Double strikers both slots home from inside the box as the visitors moved in eighth place in the table, ahead of Aberdeen and St Johnstone and 16 points above their opponents.
New Hamilton struggled to find a threat of scorer to Flavio Paixao was deep in the time of the injury which lost their game in hand at St Mirren without a gap of seven points.
Defender of Hamilton Simon Mensing almost found some much-needed joy when he crashed a header out of the bar moments before the opening, a day after had served a ban of four weeks for testing positive for a banned stimulant before testing had swallowed it involuntarily.
But Hibernian went to banish your fears of relegation after producing the best sequence of victories since 2005.
UK anti-doping accepted that a seemingly legitimate dietary supplement that mensing had taken had been contaminated with methylhexaneamine, although a section of the visiting fans had a selection of mockery songs ready for him.
FC lined with trained attack who sought his first SPL victory at new Douglas Park this season. Dougie Imrie played just ahead of a midfield of three men, with wide men Rousseff and Damian Casalinuovo support to centre forward Mickael Antoine-parcel.
Rousseff was an ambitious long-term free kick saved by Graham Stack as Hamilton produced a heartening if unproductive start.
But they had an escape at the 17 minute when double declared that Callum Booth had their heels trimmed by Mensing after a winning streak and one-two with penetrating Riordan. He was referee George Salmond.
Francis Dickoh both both Riordan lost only the target from close range after corners before Mensing came close to silencing fans of double when he crashed a header against the bar in the corner of Rousseff. FC maintained the pressure and Antoine-ball downed parcel of Mark Carrington in the box, but stack had blocked his volley on the turn.
Twice took the lead in the 37th minute but when Sodje got his second goal for the club. David Wotherspoon had discovered Richie Towell sprint down the right channel and on loan from Celtic full backup remained a challenge before cutting the ball for Sodje at the beginning of the slot.
Mark McLaughlin soon back-heeled the ball in the net after double battery fell an Imrie free kick but the defender of Hamilton was ruled to have needed the Archer, who came out with his stomach after a long spell of treatment, with Graeme Smith.
Midfielders Wigan James McArthur and James McCarthy and Burnley full back Brian Easton said at halftime of his former club, a reminder lottery numbers if any were needed for the task of reconstruction to recently by the director Billy Reidthat he was still without injured captain Alex Neil.
Graduate in another team of young, midfielder Ali Crawford, replaced the ineffective Casalinuovo but the game was almost more than Hamilton’s 20 seconds after the restart when Liam Miller found space in the box, but Tomas Cerny rejected his strike from 12 yards before the midfielder fired on.
FC were soon on the front foot but Antoine-courier could not lead Rousseff’s deep cross in destination from a narrow angle and corner Imrie inswinging only shone throughout the far post.
Hamilton’s fightback hopes have vanished but Smith produced a great reflex save to stop oblique Gary McDonald headed from a corner Imrie, with appeals home that the ball had crossed the line have a whiff of desperation.
And their hopes were extinguished in the 75 minute. Imrie joined McLaughlin Sodje closure on the right wing, allowing Wotherspoon to go beyond and the double forward hooked the ball in the path of teammate, which crossed low for Riordan to side foot home first time.
Rousseff volleyed in the lower corner of minutes of three and a half of 14 yards on long shot in injury time following Cerny free but it was not time for another attack.
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