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Show MfflXTENSIVR TRACTS OF COAL LANDS WITHDRAWN lTJWfeOiio of the largest withdrawals of coal 'ajmlaiiil made In the 3tatc in several montli3 ;t5n'Ps l,mi announced Saturday1 by tho 'flKfru'd' office The land Is in Summit coun-jjSfty' coun-jjSfty' and was withdrawn from entry by Border of President Taft. until it can be 7jjJ;ictcrm)nrd just wliloh parls rontaln val-ajJSrablo val-ajJSrablo deposits of coal. Tho land is dc-trMtscrlbcd dc-trMtscrlbcd as follows: Township north, lii'angos 7. S. ! 10. II. 13 and 11 cast: jflttltbwiiship 3 north, ranges Jl. 12. 13. It. .Vftfla. 16 and 17 cast. The land will be OjBfclicckcd over and a price placed upon It. The trigonomclcr is a new invention, invented by J. S. Barker of this city. It Is an Instrument which by one setting offers a complete solution of the trigonometrical trigono-metrical functions of tho triangle, solving solv-ing all throe sides for distance and all three corners for angles. It enables the user to find tangents, angles, radii, chords, externals, etc., without making a graphic layout of tho same or without making the usual mathematical calculations calcu-lations with the aid of tables, of sines, cosines, etc., provided or that purpose. The solving of oblhiuc triangles Is one of the most tedious and time-consuming operations op-erations in general computation work. With tho trigonomotcr any and all tri- angles can be solved in less than one minute's time. It will also solve the long tangent of a spiral curve. In solving a right angle triangle, for example, consider the right angle triangle tri-angle as Indicated In the drawing corner cor-ner A having an anglo of 4.1 degrees sot and indicated at Vernier "B;" corner C having' an angle of 00 degrees, indicated at Vernier "D;" distance b being 585 feet, indicated on scale ";" and act by sliding slid-ing Figure "C" along scale "B." Then scale "D" Indicates distance a, which in this case is fiSo feet. And distance c Is Indicated on scale "A," In thio caee being be-ing S27.3 feet. Angle "B" equals 180 degrees, minus 45 degrees, plus 90 degrees, equals 45 degrees. This operation takes a very few seconds, while llgurlng by mathematical operations with the ubc of tables solving for "a." tho formula would be: A equals "c." slno A equals b, tangent tan-gent A. And solving for C: C equals a, divided by sine A, which therefore equals b, divided by cosine A. In solving an oblique triangle consider corner A having an angle or 0 degrees, corner C 95 degrees and distance b GOO feet; set trigonomclcr for angles and distances as explained, reading distance a on scale "D," which Is 305.2 feet, and distance dis-tance c on scale "A," which Is 608.1 feet. Angle B wo know by tho usual formula to be 55 degrees. The more difficult solution of a triangle tri-angle would be to have the three sides given to solve for angles. With tho trigonomclcr simply set the three aides correct for distance, read angle A at Vernier "B." angle C at Vomer "D," and for angle B the U3ual formula. The trigonomctor will till a. long felt want In all general engineering offices for the use of engineers, surveyors, architects arch-itects and draftsmen. As a labor and time saving device it ranks with tho plan-Imctcr, plan-Imctcr, multiplying and adding machines. This instrument Is highly Indorsed by prominent cnglncors of Salt Lake. Mr. Barker, the Inventor, is an cmployeo in the ofTlcc of the city engineer and is r candidate on the American ticket for tho position of county surveyor. |