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Abstract In attempting to identify how the ground plans of medieval churches were initially staked out, it has been noted that the width of a given element (an aisle or a pier) equals the difference between two given distances in a square appearing in that same church; in a church plan constructed on a square module with the side 1 and the diagonal $${\sqrt{2}}$$ , several distances in that plan would be produced, such as $${\sqrt{2}-1}$$ and $${1-\sqrt{2}/2}$$ , a fact that is rather well known. However, the difference between those two measurements has been used. How did the original constructor actually create that difference of differences onsite? The answer was found thanks to a plan of the Dalby church (ca. 1060) and a little cord which simply needed to be folded.
Abstract In attempting to identify how the ground plans of medieval churches were initially staked out, it has been noted that the width of a given element (an aisle or a pier) equals the difference between two given distances in a square appearing in that same church; in a church plan constructed on a square module with the side 1 and the diagonal $${\sqrt{2}}$$ , several distances in that plan would be produced, such as $${\sqrt{2}-1}$$ and $${1-\sqrt{2}/2}$$ , a fact that is rather well known. However, the difference between those two measurements has been used. How did the original constructor actually create that difference of differences onsite? The answer was found thanks to a plan of the Dalby church (ca. 1060) and a little cord which simply needed to be folded.
Making a Difference
Mogensen, Lone (author)
Nexus Network Journal ; 13 ; 431-443
2011-06-08
13 pages
Article (Journal)
Electronic Resource
English
Church , basilica , narthex , atrium , royal mansion , Scania , Denmark , Sweden , Medieval architecture , Euclidean geometry , ad quadratum , modules , measuring systems , descriptive geometry , symbolism Mathematics , Mathematics, general , History and Philosophical Foundations of Physics , Popular Science, general , History, general
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