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.

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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.
Rights/Permissions: To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
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 14, 2025.

Pages

Problem V. The angles in an Oblique angled plane triangle one side given, to find the other sides.

In the Oblique angled plane Triangle BCD, let there be given the side CB 632, and the Angles DCB 11.07. D. 26.37.

Draw the line CB at pleasure, and by your scale set off from C to B 632, and up∣on those points protract the given Angles DCB 11.07 CBD. 142.56, and draw the lines CD and BD, till they intersect one a∣nother, then shall the one side be CD 865, and the other DB 273.

By the Tables, the Proportion is,

1. Sine BDC . BC ∷ sDCB . DB.