“Surely the Lord GOD will do nothing, but he revealeth his secret unto his servants the prophets.”
“Now therefore ye are no more strangers and foreigners, but fellowcitizens with the saints, and of the household of God; and are built upon the foundation of the apostles and prophets, Jesus Christ himself being the chief corner stone; in whom all the building fitly framed together groweth unto an holy temple in the Lord”
“I the Lord, knowing the calamity which should come upon the inhabitants of the earth, called upon my servant Joseph Smith, Jun., and spake unto him from heaven, and gave him commandments.”
Doctrine and Covenants 1:17
There is no known historical account of the means by which the children of Israel disassembled the Tabernacle, moved, and then reared it up while in the wilderness. What follows therefore is nothing more than my personal theory of how the Tabernacle could have been raised with exact precision after every transportation.
Upon arriving at the spot designated by the Lord as to where the children of Israel should set up camp, I believe the location of where the ark of the covenant was to rest would be first established. The following image therefore depicts the spot chosen by the Lord for where the ark would rest.
With the resting place of the Ark established, the next order of business would be to establish the rest of the structure around this spot. Twenty five cubits in all four cardinal directions would establish the northern, western, and southern boundaries of the courtyard. Twenty five cubits to the east would establish the eastern most side of the inner-sanctuary.
Continuing with this twenty five cubit measurement, twelve locations around the perimeter of the courtyard would be established and squared for accuracy.
Using the imagery based on figures 4 and 5 from this link, the following lines would be connected between these key twelve locations. By connecting these twelve key points with one another, every vessel and the placement of the inner-sanctuary could be replicated and placed with exactness after every transportation.
The following image shows how eight key intersection points (as depicted by the smaller circles) establish a line that is five cubits north and south of the center line, or two parallel lines ten cubits apart. This is the exact dimension of the width of the Holy Place, and the width and length of the Most Holy Place.
With these key intersection points staked out, the foundations stones could be laid with exact precision around the future resting spot of the ark. The following image depicts the foundations stones partially covering the smaller circles established from the preceding image.
Exodus 40:2 states the sideboards were first set up on top of the foundation sockets, followed by the four coverings. The following image depicts the installation of the sideboards. Note that the coverings have not been depicted as being installed.
Exodus 40:3 states the Ark was then placed in the Most Holy place.
This method of intersecting lines provides three key intersecting points in the Holy Place by which the three vessels of that room could be accurately placed (as indicated by the three red circles). This method not only establishes the location of the inner-sanctuary, it establishes the location of all vessels.
The following image shows the placement of the table of shewbread, the altar of incense, and the candlestick on the three previously indicated intersection points. Also shown is the placement of the laver and altar of burnt offerings over their intersection points as well as the establishment of the sixty courtyard pillars. The first key twelve points indicated would also serve as a proper spacing guide between the pillars and the resting place for the twelve key pillars.
This final image shows the entire tabernacle assembled. This intersection of lines method, was simple, easy to reproduce, and provided exactness in keeping with the strict requirements of the Law of Moses.