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" In the three sides of an equiangular field stand three trees at the distances of 10, 12, and 16 chains from one another ; to find the content of the field, it being the greatest the data will admit of. "
Proceedings of the Edinburgh Mathematical Society - Page 115
by Edinburgh Mathematical Society - 1897
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The Diarian Repository; Or, Mathematical Register: Containing a Complete ...

Mathematical recreations - 1774 - 734 pages
...1755. In the three fides of an equi- angular field (land three trees, at thediftances of lo, 12 and 1 6 chains from one another : to find the content of the field, it being the greatcft the da:a will admit of. Anjxered, Anfwered ly Mr. W. Bevil. Ccnßrufiion. The given points...
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The diarian miscellany: consisting of all the useful and ..., Volume 3

Ladies' diary - 1775 - 498 pages
...Tho. Mofs. In the three fides of an equiangular fitld (land three trees, nt the diftances of 10, 11, and 16 chains from one another; To find the content of the field, it being the greatclt the data will admit of? VII. QUESTION 397 ly Mr. J. Afli. Standing at the end of a vifto....
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The Mathematical Questions Proposed in the Ladies' Diary: And ..., Volume 2

Thomas Leybourn - Mathematics - 1817 - 468 pages
...BAD, the course лип, from the west, is found to be 47° 25'. vi. QUESTION 396, by Mr. Thos. Moss. In the three sides of an equi-angular field stand...field, it being the greatest the data will admit of ? Answered by Mr. W. Bevil. Construction. The given points А, в, с being joined, upon AC and вс...
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Nonlinear Programming

Richard Cottle, Carlton E. Lemke - Mathematics - 1976 - 212 pages
...U7): "In the three Sides of an equiangular Field stand three Trees, at the Distances of lO, l2, and l6 Chains from one another: To find the Content of the...Field, it being the greatest the Data will admit of?" While there seems to have been no explicit recognition of the connection with Fermat 's Problem in...
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Geometric Methods and Optimization Problems

Vladimir Boltyanski, Horst Martini, V. Soltan - Computers - 1998 - 448 pages
...journal "The Lady's Diary or Woman's Almanach" (cf. [121], p. 7): "In the three sides of an equilateral field stand three trees, at the distances of 10, 12...field, it being the greatest the data will admit of." More explicitly, this task was stated in the first issue of the journal " Annales de Mathematiques...
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Facility Location: Applications and Theory

Zvi Drezner, Horst W. Hamacher - Business & Economics - 2001 - 480 pages
...already an implicit use of the dual. The Ladies Diary or Woman's Almanack (1755) contains the problem: "In the three sides of an equiangular field stand...field, it being the greatest the data will admit of?". This geometrical problem was stated in a more academic manner in Annales de Mathematiques Pures et...
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Proceedings of the Edinburgh Mathematical Society, Volume 15

Edinburgh Mathematical Society - Electronic journals - 1897 - 208 pages
...projections on the sides of DEF. Then PP1 + PP2 + PP3 = AL = VA + VB + VC. But PP, + PP2 + PP3<PA + PB + PC (44) Triangle DEF is the maximum equilateral triangle...the required triangle DEF. In Gergonne's Annales de Mathématiques I. 384 (1811) there were proposed the two problems : In any given triangle to inscribe...
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