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‘a pair of lines of longitude are parallel at the equator but converge toward the poles’
‘While it seems self-apparent that parallel lines will never converge, later mathematicians were caught up in studying this particular axiom in more depth.’
‘According to the principles of geometric perspective, parallel lines appear to converge at a single point in space, known as the vanishing point, as they recede from the viewer.’
‘Where these lines converge, there is a tunnel that opens up and moves through space and time into other dimensions.’
‘Landing here there are two possible ways on, both routes eventually converging in the same place.’
‘With the shoreline coming to a point, currents from both the north and south converge and flow seaward resulting in clear water and a concentration of nutrients to initiate an abundant food chain.’
‘It's where our main subway lines converge, where uptown meets downtown, where east meets west.’
‘The rostrum is longer than wide; its lateral borders slightly converge anteriorly.’
‘Even the smallest amount of food left out after a meal would very quickly become the centre of a heaving mass of voracious brown bodies, with long lines of ants converging from all corners.’
‘And if you tilt your camera to take a picture of a building or a monument, vertical lines will converge and rectangles turn into trapezoids.’
‘Another feature that one would expect of such a space is that lines that started off in the same direction would converge and eventually meet.’
‘Longitude lines converge; latitude lines don't.’
‘The more often these lines converge at or near a single price level, the more significant and therefore reliable they become in determining potential pause or reversal points.’
‘Do this several times to different sets of receding lines in the picture and then draw a line connecting all the places where the lines converge.’
‘Ahead, the two low lines of the estuary converged and were lost in the distance in a mist.’
‘As it is, auroras on Earth follow magnetic lines of force that converge at the north and south magnetic poles.’
‘He also understood that horizontal lines appear to converge with distance (slope toward one another) in the direction of an eye-level.’
‘For beginners to this study, it sometimes gets confusing with all the lines converging and diverging to and from each other.’
‘The three lines converge in a single point, which presumably corresponds to the present moment.’
‘The medium, whether air or water, flows smoothly over top and bottom, and the flow lines converge toward their initial spacing and position.’
‘Everything about New York's Madison Square Garden is unique, from the design of its circular ceiling to the fact that three railroad and seven subway lines converge beneath it.’
meet, intersect, cross, come together, connect, link up, coincide
1.1Come together from different directions so as eventually to meet.
‘convoys from America and the UK traversed thousands of miles to converge in the Atlantic’
‘At the breakdown our back row would then be converging from two different directions.’
‘The random walk eventually converges to a stationary distribution.’
‘The city is made of people who converge, coming from different parts of the State.’
‘As the clock ticks towards midday, tour groups converge from every direction on St Mary's, the Church of the Assumption of the Virgin, to witness the opening of the high altar.’
‘The key, however, is that on some level these different sounds must converge in the listener's mind and make sense together.’
‘Eventually all plot strands converge in a climax of mayhem and carnage and everything gets ‘sorted’.’
‘The lake was developed to a rowing racing standard and on August 4, fifteen different nations converged for the opening heats.’
‘Instead, it is a collection of rules and practices employed by various partisans at different times that converge to shape the electorate in a single campaign.’
‘Until then, the area had been routinely clogged by traffic converging from five directions.’
‘All the waters will converge in one direction sweeping away all obstacles.’
‘In truth, they were supposed to be stationed at every twenty metres along the wall, but they all converged together out of sheer boredom.’
‘Pre-existing winds, those not created by the storm, are relatively light, converging or coming together near the surface from different directions.’
‘They quickly spread outwards into ten lights in each direction, and then converged into two lights as if lining up.’
‘In the first place, a large number of people, machines, and materials must converge and act together for it to come into existence at all.’
‘Because of these concerns converging together in recent weeks, anxiety about the direction of the country has escalated.’
‘And it really is kind of symbolic of how in life in one little moment so many different lives can be converging, can be affecting each other without knowing.’
‘As the harvesting effort is increased, the two equilibrium points eventually converge to one point, at which there is a catastrophe.’
‘Forces and trends that will make capital punishment one of the defining issues of the coming year are converging from several directions.’
‘One hundred and fifty people converged together to try to convert some creative initiatives into commercial reality.’
‘They exchange as many as 5 to 15 messages throughout the day that progressively narrows in on a time and place, two points eventually converging in a coordinated dance through the urban jungle.’
1.2converge on/uponCome from different directions and meet at (a place)
‘half a million sports fans will converge on the capital for the London Marathon’
‘Supporters had converged on the centre from every corner of Greater Manchester.’
‘When they meet, tens of thousands of fevered supporters converge on an intimidating stadium believing it to be the greatest derby on earth.’
