Note: This text has been automatically extracted via Optical Character Recognition (OCR) software.
A New System Explanatory Of Terrestrial Phaenomena, &C.
the source of all Magnetic movement—that , in the case of a Minor Square , inscribed within a Major , the bisection of the Radius , forming the side of the largest Square , or Cosine point , is a Centre , or Changing Point ; but , in a Major , the same point having shifted , and so becoming the junction of the Tangent and Co-tangent of the Minor , is rendered a Material Pole , whence exists , and to which returns , the great Magnetic Linepenetrating and pervading every Corporeal Atomanimate
, , and inanimate , organic and inorganic , shapeless or reduced to form , which enters into the composition of this Planet , Hence it is proved , by means of the facts which are connected with the Phenomena attending the apparent shift of the Centre of Magnetism in the Loadstone , that the Lines uniting the Changing Points and the Poles , are parts of one and the same indivisible Line ; the segment running from Pole to Pole being the Magnetic Meridianor Directive Line of no Variation of
, the Compass , and the Line of no Variation on the Earth ' s surface ; and that joining the points of Mutation forming the Magnetic Equatorial , or Changing Line , i . e . that in which the Needle changes from N to S , and vice versa . In the course of these two Segments the movements of the Needle take place ; and as the Lines of Mutation and of Direction cross each other at Right Angles , both Vertically and Horizontally , it is obvious , that the Oscillations , Vibrations , and Movements of the Needle
consist of alternate motion and alternate rest , or of Variation at one moment , and Direction the next . The increase of the Square , or shift from a Changing Point to a Pole , being according to the Square of the Distance , is produced in the
Duplicate Ratio of Magnitude ; that is , of three continual proportionals , in which A : B :: C ( Fig 9 ) . In this case the first , or Minor Square , is equal to 4 , or 2 . Because the Square Root of this Square , in consisting of the Radius and Tangent of a given Circle ( both being unity ) , is equal to 2 ; and , therefore , assuming those Lines ( that is , Radius , or Line of R T 90 ° , and Tangent of 45 " ) , as equal , and each Unity , I X 1 = 2 , and 2 24 or 2 The Major S Cbeingin Duplicate Rati
x = , . quare , or , o to the Minor , is equal to 16 , or 4 ; and , hence , B , or the Mean Square , is equal to 8 , this being the sole number whose Square , or 6 4 , equals 4 x 1 G , or the product of the first and third of the three Proportionals . Now 8 is not a Square , but is a Square Root , and a Cube whose superflees is a Square . Hence the Square Root of 8 is a Surd , or interminable fraction , being 2-824271 , * divisible to infinity . This Root is , therefore , Assymptoticand isconsequentlya fraction analogous in its nature to
, , , the Polar Point in the Universe ; being a fraction inaccessible in numbers , as the Point of the Pole is inaccessible in matter . Hence \/ 8 may be esteemed the Polar numeral , which proceeding beyond matter , or the numerical scale , is illimitable . In the bisection of the Co-tangent of 45 " , coinciding with the Centre of the Radius , the Magnetic Line both commences and terminates ; that is the Raphidcan Pole , or Pole materially distinct from the invisible supermaterial Magnetic Punctum , is
posited in the Co-tangent of 45 " , while in the Semi-diameter is located the Changing Point . The bisection of the Co-tangent of 45 " of the Major Circle is , however , equivalent to the junction of the Tangent and Co-tangent of a Minor ; wherefore the Magnetic System , so far as matter
Note: This text has been automatically extracted via Optical Character Recognition (OCR) software.
A New System Explanatory Of Terrestrial Phaenomena, &C.
the source of all Magnetic movement—that , in the case of a Minor Square , inscribed within a Major , the bisection of the Radius , forming the side of the largest Square , or Cosine point , is a Centre , or Changing Point ; but , in a Major , the same point having shifted , and so becoming the junction of the Tangent and Co-tangent of the Minor , is rendered a Material Pole , whence exists , and to which returns , the great Magnetic Linepenetrating and pervading every Corporeal Atomanimate
, , and inanimate , organic and inorganic , shapeless or reduced to form , which enters into the composition of this Planet , Hence it is proved , by means of the facts which are connected with the Phenomena attending the apparent shift of the Centre of Magnetism in the Loadstone , that the Lines uniting the Changing Points and the Poles , are parts of one and the same indivisible Line ; the segment running from Pole to Pole being the Magnetic Meridianor Directive Line of no Variation of
, the Compass , and the Line of no Variation on the Earth ' s surface ; and that joining the points of Mutation forming the Magnetic Equatorial , or Changing Line , i . e . that in which the Needle changes from N to S , and vice versa . In the course of these two Segments the movements of the Needle take place ; and as the Lines of Mutation and of Direction cross each other at Right Angles , both Vertically and Horizontally , it is obvious , that the Oscillations , Vibrations , and Movements of the Needle
consist of alternate motion and alternate rest , or of Variation at one moment , and Direction the next . The increase of the Square , or shift from a Changing Point to a Pole , being according to the Square of the Distance , is produced in the
Duplicate Ratio of Magnitude ; that is , of three continual proportionals , in which A : B :: C ( Fig 9 ) . In this case the first , or Minor Square , is equal to 4 , or 2 . Because the Square Root of this Square , in consisting of the Radius and Tangent of a given Circle ( both being unity ) , is equal to 2 ; and , therefore , assuming those Lines ( that is , Radius , or Line of R T 90 ° , and Tangent of 45 " ) , as equal , and each Unity , I X 1 = 2 , and 2 24 or 2 The Major S Cbeingin Duplicate Rati
x = , . quare , or , o to the Minor , is equal to 16 , or 4 ; and , hence , B , or the Mean Square , is equal to 8 , this being the sole number whose Square , or 6 4 , equals 4 x 1 G , or the product of the first and third of the three Proportionals . Now 8 is not a Square , but is a Square Root , and a Cube whose superflees is a Square . Hence the Square Root of 8 is a Surd , or interminable fraction , being 2-824271 , * divisible to infinity . This Root is , therefore , Assymptoticand isconsequentlya fraction analogous in its nature to
, , , the Polar Point in the Universe ; being a fraction inaccessible in numbers , as the Point of the Pole is inaccessible in matter . Hence \/ 8 may be esteemed the Polar numeral , which proceeding beyond matter , or the numerical scale , is illimitable . In the bisection of the Co-tangent of 45 " , coinciding with the Centre of the Radius , the Magnetic Line both commences and terminates ; that is the Raphidcan Pole , or Pole materially distinct from the invisible supermaterial Magnetic Punctum , is
posited in the Co-tangent of 45 " , while in the Semi-diameter is located the Changing Point . The bisection of the Co-tangent of 45 " of the Major Circle is , however , equivalent to the junction of the Tangent and Co-tangent of a Minor ; wherefore the Magnetic System , so far as matter