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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"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 8, 2024.
Pages
PROBL. VI. How to Measure a Pyramedal piece of Timber.
This piece of timber is measured by this Rule,* 1.1(viz.)
ADmit you have a piece of timber to measure, whose length at the Base is 25 inches AB, and breadth AC 16 inches: and the length of the piece DE 15 foot.
[illustration] geometrical diagram
By the Line of Numbers.
First, by the Line of Numbers find a Mean-proportion between 25 and 16 by di∣viding it into 2 parts, and the middle will fall upon 20 inches, the Mean-proportion required.
descriptionPage 42
Then extend the Compasses always from 20 78/100 unto the Mean-diameter 20 Inch. the same distance will reach from the length 15 foot turned twice over unto 13 88/100 foot of timber.
The Arithmetical way.
AB × AC × DE / 432 = 13 foot 888/1000 parts of timber in the Piece.
AB × ACX ⅓ DE / 144 = 13 foot 888/1000 parts, that is 13 foot and above three quarters.
Notes
* 1.1
A right Lined sharp Piece of Timber is cal∣led a Pyramide