A tree's branches sum to its trunk's cross-section
Two studies: widening arcs iK to ab gauge yearly growth, and every branch orients toward the center m.
Two studies of a tree's ramification fill the right of the leaf. In the first, widening arcs cross the branches at successive degrees marked iK, gh, ef, cd and ab, illustrating the note that the branches of a given year, added together, have the same total cross-section as the trunk, and that this holds at every level unless the tree is deformed. In the second, the crown is enclosed in a circle and the branches are shown radiating from and directed toward the center, m, of the tree.
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Branch cross-sections add up to the trunk's
In the first tree, widening arcs cross the branches at successive stages marked iK, gh, ef, cd and ab. The note states that the branches of a given year, added together, have the same total cross-section as the trunk, and that this equality holds at every degree of ramification unless the tree is deformed.
All branches oriented toward the center m
The second tree is enclosed in a circle, its crown analysed from a central point m. The branches are shown radiating from and directed toward this center m, with one span of the trunk marked a and b.