you found in the whole Cone at first; and so by finding the Area of the Circle and ••part, you may find the Segment of any Cone or Pyramide that is Square in the sides by the Area thereof; by the same Rules you Measure Stone. It is needless to make more Examples in this thing.
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