The Russellville Democrat., 1885-12-17

then eacll or tuc Tdutdi HueS dDONc described is the hypothenuse ofa triangle. The radial lines are the secants of their respective angles, increasing in length as they ascend to the 45th degree. Now comes i'll my principle by which l harmonize the circle and square and can solve any problem in mathematics. Pro tract the horizontal tangent beyond the 45th degree indefinitely. Then protract the secants (radial lines) until they intersect the protracted tangent. You will find that tiese points of intersection increase in geometrical progression. The radial lines are distributed along tue perpendicular tangent in arith- metica progression and by be ing protracted intersect the pro tracted horizontal tangent in geome sricaI progression. In plain Ian guage by Larmonizing the square and circle my central square and circle is tue foundation for the pro gression Of squares and circles in definitely, and all space and time is measured by the relation which my central square and circle bear to them.
 ITS PRACTICAL APPRECIATION.
 In the practical application of this principle to measurement of distance my rule is: Square the base, which is twelve inches on this instrument, and divide by the departure indica- ted In inches on the instrument. Sup pose in a given instance the depart urc be inch What is the distance of the object? The departure is from parallel line foot from the line to be measured, hence the entire de- parture before the lines intersect must be 12 inches. If the departure be inch in 1 foot it will be 12 inch es in as many feet as one is contain ed in l2-12 feet. The method of taking the bearing of a distant ob ject and then moving of at a right angle a given distance to take anoth CT bearing is the same in my method as in the old, the difference beng that in the old method the second bearing gives only the angle, the logarithmic side which is used Tn the proportion, whereas Tn my meth od instepd of the angle there is giv en directly on the face of the instru- ment term of the proportion by inches.
 AN OBJECTION.
 The objection offered to my plan is, that with so small base, the va rlation of the instrument may not be accurately indicated. But it is only necessary to move of st right an gle, as in the old method, multiply- ing by the number of squares so taken. As to accuracy, it is certain ly as easy to read Inches on square as degrees on circle. This instru- ment has also vertical plane for measuring attitudes on tue same principle.a
 AN oUTPouRiHG OF SCIENCE.
 MT. Faueette went on applying his principle to all sorts of problems, in z huNhV ahW ofelN hSiultHg ludHHNi impossible to describe. II know" he said, ''that am crank on thIs subject" II has been the absorb ing study of my life. 1 have no money making sense, and may never reap any benefit from 1t. But am thoroughly con vinced my theory is correct, and that my discovery will hand my name down to posterity as long as the world lasts. l was born in Hen derson county, Tenn, and lived forty years in Mississippi Then moved to Arkansas. am a natural me chanic. 1 can't help it. My wife and children nave tried to get mo to break up this instrument and not carry it any further. But l cannot do so. l don't let it interfere with working for them. I am temperate in my habits and have got two strong hands to work witb, if nothing ever comes of this.
 Ms. Faucette, is clear eyed, has pleasant, manly features, and is with out doubt a genius. His instrument and diagram are wonderful, and the