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Literary notes about Projection (AI summary)

The term “projection” serves a variety of functions in literature, embodying both concrete and abstract meanings. In architectural and geometric contexts, it is employed to specify physical extensions or the mapping of shapes onto different planes, as seen in discussions of column ornamentation and mathematical mappings ([1], [2], [3], [4], [5], [6]). At the same time, authors invoke “projection” to capture the process of externalizing inner emotions or ideas, a concept explored in psychological and philosophical discourse ([7], [8], [9]). Moreover, narrative descriptions use “projection” to detail natural or constructed features—ranging from coastal outcrops to elements of dramatic set pieces—that enhance visual imagery and spatial understanding ([10], [11]).
  1. Over the frieze comes the line of dentils, made of the same height as the middle fascia of the architrave and with a projection equal to their height.
    — from The Ten Books on Architecture by Vitruvius Pollio
  2. Let the corona and its cymatium at the top of all be carved without ornamentation, and have a projection equal to its height.
    — from The Ten Books on Architecture by Vitruvius Pollio
  3. The projection of the base will be three sixteenths of the thickness of a column.
    — from The Ten Books on Architecture by Vitruvius Pollio
  4. Ratio of the elementary displacement and the velocity of a point to the displacement, and velocity of its projection upon a straight line or plane.
    — from The Declaration of Independence of the United States of America by Thomas Jefferson
  5. A plane being given, to find the angles which it forms with the planes of projection.
    — from The Declaration of Independence of the United States of America by Thomas Jefferson
  6. The projection of a plane area on a plane is equal to the product of that area by the cosine of the angle of the two planes.
    — from The Declaration of Independence of the United States of America by Thomas Jefferson
  7. The morbid process in paranoia actually uses the mechanism of projection to solve such conflicts which arise in the psychic life.
    — from Totem and Taboo by Sigmund Freud
  8. The projection of peril from the libido into the environment is never very successful.
    — from A General Introduction to Psychoanalysis by Sigmund Freud
  9. While objects and events were capriciously moralised, the mind's own plasticity has been developed by its great exercise in self-projection.
    — from The Life of Reason: The Phases of Human Progress by George Santayana
  10. He drifted behind a projection of the coast, and Mr. Barker followed along the shore in the same direction.
    — from Far from the Madding Crowd by Thomas Hardy
  11. The ladies had passed near it in their way along the valley, but it was screened from their view at home by the projection of a hill.
    — from Sense and Sensibility by Jane Austen

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