Two late headers by Emmanuel Adebayor gave Tottenham Hotspur a 3-1 home win over promoted Swansea City Sunday to boost their hopes of a top-four finish in the Premier League. Newcastle United's surprising push for European football next season also continued after a 2-0 home victory over Liverpool, Senegal striker Papiss Cisse scoring twice. Adebayor used his physical prowess to floor a fluent Swansea side and to give fourth-placed Tottenham 58 points from 31 games, the same total as north London rival Arsenal in third spot. Arsenal is ahead on goal difference, with both teams trailing leader Manchester United by 15 points and Manchester City by 13. “We showed our true class today. The confidence is building and we're ready for a run,” Spurs winger Gareth Bale told Sky Sports. Chelsea is fifth, level on 53 points with Newcastle which motored 10 points clear of seventh-placed Everton. Rafael van der Vaart put Spurs in front after 19 minutes following a typically energetic run from Bale. A smart Gylfi Sigurdsson strike leveled matters in the 59th minute and was a fitting reward for Swansea who had loads of possession. Togo striker Adebayor restored the advantage for Spurs with a 73rd-minute header from a corner and he wrapped up victory with four minutes remaining by converting Aaron Lennon's right-wing cross. “We've seen Adebayor do that before, not just against us,” said Swansea manager Brendan Rodgers. The slick style of play shown by the visitors earned high praise from Wales winger Bale. “The way they play the ball is just unbelievable, all credit to them,” he said. Newcastle No. 9 Cisse, equally as imposing as Adebayor, headed his team in front from Hatem Ben Arfa's 19th-minute cross before sidestepping keeper Pepe Reina to notch his second goal in the 59th. It was a miserable afternoon for out-of-sorts Liverpool which felt it should have been awarded a first-half penalty when Danny Simpson appeared to handle the ball on the line. Cisse also looked offside in the build-up to Newcastle's second goal. Liverpool had Reina sent off with eight minutes remaining when he was adjudged by referee Martin Atkinson to have headbutted James Perch after being tripped by the defender. Television replays showed Perch made the most of whatever contact there was. Liverpool remained eighth, a point behind local rivals Everton. Reina's late sending-off was a sign of frustration, according to manager Kenny Dalglish who has won only two league games in 2012.