The phrase "at the same points" is correct and usable in written English.
It can be used to indicate that something occurs or is relevant at specific locations or moments that are identical or equivalent.
Example: "The two lines intersect at the same points on the graph, indicating a solution to the equation."
Alternatives: "at the identical locations" or "at the corresponding moments".
"We were all at the same points in our lives," said Sally Cohen Alameno, whose husband, Andy, 37, worked for seven years on the desk with that group.
The buildings were in the same places; the bridges crossed the river at the same points; the streets followed the same obscure yet familiar logic; the layout of the city was unaltered.
President Obama's history of public approval resembles that of Ronald Reagan's at the same points in their respective terms: both were sliding, according to nationwide polls conducted by The New York Times and CBS News.
In other words, they save America's great cities from ageing rapidly.But although Hispanic immigrants arrive at the same points of entry as their Irish and Italian predecessors, they soon spread to the rest of the country.
In three days, there were at least a half-dozen, including Lou Dalton, Topman, Christopher Shannon, Richard Nicoll, James Long and Mr. Saunders, which suggests they are all looking at the same points of reference, more often magazines like Fantastic Man than GQ.
Because Titan has more than 50 times the mass of Hyperion and always transmits the most momentum to the smaller moon at the same points along its orbit, Hyperion is forced by these periodic "shoves" into a relatively elongated (eccentric) orbit.
Comparatively, at the same point, after Hurricane Katrina in 2005, $1.3 billion had been raised; at the same point after the Indian Ocean tsunami in 2004, $610 million.
At the same point in the 2005-6 seasonlyonly three goalies had played 2,200 minutes.
