. Encyclopaedia; or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of . Now the firll two fquares, confiding of two partsout of 8, they may each of them, by the eighth rankof the triangle be taken 28 different ways, whichmakes 56. And the laft two fquares, coniifting offour parts, may each be taken by the fame rank of thetriangle 70 times, which makesTo which add the foregoing numberAnd the number of the different fquares that may be formed of the 8 triangl


. Encyclopaedia; or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of . Now the firll two fquares, confiding of two partsout of 8, they may each of them, by the eighth rankof the triangle be taken 28 different ways, whichmakes 56. And the laft two fquares, coniifting offour parts, may each be taken by the fame rank of thetriangle 70 times, which makesTo which add the foregoing numberAnd the number of the different fquares that may be formed of the 8 triangles, will beZ 3 COM [ i8o ] COM Comblna- VII. A man has 12 different forts of flowers, and ation. large number of each fort. He is deiirous of fctting ^ them in beds or flouriflies in his parterre : Six flowersin fonie, 7 in others, and 8 in others ; fo as to havethe greaielt variety poffible ; the flowers in no twobeds to be the fame. To find how many beds heniufl have. i. The combinations of 6 in 12 by thelaft rank of the triangle, are 924 2. The combinations of 7 in 12, are 792 3. The combinations of S in 12, are 49fTherefore the number of beds mufl be 2211 VIII. To find the number of chances that may


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Keywords: ., bookcentury1700, bookdecade1790, booksubjectencyclo, bookyear1798