Did I interprete 過ごす correctly here? For full context, see here: < it is taken from line 7-8: => "Then, concerning the buildings inclination, it was decided considering the inclination of wind and the sun. Because it takes care of that the wind resistance is low and that it is warm in the summer and that it is cool in the winter." "to take care" is classified as an archaism on jisho < so I wanted to ask wether this archaic interpretation is justified here or if I just understood it all wrong..^^

>

The means "to spend (time)". From :

>
>

And in your example:
/etc."spend the summer (in the manner of...)"
/etc."spend the winter (in the manner of...)"
(The contrastive 's have replaced 's in your example)

The means "so that (they) can..." "for the purpose of..."

So literally means "It is for the purpose of spending the summer cool, and the winter warm".

breakdown:
and; also; besides
as for what direction the building faces,
considering the directions of the wind and the sun
...has been decided.
make wind resistance smaller; decrease wind resistance
spend the summer cool and the winter warm
so that (they) can... / it is for the purpose of...

Put together:

And, as for what direction the building faces, it has been decided considering the directions of the wind and the sun. It is for the purpose of decreasing wind resistance, and spending the summer cool and the winter warm.