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 81
e sides are?qual to two given straight lines. Ex. 2. Shew that the squares on equal straight lines areequaL 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. XLvrii, Def. XXX. 74 KUCLirrs ELEMENTS. Book I.… … 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, AB descr. the sqq. BDEC, CKHA, AGFB.Through A draw ^X || to BD .or CE, and join AD, FC.Then •.• i BAC and i BAG are both rt. z s, .-. CAGiss. St. line ; I. 14. and .• z BAC and l CAH are both…
Geometry · Geometry, Plane
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