You can make that easily with the Marvelous Thomthom Guide Tools!
Select all your lines : Guide Tools / CPoint (Construction Point) Edge-Edge
so you have a CPoint at each intersection! 😎
Select your Component + All your lines ( you are not obliged to selected only CPoints ! )
Guid tools / Insert Components at Cpoints ☀
So you have your result! 👍
Select only Cpoint with the fabulous Selection Toys again by Thomthom: Kill them
Of Course you will must Change orientation of your Components following general orientation of your lines !
Or in your case maybe use 4 differents components (or more)depending of the project
Or rotate some of them after a general ThomThom Guide Tools use if you want just one component
