C414 TAXING FOR DEP CONFLICTS WITH OTHER TAXIING ACFT AT EUG.

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WE WERE CLRED TO TAXI TO RWY 34. WE NEVER HEARD ANY OTHER TFC ON GND CTL. WE DEPARTED THE RAMP AND HEADED TOWARD RWY 34. WE MADE A R TURN ON TXWY H AND A L TURN ON TXWY A. THE RADIO BLARED 'GND CTL; DID YOU SEE THAT ACFT CUT ME OFF?' GND CTL ANSWERED; 'YES; WE SAW THAT.' I ANSWERED; 'WE NEVER SAW YOU.' WE CONTINUED ON TXWY A AND MADE A 180 DEG TURN TO FACE TFC AT THE DEP END OF RWY 34. NOTHING ELSE WAS SAID. I MUST ADMIT BOTH THE COPLT AND I HAD OUR HEADS IN THE COCKPIT INSTEAD OF JUST ME TAXIING; WATCHING MORE CAREFULLY. I ASSUME THE BONANZA PLT SAW US AND SLOWED OR STOPPED TO AVOID AN ACCIDENT. THIS COULD HAVE BEEN AVOIDED BY GOOD HABITS IN THE COCKPIT; ME WATCHING OUTSIDE AND THE COPLT INSIDE. ALSO; GND CTL NEVER CALLED EITHER US OR THE BONANZA TO HOLD FOR THE OTHER. IF THEY ARE GND CTL THEY SHOULD HAVE CTLED THIS POTENTIAL HAZARD; AND THEY DID NOT. IN FACT; WHEN GND CTL ANSWERED THAT THEY SAW THIS HAPPENING; WE COULDN'T FIGURE OUT WHY THEY DIDN'T SAY ANYTHING. THE BONANZA TOOK OFF AND WE FOLLOWED. I WILL NEVER TAXI ANOTHER ACFT WITH MY HEAD IN THE COCKPIT. MY LESSON IS LEARNED.