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Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)

Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 149

An illustration from Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry, 1826, leaf 149
he sector CGK: For the same reason, the sec-tor KGL is equal to each of the sectors BGC, CGK; and in the samemanner, the sectors EFIF, FHM, MHN may be proved equal to oneanother: Therefore, what mullipie soever the arch BLis of the archBC, the same multiple is the sector BGL of the sector BGC.… … and if the arch BL be greater than EN, the sector BGL is greaterthan the sector EHN ; and if less, less: Since, then, there are tourmagnitudes, the two arches BC,EF, and the two sectors BGC,EHF,and of the arch BC, and sector BGC, the arch BL and the sectorBGL are any equimultiples whatever; and of…

Euclid's Elements · Geometry · Trigonometry

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