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Brittain, R. C. (1973). A Critical History of Systems of Sentence Diagramming in English. PhD thesis, University of Texas at Austin.
Brown, G. (1845 ). The Institutes of English Grammar, Methodically Arranged (stereotype ed.). New York: Samuel and William Wood.
II. THE CLAD ORDER,
(This page was last updated October 17, 2015.)
As she notes, diagramming a sentence tells you nothing about the sentence's meaning:
The constituency problem, as Jangari correctly noted, concerns the prepositional phrase "with the solemn precision of scientists articulating chemical equations." The original diagramming indicates that the "we" of the sentence are learning with precision, but it seems much more natural to assume that it is the diagramming that occurs with precision. In other words, the PP modifies diagram, not learned.