This mutual configuration attaches to all parts diametrically distant from each other, containing between them two right angles, or six signs, or a hundred and eighty degrees: it also exists in all parts at the triangular distance from each other, containing between them one right angle and a third, or four signs, or a hundred and twenty degrees; also, in all parts at the quadrate distance from each other, containing between them exactly one right angle, or three signs, or ninety degrees; and, also, in all parts at the hexagonal distance from each other, containing between them two-thirds of a right angle, or two signs, or sixty degrees.[44] These several distances are taken for the following reasons: the distance by diameter, however, is in itself sufficiently clear, and requires no further explanation; but, as to the rest, after the diametrical points have been connected by a straight line, AB; the space of the two right angles, contained on the diameter, is then to be divided into aliquot parts of the two greatest denominations; that is to say, into halves, AFC, CFB, and into thirds, AFD, DFE, EFB: there will then be provided for the third part (AD) a super-proportion (DC), equal to its own half; and for the half (AC) a super-proportion (CE), equal to its own third part; so that the division into two aliquot parts, AC, CB, will make the quartile distance AC; and the division into three aliquot parts, AD, DE, EB, will make the sextile distance AD, and the trinal distance AE.
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