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65 15 ., 72 18 .

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* 33 https://en-uoa-gr.academia.edu/DrChalkou/Papers

65 15 . (Codex Vindobonensis phil. Graecus 65 of the 15th cent.)1

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* 33 https://en-uoa-gr.academia.edu/DrChalkou/Papers , , , , . , (30), (30). (10) (20), (30) . https://en-uoa-gr.academia.edu/DrChalkou3

:30.30=900, 20.20=400 (2.2=422) ()12+4/7= 4(3+1/7)=4900/(12+4/7)= 71+13/22 (422/4= 2= )400/(12+4/7)= 31+9/11 (12= 1), , :30/(71+13/22)=/(31+9/11): /=1/1 > (), =1=13+1/3

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: : (2R+2r)/2 = (R+r), 2(R+r)2/ 4 = (R+r)2/ 4= EB (R1+r1)2/4= EB1 /=1/1 [(R+r)/2]2.h/[(R+r)/2]2 = [(R1+r1)/2]2.h1/[(R1+r1)/2]2 h= h1

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, , , , 12 4/7, . 4(3 1/7)= 4 2/4 =(2)2/4 =422/4 =2. 202. 40- 1/2 . , 20 , 400. 400 12 5/8, 40- 31 7/10.

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3o

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220 , ( )

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* 33 https://en-uoa-gr.academia.edu/DrChalkou/Papers 230 : , . 40 50

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72 18 . 1 A .

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2 a 72 , , .. 2 2 , . . , .

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