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Article ON THE UNIVERSALITY OF THE GRAND MASONIC... ← Page 6 of 7 →
Note: This text has been automatically extracted via Optical Character Recognition (OCR) software.
On The Universality Of The Grand Masonic...
not only Avould have avoided throwing out a groundless insinii & tibn , but might have penetrated the true Masonic spirit of the article , as I have now explained its import . There is even a third indication of the haste with which the P . M .
permits himself to draw his conclusions , without taking the trouble to m & e himsdf m he infers them . He " cannot pause to inquire " how 6 is ^ " perfect number ;' nor - what the author means by stating , that it is itself a triangular number , and expresses that particular equilateral triangle of which the side is three , " On those particulars also I will , for his information , give a little explanation .
The Platonists , and other early Greek geometers , defined as upidfjLol reXetoiyOr perfect ^ wwS
Triangular numbers are those of which tlie units may be disposed into the form of an equilateral triangle . Thus 3 is a triangular number , because three units form the equilateral triangle [ # # # ]; 6 is a triangular pumber , because its units form " that particular equilateral triangle of which the side is 3 , " thus [ . * * J- The general 7 p- \ -n analytic formula for triangular numbers is — « —? n being the
number of units in the side of the triangle . See Euler , " Algebre des Kombres Pigures ou Polygones , " torn . i . p . 201 . A little study of that chapter , or of some other work of the same nature , would qualify the P . M . to comprehend the proposition or theorem which I have
demonstrated respecting the number 666 of the Books of Kings and Chronicles ; namely , that it is a Masonic emblem , typifying the union of the grand architectural and Masonic symbols , the equilateral triangle and the square , since 36—the geometrical base of the equilateral triangle 666 , and consequently its linear representative—is the frst number that is , distinctively , both an equilateral triangle and a
square . The union of these two chief emblems , the regular triangle and the square , in a single cipher or monogram , was , indeed , of momentous importance to the purposes of the great founders of Masonic science , They thereby collected and symbolized all the leading attributes of the Deity by a single generalization . The equilateral and equiangular triangle is , as I haye shown , a universally true and
unsectanan emblem of the Deity , in respect , first , of His absolute existence ; and , secondly , of His mental and His spiritual relation to man . The square is the representative of His power , His perfection , and His justice . It is , first , the symbol of Power , as being the type of solidity , strength , and stability . Secondly , Aristotle , as well as Plato , uses the rerpaybovov , or square , as the synonym of Perfection . And , lastly , the right angle naturally suggests the idea of uprightness as well as of stability , and is the essential notion of
Note: This text has been automatically extracted via Optical Character Recognition (OCR) software.
On The Universality Of The Grand Masonic...
not only Avould have avoided throwing out a groundless insinii & tibn , but might have penetrated the true Masonic spirit of the article , as I have now explained its import . There is even a third indication of the haste with which the P . M .
permits himself to draw his conclusions , without taking the trouble to m & e himsdf m he infers them . He " cannot pause to inquire " how 6 is ^ " perfect number ;' nor - what the author means by stating , that it is itself a triangular number , and expresses that particular equilateral triangle of which the side is three , " On those particulars also I will , for his information , give a little explanation .
The Platonists , and other early Greek geometers , defined as upidfjLol reXetoiyOr perfect ^ wwS
Triangular numbers are those of which tlie units may be disposed into the form of an equilateral triangle . Thus 3 is a triangular number , because three units form the equilateral triangle [ # # # ]; 6 is a triangular pumber , because its units form " that particular equilateral triangle of which the side is 3 , " thus [ . * * J- The general 7 p- \ -n analytic formula for triangular numbers is — « —? n being the
number of units in the side of the triangle . See Euler , " Algebre des Kombres Pigures ou Polygones , " torn . i . p . 201 . A little study of that chapter , or of some other work of the same nature , would qualify the P . M . to comprehend the proposition or theorem which I have
demonstrated respecting the number 666 of the Books of Kings and Chronicles ; namely , that it is a Masonic emblem , typifying the union of the grand architectural and Masonic symbols , the equilateral triangle and the square , since 36—the geometrical base of the equilateral triangle 666 , and consequently its linear representative—is the frst number that is , distinctively , both an equilateral triangle and a
square . The union of these two chief emblems , the regular triangle and the square , in a single cipher or monogram , was , indeed , of momentous importance to the purposes of the great founders of Masonic science , They thereby collected and symbolized all the leading attributes of the Deity by a single generalization . The equilateral and equiangular triangle is , as I haye shown , a universally true and
unsectanan emblem of the Deity , in respect , first , of His absolute existence ; and , secondly , of His mental and His spiritual relation to man . The square is the representative of His power , His perfection , and His justice . It is , first , the symbol of Power , as being the type of solidity , strength , and stability . Secondly , Aristotle , as well as Plato , uses the rerpaybovov , or square , as the synonym of Perfection . And , lastly , the right angle naturally suggests the idea of uprightness as well as of stability , and is the essential notion of