Note: This text has been automatically extracted via Optical Character Recognition (OCR) software.
A New System Explanatory Of Terrestrial Phaenomena, &C.
added to its exponent , thus , 3 X 4 also affording 7 , as has been already mentioned ; and which number seven is the Regulating Number . The Line B D , meeting the Tangential Point 67 ^ , cuts the Arc of the Eastern Quadrant in the 85 th degree ; but 10 being added to this number , in conformity with the extent of 70 above 60 , the result is 95 ° ; and this being more than a Right Angle , this Line cuts the circumference in space ; anclconsequentlyin the Eastern Hemispherethe
, , , Magnetic Pole is undiscoverable , and its nearest locality unapproachable . The Hypotheneuse having thus its vertex posited beyond matter , —in space , —while the side of the Square is equal to the Radius , and Sine of 90 " , which is bounded by the Tangent impinging upon the circum ference , we , from hence , learn the reason of the geometrical truth , —that the Diagonal of the Square is incommensurable with its side . As it has above been demonstrated , from an investigation of the properties of
Natural Magnets , that the bisection of the Semi-Diameter , is the fountain from which the Magnetic Power issues , through matter , into the World ; and that the Magnetic Line , commencing in that point , constitutes the Diameter of a Square , crossing the homologous Diameter at Right Angles , it becomes incumbent upon me , in this place , also to prove—that the other proportions to which reference has likewise been made , are actually Magnetic ; ancl disclosed by the Natural Geological
Geometry , that is discovered in the Mineral or Native Magnet . Regarding , then , the relation existing between the Triangle and Square , as this analogy has been established from an examination of Magnetic Rocks , in this representation ( Fig . 3 ) , is pourtrayed a figure
which comprises a fragment of Magnetic Stone , of half the natural size , procured at Karnaul , in the year 1837 . In this example , the shape of the mineral , the situation of the Changing Points , ancl that of the Poles , precisely correspond with the Mathematical Diagrams which , in a preceding page , have been given in illustration of the indivisible Union subsisting in these Rocks , between the Geometrical figures in question . Consequently , by means of this stone , the Magnetic Geological
Relation is fully established betwixt the Triangle and the Square , throughout the Electro-Dynamic System , in the manner that this connection has been above stated to take place . In the Loadstone , represented in the succeeding Diagram , the Rhombus is nearly complete ; and in it we find both the Changing Points , in the position required by the Mathematical figure , that elucidates the relative proportion of the Square to the Rhomb , when within the latter the former is inscribed .
The fragment , of which Figure 4 is a delineation , of half the natural size , was procured in the bazaar of the station of Qutteh-Ghu , in tbe course of the year 1836 ; and here is discovered the situation of one of the Changing Points , shifted from the Center of the Circle to a point nearly in the bisection of the Chord of 60 " , which is equal to the Radius , and forms a side of the Equilateral Triangle , in the manner that the same point appears in the Geometrical Diagram , to which reference has
been made ; the contrary Changing Point being in the opposite side of the Stone . The Reader will observe , that though this shift in the Changing Point , from the Center of the Radius to a point in the opposite side of the Equilateral Triangle , there is evolved the proportion of 2 | x a fraction , which is less than 2 j , comprising an approximation to " 3 A / 16 . Because , in this case ( Fig . 5 ) , A B a radius of the Circle B A I ) ( described so as to cut the Chord of 60 " of the Circle 0 90 0 ) ; ancl being a segment of the Line I H , bisecting the Square 45 90 0 0 ,
Note: This text has been automatically extracted via Optical Character Recognition (OCR) software.
A New System Explanatory Of Terrestrial Phaenomena, &C.
added to its exponent , thus , 3 X 4 also affording 7 , as has been already mentioned ; and which number seven is the Regulating Number . The Line B D , meeting the Tangential Point 67 ^ , cuts the Arc of the Eastern Quadrant in the 85 th degree ; but 10 being added to this number , in conformity with the extent of 70 above 60 , the result is 95 ° ; and this being more than a Right Angle , this Line cuts the circumference in space ; anclconsequentlyin the Eastern Hemispherethe
, , , Magnetic Pole is undiscoverable , and its nearest locality unapproachable . The Hypotheneuse having thus its vertex posited beyond matter , —in space , —while the side of the Square is equal to the Radius , and Sine of 90 " , which is bounded by the Tangent impinging upon the circum ference , we , from hence , learn the reason of the geometrical truth , —that the Diagonal of the Square is incommensurable with its side . As it has above been demonstrated , from an investigation of the properties of
Natural Magnets , that the bisection of the Semi-Diameter , is the fountain from which the Magnetic Power issues , through matter , into the World ; and that the Magnetic Line , commencing in that point , constitutes the Diameter of a Square , crossing the homologous Diameter at Right Angles , it becomes incumbent upon me , in this place , also to prove—that the other proportions to which reference has likewise been made , are actually Magnetic ; ancl disclosed by the Natural Geological
Geometry , that is discovered in the Mineral or Native Magnet . Regarding , then , the relation existing between the Triangle and Square , as this analogy has been established from an examination of Magnetic Rocks , in this representation ( Fig . 3 ) , is pourtrayed a figure
which comprises a fragment of Magnetic Stone , of half the natural size , procured at Karnaul , in the year 1837 . In this example , the shape of the mineral , the situation of the Changing Points , ancl that of the Poles , precisely correspond with the Mathematical Diagrams which , in a preceding page , have been given in illustration of the indivisible Union subsisting in these Rocks , between the Geometrical figures in question . Consequently , by means of this stone , the Magnetic Geological
Relation is fully established betwixt the Triangle and the Square , throughout the Electro-Dynamic System , in the manner that this connection has been above stated to take place . In the Loadstone , represented in the succeeding Diagram , the Rhombus is nearly complete ; and in it we find both the Changing Points , in the position required by the Mathematical figure , that elucidates the relative proportion of the Square to the Rhomb , when within the latter the former is inscribed .
The fragment , of which Figure 4 is a delineation , of half the natural size , was procured in the bazaar of the station of Qutteh-Ghu , in tbe course of the year 1836 ; and here is discovered the situation of one of the Changing Points , shifted from the Center of the Circle to a point nearly in the bisection of the Chord of 60 " , which is equal to the Radius , and forms a side of the Equilateral Triangle , in the manner that the same point appears in the Geometrical Diagram , to which reference has
been made ; the contrary Changing Point being in the opposite side of the Stone . The Reader will observe , that though this shift in the Changing Point , from the Center of the Radius to a point in the opposite side of the Equilateral Triangle , there is evolved the proportion of 2 | x a fraction , which is less than 2 j , comprising an approximation to " 3 A / 16 . Because , in this case ( Fig . 5 ) , A B a radius of the Circle B A I ) ( described so as to cut the Chord of 60 " of the Circle 0 90 0 ) ; ancl being a segment of the Line I H , bisecting the Square 45 90 0 0 ,