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 165
x. 1. If, in a circle ABCD, the chord AB be equal to thechord i;C, ^D must be parallel to BC. Ex. 2. If a straight line, drawn from A the middle pointof an arc BC, touch the circle, shew that it is parallel to thechord BC. Ex. 3. If two equal chords, in a given circle, cut one an-other, the… … Let ABC, DEF be equal circles, and let BC, EF be chordasubtending the equal arcs BGC, ElIF. Then must chord BC = chord EF. Take the centres K, L. Then, if ^ ABC be applied to 3 DEF, so that K coincides with L, and J5 with E, and arc BGC falls on arc EEF, . arc J5(TC=arc EHF,y. C will coincide with…
Geometry · Geometry, Plane
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