the second flow path begins at port collar 64 and extends through channel 66 connecting block 68 and straight connecting tube 70 to inner tube 40 when connected to a suitable handpiece plug 48 is inserted into the port on the handpiece through which the irrigating solution is directed while port 58 forms an attachment point for a plug on the handpiece through which aspiration occurs referring now to fig8 the numeral 74 identifies a second adaptor or connector having a plug assembly 76 having a first cylindrical section 78 preferably formed as a right cylindrical section and a second or formed integrally with a second plug section 80 larger in diameter than section 78 and having a tapered inner wall 82 formed therewithin as seen in fig8 outer tube 42 fits liquid tightly about the outer diameter of first section 78 and abuts against second section 80 inner tube 40 is attached to a straight tube section 84 which protrudes from plug assembly 76 the configured plug assembly 76 forms a pair of flow channels the first of which is a relatively large cylindrical flow channel 86 having a first right cylindrical cross section 88 and a second flow section with a frustoconical cross section 90 which tapers outwardly toward an opening 92 through plug section 80 the second flow path is defined by a tube 84 which is inserted fluid tightly into inner tube 40 referring now to fig9 the numeral 94 identifies a handpiece constructed to receive the connector and tube assembly shown in 74 handpiece 94 has a first end 96 terminating in a hollow nipple 98 tapered outwardly from end 100 to body 102 of handpiece 94 handpiece 94 also has a central cannula or channel 104 extending from.