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Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)

Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 289

An illustration from Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes, 1881, leaf 289
proposition, KAB is to LCD as MF is to SR. But KAB is to LCD as MF is to NH. Hyp. .-. SR=^^H, V. 8. Also, SR and NH-dve similar and similarly situated, s^nd..PR = GH. VL 23. Now AB IS to CD as EF is to PR, and .-. AB is to CD aaEFia to QH. V. 6. Q- E. D. 2S2 EUCLIDS ELEMENTS. [Book VI. Proposition… … In the equal ?s ABC, DEF let the z s BGC, EHF at thecentres, and the i s BAC, EDF at the circumferences, he sub-tended by the arcs BC, EF. Hun I. I BGC must he to l EHF as arc BC is to arc EF. Take any number of arcs CK, KL, each=5C,and any number of arcs FM, MN, NR eaiCh=EF.Then •.• arcs BC, CK,…

Geometry · Geometry, Plane

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