Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.
About this Item
Title
Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.
Author
Taylor, John, mathematician.
Publication
London :: Printed by J.H. for W. Freeman,
1687.
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Subject terms
Mathematics -- Early works to 1800.
Link to this Item
http://name.umdl.umich.edu/A64224.0001.001
Cite this Item
"Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A64224.0001.001. University of Michigan Library Digital Collections. Accessed June 16, 2025.
Pages
PROP. VIII. To divide a right line into any Number of Equal or Unequal parts; or like to any divided line propounded.
Let the line A B, be given to be divided into 5 equal parts; as the line CD. To per∣form which do thus: first on the point C, draw out a line making an Angle with CD at plea∣sure: then make CF, equal to AB; and joyn their Extremities FD, then draw Parallel lines* 1.1 to FD, through all the 5 points of CD, (by the 4 prop. aforegoing) which shall divide AB, into 5 equal parts; as required: This way is to be observed, when the line given to be divided, is greater than the divided line propounded.
descriptionPage 37
CASE II.
But if AB, be shorter than the given di∣vided line CD; take the line AB, in your Compasses, and on D strike the Arch F, then* 1.2 draw the Tangent CF, then take the nearest distance from the first division of CD, to the Tangent-line CF, which distance shall divide AB* 1.3 into 5 equal parts, as the given divided line CD; as required.