Elements of geometry, containing books I and II with exercises and notes (1882)
Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 81
whose sides are?qual to two given straight lines. Ex. 2. Shew that the squares on equal straight lines are■equal. Ex. 3. Shew that equal squares must be on equal straightlines. Note. The theorems in Ex. 2 and 3 are assumed by Euclidin the proof of Prop, xlviu. Def. XXX. EUCLIDS ELEMENTS. Sool: L… … and Now Let ABC be a right-angled A , having the rt. z BA C.Then must sq. on BC= sum of sqq. on BA, AC.On BC, CA, ABdescr. the sqq. BDEC, CKHA, AOFB.Through A draw AL \\ to BD or CE, and join AD, FC.Tlien ■.• z BAC and z BAG are both rt. z s, .-. CAG is a St. line ; I. 14. z BAC and z CAH are both…
Geometry
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