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The phrase "approximately the same space" is correct and usable in written English.
It can be used when discussing measurements, distances, or areas that are similar but not identical.
Example: "The two rooms are approximately the same space, making them suitable for similar purposes."
Alternatives: "roughly equivalent area" or "about the same size".
Exact(3)
Photographed with a quarter for scale (most mobiles take up approximately the same space as a basketball when in motion).
The piperidine of BDP5290 occupies approximately the same space as the fasudil piperazine [ 11].
At site 1, the imidazo[1,2- b]pyridazine scaffold occupies approximately the same space as the adenine ring of ATP and makes a single hydrogen bond with the backbone amide nitrogen atom of Ala-553 in the kinase hinge region.
Similar(57)
\\ \end{aligned} $$\end{document} In our experiments, we used five different scales (L = 5), accordingly spanning approximately the same scale space as the contrast-saliency model.
The Ivy Bridge design allows approximately twice as many transistors to be crammed into the same space as on 32nm chips.
It happens in the same space".
But not the same space.
Often they occupied the same space.
Everybody was in the same space.
The human homologue, hRad51 forms very similar nucleoprotein filaments with approximately the same average spacing (5.1 A/bp) but it polymerizes on single-stranded DNA with a polarity opposite to that of RecA (3' to 5').
CBRE will occupy 125,771 square feet on the 19th, 20th, 21st and 22nd floors; it currently occupies approximately the same amount of space on floors 17 through 19.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com