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" If two triangles (ABC, abc) have one angle (A) in the one equal to one angle (a) in the other, and the sides (AB, ab, CB, cb) about either of the other angles proportional ; then will the triangles be equiangular, provided these last angles (B, b~) be... "
Elements of Geometry: With Their Application to the Mensuration of ... - Page 84
by Thomas Simpson - 1760 - 276 pages
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The Leeds Correspondent, Volume 2

John Ryley, John Gawthorp, John Whitley - Mathematics - 1818 - 308 pages
...Edge-Lane, near Royton. It is said in the l6th Theorem, 4th Book of T. Simpson's Geometry, that,"If two triangles (ABC, abc) have one angle (A) in the...one, equal to "one angle (a) in the other, and the sides (AB, ah, CB, cti) about either of the other angles proportional ; then will the triangles be...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 228 pages
...equally inadmissible. It will be necessary to show this. THEOREM xvi. Book IV. Simpson's Geometry. If two triangles (ABC, abc) have one angle (A) in...the one equal to one angle (a) in the other, and the sides (AB, ab, CB, cb) about either of the other angles proportional ; then will the triangles be equiangular,...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 246 pages
...will be necessary to show this. THEOREM xvi. Book IV. Simpson's Geometry. If two triangles (ABC, ale) have one angle (A) in the one equal to one angle (a) in the other, and the sides (AB, ab, CB, cb) about cither of the other angles proportional ; then will the triangles be equiangular,...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 46

1847 - 650 pages
...Again, Theorem xvi., Book iv., Simson's Geometry is as follows: — " If two triangles (ABC, a, b, c) have one angle (A) in the one, equal to one angle (a) in the other, and the sides (AB, ab, CB, cb) about either of the other angles proportional ; then will the triangles be equiangular,...
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Mechanics' Magazine, Volume 46

Technology - 1847 - 650 pages
...Theorem xvi., Book iv., Simson's Geometry is as follows : — " If two triangles (А В С, a, i, с) have one angle (A) in the one, equal to one angle (a) in the other, and the sides (AB, ab, С В, с b) about either of the other angles proportional ; then will the triangles...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 46

Perry Fairfax Nursey - Industrial arts - 1847 - 648 pages
...Theorem xvi., Book iv., Simson's Geometry is as follows :— " If two triangles (А В С, a, 6, с) have one angle (A) in the one, equal to one angle (a) in the other, and the sides (AB, ab, С В, с Ь) about either of the other angles proportional ; then will the triangles...
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