‘With hordes of people converging on these malls at once, the traffic situation becomes unmanageable leading to endless traffic jams and chaos.’
‘You currently have all the blocks moving from different directions converging on the Arctic by large angles, yet the Arctic itself got bigger.’
‘The bike ride represented the first major clash between police and demonstrators converging on the city for the convention.’
‘Squatters had occupied the building earlier that morning, but were cleared out within 15 minutes of police converging on the scene.’
‘That they were prevented from converging on their target destination left the protesters no option but to stage their demonstrations where they were.’
‘By mid-day ambulances, fire engines and police vehicles from all over the county were converging on the city.’
‘The couple joined an estimated 530,000 protesters who started converging on Victoria Park well before 3pm.’
‘At the venue later, a stagehand tells me that the airlines flying into Reno used to have lots of problems because of all the bowlers converging on this city.’
‘Over 2,000 people of Indian origin worldwide are converging on the capital.’
‘Yes, there were thousands and thousands of people converging on inner-city Atlanta for the tournament you're talking about.’
‘But it was still not time - darkness had not yet fully fallen - and as every minute passed more and more people were converging on the riverfront.’
‘Yet as the party faithful and more than 200,000 protestors converge on the city, the President will arrive in New York needing a triumph.’
‘But, the sea of people converging on the floor may have engulfed them because I don't see them any more.’
‘It was one of those rare moments of my life when people I knew from completely different spheres somehow managed to all converge on one spot.’
‘Instead we spilled out of the coaches earlier and joined the throngs already converging on the city centre by foot.’
‘This will involve three separate marches converging on the city centre.’
‘Masses of people converged on the city centre to a feast of entertainment and fun.’
‘Meanwhile the battle for votes in the area has intensified, with teams of canvassers from all parties converging on both town and country in search of support.’
proceed towards, come towards, go towards, advance towards, go near, go nearer, come near, come nearer, draw near, draw nearer, come close, come closer, go close, go closer, draw close, draw closer, move near, move nearer, edge near, edge nearer, near
1.3(of a number of things) gradually change so as to become similar or develop something in common.
‘the aims of the two developments can and should converge’
‘On the one hand, I address what it means for law and popular culture to converge.’
‘It is probably truer to see the culture of Britain - at least in the South and East, and at the top layers of society, and to varying extents in different places - as converging with the Roman way of life.’
‘All of them were different, yet all eventually converged to the one thought.’
‘It concludes that there is no single model of institutional arrangements to which the capitalist world must converge, but that different models may be equally suited to successful economic developments.’
‘Because of the averaging effect of great space and long lives, the average environment experienced by individual members of different species may also converge.’
‘Eventually, both stories converge in an action-packed finale straight out of the Hollywood playbook (not to mention patently absurd in so many ways that it boggles the mind).’
‘These different beats converge into one time, one becoming.’
‘Based on a novel by Ruth Rendell, this compelling tale is told in neat subsections which gradually converge.’
‘This is another of those interesting regions in which two very different developmental domains converge.’
‘This assertion raises the question of whether institutions in different locales will converge or diverge over time.’
‘Everybody was giving their opinions, but eventually the opinions converged.’
‘Modern routers have thus come to resemble telephone switches, whose technology they are currently converging with and may eventually replace.’
‘By generating new hypotheses and weeding out false hypotheses, or hypotheses that perform poorly relative to others, the university of scholars will eventually converge to the Truth.’
‘Rather it will slowly evolve as conceptual developments and research methods converge.’
‘And since the whole country is yearning for peace, I believe these different points of view will finally converge in a grand national consensus.’
‘Sometimes Asian performance art and body art converge with developments in the West.’
‘It's only over the past few months that the original and revised payroll counts have started to converge.’
‘Edgy technology converges with pop culture and creates a new kind of social connectivity.’
‘I am amazed by its astounding diversity where so many cultures converge in a spirit of oneness and harmony.’
‘Thus the interests of order-givers of different social classes often converge, forming a virtual class culture that has similar attitudes.’
2Mathematics (of a series) approximate in the sum of its terms towards a definite limit.
‘the powers of E therefore converge very slowly indeed’
‘He also gave an example of a trigonometric series which converged in one interval but diverged in a second interval.’
‘The limit of an infinite sequence of numbers often possesses properties not shared by any member of the sequence of terms that converges to it.’
‘In fact, the sequence converges to a limit whose value is 2.7182818.’
‘This is an arduous task by hand with a series which converges as slowly as this.’
‘Since these series converge very rapidly, they can be used to calculate the digits of [pi] and other numbers.’
Origin
Late 17th century: from late Latin convergere, from con- ‘together’ + Latin vergere ‘incline’.