# Strona:A. Baranowski - O wzorach.pdf/18

Ta strona została przepisana.
 ${\displaystyle \varphi (158,\,\,\,3)=\varphi (158,\,\,\,2)-\varphi (\,\,\,31,2)=\,\,\,53-\,\,\,11=\,\,\,42}$ ${\displaystyle \varphi (158,\,\,\,2)=\varphi (158,\,\,\,1)-\varphi (\,\,\,52,1)=\,\,\,79-\,\,\,26=\,\,\,53}$ ${\displaystyle \varphi (\,\,\,31,\,\,\,2)=\varphi (31,\,\,\,1)-\varphi (10,1)=\,\,\,16-\,\,\,\,\,\,5}$ ${\displaystyle =}$ ${\displaystyle \,\,\,11}$ ${\displaystyle \varphi (\,\,\,22,\,\,\,3)=\varphi (\,\,\,22,\,\,\,2)-\varphi (\,\,\,\,\,\,4,2)=\,\,\,\,\,\,7-\,\,\,\,\,\,1=\,\,\,\,\,\,6}$ ${\displaystyle \varphi (\,\,\,22,\,\,\,2)=\varphi (\,\,\,22,\,\,\,1)-\varphi (\,\,\,\,\,\,7,1)=\,\,\,11-\,\,\,\,\,\,4=\,\,\,\,\,\,7}$ ${\displaystyle \varphi (4,\,\,\,2)=\varphi (\,\,\,4,\,\,\,1)-\varphi (1,1)=\,\,\,\,\,2-\,\,\,\,\,\,1}$ ${\displaystyle =}$ ${\displaystyle \,\,\,\,\,\,1}$ ${\displaystyle \varphi (\,\,\,14,\,\,\,4)=\varphi (\,\,\,14,\,\,\,3)-\varphi (\,\,\,\,\,\,2,3)=\,\,\,\,\,\,4-\,\,\,\,\,\,1=\,\,\,\,\,\,3}$ ${\displaystyle \varphi (\,\,\,14,\,\,\,3)=\varphi (\,\,\,14,\,\,\,2)-\varphi (\,\,\,\,\,\,2,2)=\,\,\,\,\,\,5-\,\,\,\,\,\,1=\,\,\,\,\,\,4}$ ${\displaystyle \varphi (\,\,\,14,\,\,\,2)=\varphi (\,\,\,14,\,\,\,1)-\varphi (\,\,\,\,\,\,4,1)=\,\,\,\,\,\,7-\,\,\,\,\,\,2=\,\,\,\,\,\,5}$ ${\displaystyle \varphi (142,\,\,\,7)=\varphi (142,\,\,\,6)-\varphi (\,\,\,\,\,\,8,6)=\,\,\,29-\,\,\,\,\,\,1=\,\,\,28}$ ${\displaystyle \varphi (142,\,\,\,6)=\varphi (142,\,\,\,5)-\varphi (\,\,\,10,5)=\,\,\,30-\,\,\,\,\,\,1=\,\,\,29}$ ${\displaystyle \varphi (142,\,\,\,5)=\varphi (142,\,\,\,4)-\varphi (\,\,\,12,4)=\,\,\,32-\,\,\,\,\,\,2=\,\,\,30}$ ${\displaystyle \varphi (142,\,\,\,4)=\varphi (142,\,\,\,3)-\varphi (\,\,\,20,3)=\,\,\,38-\,\,\,\,\,\,6=\,\,\,32}$ ${\displaystyle \varphi (142,\,\,\,3)=\varphi (142,\,\,\,2)-\varphi (\,\,\,28,2)=\,\,\,47-\,\,\,\,\,\,9=\,\,\,38}$ ${\displaystyle \varphi (142,\,\,\,2)=\varphi (142,\,\,\,1)-\varphi (\,\,\,47,1)=\,\,\,71-\,\,\,24=\,\,\,47}$ ${\displaystyle \varphi (\,\,\,28,\,\,\,2)=\varphi (28,\,\,\,1)-\varphi (9,1)=\,\,\,14-\,\,\,\,\,\,5}$ ${\displaystyle =}$ ${\displaystyle \,\,\,\,\,\,9}$ ${\displaystyle \varphi (\,\,\,20,\,\,\,3)=\varphi (\,\,\,20,\,\,\,2)-\varphi (\,\,\,\,\,\,4,2)=\,\,\,\,\,\,7-\,\,\,\,\,\,1=\,\,\,\,\,\,6}$ ${\displaystyle \varphi (\,\,\,20,\,\,\,2)=\varphi (\,\,\,20,\,\,\,1)-\varphi (\,\,\,\,\,\,6,1)=\,\,\,10-\,\,\,\,\,\,3=\,\,\,\,\,\,7}$ ${\displaystyle \varphi (4,\,\,\,2)=\varphi (\,\,\,4,\,\,\,1)-\varphi (1,1)=\,\,\,\,\,\,2-\,\,\,\,\,\,1=\,\,\,\,\,\,1}$ ${\displaystyle \varphi (\,\,\,12,\,\,\,4)=\varphi (\,\,\,12,\,\,\,3)-\varphi (\,\,\,\,\,\,1,3)=\,\,\,\,\,\,3-\,\,\,\,\,\,1=\,\,\,\,\,\,2}$ ${\displaystyle \varphi (\,\,\,12,\,\,\,3)=\varphi (\,\,\,12,\,\,\,2)-\varphi (\,\,\,\,\,\,2,2)=\,\,\,\,\,\,4-\,\,\,\,\,\,1=\,\,\,\,\,\,3}$ ${\displaystyle \varphi (\,\,\,12,\,\,\,2)=\varphi (\,\,\,12,\,\,\,1)-\varphi (\,\,\,\,\,\,4,1)=\,\,\,\,\,\,6-\,\,\,\,\,\,2=\,\,\,\,\,\,4}$ ${\displaystyle \varphi (117,\,\,\,8)=\varphi (117,\,\,\,7)-\varphi (\,\,\,6,\,\,\,7)=\,\,\,24-\,\,\,\,\,\,1=\,\,\,23}$ ${\displaystyle \varphi (117,\,\,\,7)=\varphi (117,\,\,\,6)-\varphi (\,\,\,6,\,\,\,6)=\,\,\,25-\,\,\,\,\,\,1=\,\,\,24}$ ${\displaystyle \varphi (117,\,\,\,6)=\varphi (117,\,\,\,5)-\varphi (\,\,\,9,\,\,\,5)=\,\,\,26-\,\,\,\,\,\,1=\,\,\,25}$ ${\displaystyle \varphi (117,\,\,\,5)=\varphi (117,\,\,\,4)-\varphi (10,\,\,\,4)=\,\,\,27-\,\,\,\,\,\,1=\,\,\,26}$ ${\displaystyle \varphi (117,\,\,\,4)=\varphi (117,\,\,\,3)-\varphi (16,\,\,\,3)=\,\,\,31-\,\,\,\,\,\,4=\,\,\,27}$ ${\displaystyle \varphi (117,\,\,\,3)=\varphi (117,\,\,\,2)-\varphi (39,\,\,\,1)=\,\,\,59-\,\,\,20=\,\,\,39}$ ${\displaystyle \varphi (\,\,\,23,\,\,\,2)=\varphi (\,\,\,23,\,\,\,1)-\varphi (\,\,\,\,\,\,7,1)=\,\,\,12-\,\,\,\,\,\,4=\,\,\,\,\,\,8}$ ${\displaystyle \varphi (\,\,\,16,\,\,\,3)=\varphi (\,\,\,16,\,\,\,2)-\varphi (\,\,\,\,\,\,3,2)=\,\,\,\,\,\,5-\,\,\,\,\,\,1=\,\,\,\,\,\,4}$ ${\displaystyle \varphi (\,\,\,16,\,\,\,2)=\varphi (\,\,\,16,\,\,\,1)-\varphi (\,\,\,\,\,\,5,1)=\,\,\,\,\,\,8-\,\,\,\,\,\,3=\,\,\,\,\,\,5}$ ${\displaystyle \varphi (\,\,\,93,\,\,\,9)=\varphi (\,\,\,93,\,\,\,8)-\varphi (\,\,\,\,\,\,4,8)=\,\,\,17-\,\,\,\,\,\,1=\,\,\,16}$ ${\displaystyle \varphi (\,\,\,93,\,\,\,8)=\varphi (\,\,\,93,\,\,\,7)-\varphi (\,\,\,\,\,\,4,7)=\,\,\,18-\,\,\,\,\,\,1=\,\,\,17}$ ${\displaystyle \varphi (\,\,\,93,\,\,\,7)=\varphi (\,\,\,93,\,\,\,6)-\varphi (\,\,\,\,\,\,5,6)=\,\,\,19-\,\,\,\,\,\,1=\,\,\,18}$