The English academy, or, A brief introduction to the seven liberal arts grammar, arithmetick, geometrie, musick, astronomie, rhetorick & logic : to which is added the necessary arts and mysteries of navigation, dyaling, surveying, mensuration, gauging & fortification, practically laid down in all their material points and particulars, highly approved to be known by the ingenious, and as such are desirous to profit, or render themselves accomplished : chiefly intended for the instruction of young scholars, who are acquainted with no other than their native language, but may also be very useful to other persons that have made some progress in the studies of the said arts / by John Newton.

About this Item

Title
The English academy, or, A brief introduction to the seven liberal arts grammar, arithmetick, geometrie, musick, astronomie, rhetorick & logic : to which is added the necessary arts and mysteries of navigation, dyaling, surveying, mensuration, gauging & fortification, practically laid down in all their material points and particulars, highly approved to be known by the ingenious, and as such are desirous to profit, or render themselves accomplished : chiefly intended for the instruction of young scholars, who are acquainted with no other than their native language, but may also be very useful to other persons that have made some progress in the studies of the said arts / by John Newton.
Author
Newton, John, 1622-1678.
Publication
London :: Printed by A. Milbourn for Tho. Passenger ...,
1693.
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Subject terms
Education, Humanistic -- Early works to 1800.
Education, Medieval.
Link to this Item
http://name.umdl.umich.edu/A52260.0001.001
Cite this Item
"The English academy, or, A brief introduction to the seven liberal arts grammar, arithmetick, geometrie, musick, astronomie, rhetorick & logic : to which is added the necessary arts and mysteries of navigation, dyaling, surveying, mensuration, gauging & fortification, practically laid down in all their material points and particulars, highly approved to be known by the ingenious, and as such are desirous to profit, or render themselves accomplished : chiefly intended for the instruction of young scholars, who are acquainted with no other than their native language, but may also be very useful to other persons that have made some progress in the studies of the said arts / by John Newton." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A52260.0001.001. University of Michigan Library Digital Collections. Accessed June 2, 2024.

Pages

Problem V. The Circumference of a Circle being given, to find the Superficial content.

As the Square of the Circumference of a Circle given, is to the Superficial content of that Circle, so is the Square of the Circum∣ference of any other Circle, to the Superfi∣cial content of that other Circle.

And in a Circle whose Diameter is 1, the Circumference is 3.14159, and the Area 7853975, and supposing an Unite to be the Circumference of a Circle, it is, as the square of 3.14159 . 7853975 ∷ 1 . 0079578, and therefore, As 1 . 0.079578, so is the

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square of any other Circumference, to the Area desired.

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