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Elements of geometry, containing books I and II with exercises and notes (1882)

Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 91

An illustration from Elements of geometry, containing books I and II with exercises and notes, 1882, leaf 91
and BH=BD ;.■.EG=CB,.. rect. il!fG=rect. AL. Then rect. AD, DB together with sq. on CB= sum of AM and LG= sum of AL and CM and LG=sum of MG and CM and LG= CFs=sq. on CD. Ax. 3.II. A. Q. E. D. EUCLIiyS ELEMEXTS. [Book IL Note. We here give the proof of an important theorem,which is usually placed as… … ^ <J^ JB Let A C, CD be two st. lines, of which J C is the greater,and let them be placed so as to form one st. line AD.Produce AD to B, making CB=AC.Then AD=the sum of the lines AC, CD,and DB=the difference of the lines AC, CD.Then must difference between sqq. on AC, CD=rect. AD, DB.On CB…

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