Note: This text has been automatically extracted via Optical Character Recognition (OCR) software.
A New System Explanatory Of Terrestrial Phaenomena, &C.
Mathematical Truth , the representation ( Fig . 7 , half the natural size ) is here afforded of a fourth Native Loadstone , which was procured in the Bazar of Delhi , at the same period with the former . The delineation of this Stone , as is the case with all the examples adduced in this Work , corresponds with the actual size of the Fragment , and exhibits a portion of a regularly formed Geological Square . Similar to the specimen immediately preceding , the surface of this Stone is , however , unmarked with
Lilies , those formed with dots being added to the drawing , with the view of indicating the course of the Segment , constituting the Magnetic Meridian Line , and that forming the Line of Mutation , or Magnetic Equator , progressing in the track of the Changing Points . Those sensible Segments of the one indivisible Line ( a fact well illustrated in the Example under consideration ) , running Diagonally in the Square , cross eacli other at Riht Anglesanduniting in the Centre of the Squarethere form
g ; , , a point , corresponding with the Raphidean point , or 90 ° in the Circumferential Curve , which Angle of 90 " being again bisected by the Diagonal , or Hypothenuse , there becomes generated the Angle of 4 ; 5 " , in which is located the Vertex of the Right Angled Triangle , whose Area may be deemed the grand field of the whole System disclosed in the Electro-Dynamic Pliscnomena . In the great Universal Scheme of Magnetic , GeologicalGeometrythe Triangle and Square are , by means of the
, , foregoing facts , shown to be integrally united , so as to form two distinct portions ' of one indivisible , inseparable whole . Hence those two Mathematical figures , or characters , as regards Electro-Dynamism , bear a certain relation to the Circle and each other ; and also to the bisecting point , or the Cosine punctum of the Semi-diameter , coinciding with the Centre
of the Tangent , and Co-tangent of 45 " , in a given Circle . 'I his relationship is illustrated in the accompanying Diagram ( Fig . 8 ) ; from which will also be perceived the manner in which the Changing Point shifts Mathematically from the Centre , in the Middle of the Radius ( of a Major Circle ) , to a point in the opposite side of the Triangle , when the Fragment , bearing this shape , is detached , as in Example second , from : < surrounding mass . In the representation of the Square-shaped Mineral Magnetwhich is given beforethe Line S N being the Diameter of the
, , Square , the Point , or Pole S ( and consequently N also , if the Rectangle in the Fragment had been complete , would have had the same locality ) is posited in the Union of the Tangent and Co-tangent of 46 "; which Tangential point of a Minor Circle is coincident , or in the same plane , with the bisection of the Co-tangent of the same Angle in a Major . In this case the extent of the Diameter of the Minor is equal to the dimensions of the Radius of the Major Circle , and consequently ( as Circles
ar e to each other as the Squares of their Diameters ) , this augmentation is effected acccording to the Square of the Distance ; and thus the Diameter of one Circle becomes equal to the Radius and Tangent ol 4 . 5 " of another in the scale of Electro-Dynamic demonstration . We have already determined that the Polar and Central points being moveable in matter , the Cosine point of the Radius advances to the Centre of the Circle ; andvice versathe latter and assumes
, , progresses , the relative position of the Cosine . But this alteration is of course effected according to the Universal Law of the Square of the Distance ; and thus , through an investigation , carried on into the nature and properties of these Magnetic , and Geologically Geometrical Rocks , we become in possession of the interesting fact— whose existence is indeed ,
Note: This text has been automatically extracted via Optical Character Recognition (OCR) software.
A New System Explanatory Of Terrestrial Phaenomena, &C.
Mathematical Truth , the representation ( Fig . 7 , half the natural size ) is here afforded of a fourth Native Loadstone , which was procured in the Bazar of Delhi , at the same period with the former . The delineation of this Stone , as is the case with all the examples adduced in this Work , corresponds with the actual size of the Fragment , and exhibits a portion of a regularly formed Geological Square . Similar to the specimen immediately preceding , the surface of this Stone is , however , unmarked with
Lilies , those formed with dots being added to the drawing , with the view of indicating the course of the Segment , constituting the Magnetic Meridian Line , and that forming the Line of Mutation , or Magnetic Equator , progressing in the track of the Changing Points . Those sensible Segments of the one indivisible Line ( a fact well illustrated in the Example under consideration ) , running Diagonally in the Square , cross eacli other at Riht Anglesanduniting in the Centre of the Squarethere form
g ; , , a point , corresponding with the Raphidean point , or 90 ° in the Circumferential Curve , which Angle of 90 " being again bisected by the Diagonal , or Hypothenuse , there becomes generated the Angle of 4 ; 5 " , in which is located the Vertex of the Right Angled Triangle , whose Area may be deemed the grand field of the whole System disclosed in the Electro-Dynamic Pliscnomena . In the great Universal Scheme of Magnetic , GeologicalGeometrythe Triangle and Square are , by means of the
, , foregoing facts , shown to be integrally united , so as to form two distinct portions ' of one indivisible , inseparable whole . Hence those two Mathematical figures , or characters , as regards Electro-Dynamism , bear a certain relation to the Circle and each other ; and also to the bisecting point , or the Cosine punctum of the Semi-diameter , coinciding with the Centre
of the Tangent , and Co-tangent of 45 " , in a given Circle . 'I his relationship is illustrated in the accompanying Diagram ( Fig . 8 ) ; from which will also be perceived the manner in which the Changing Point shifts Mathematically from the Centre , in the Middle of the Radius ( of a Major Circle ) , to a point in the opposite side of the Triangle , when the Fragment , bearing this shape , is detached , as in Example second , from : < surrounding mass . In the representation of the Square-shaped Mineral Magnetwhich is given beforethe Line S N being the Diameter of the
, , Square , the Point , or Pole S ( and consequently N also , if the Rectangle in the Fragment had been complete , would have had the same locality ) is posited in the Union of the Tangent and Co-tangent of 46 "; which Tangential point of a Minor Circle is coincident , or in the same plane , with the bisection of the Co-tangent of the same Angle in a Major . In this case the extent of the Diameter of the Minor is equal to the dimensions of the Radius of the Major Circle , and consequently ( as Circles
ar e to each other as the Squares of their Diameters ) , this augmentation is effected acccording to the Square of the Distance ; and thus the Diameter of one Circle becomes equal to the Radius and Tangent ol 4 . 5 " of another in the scale of Electro-Dynamic demonstration . We have already determined that the Polar and Central points being moveable in matter , the Cosine point of the Radius advances to the Centre of the Circle ; andvice versathe latter and assumes
, , progresses , the relative position of the Cosine . But this alteration is of course effected according to the Universal Law of the Square of the Distance ; and thus , through an investigation , carried on into the nature and properties of these Magnetic , and Geologically Geometrical Rocks , we become in possession of the interesting fact— whose existence is indeed ,