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Searching Rudolf Steiner Lectures (GA 82)
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Query was: geometry

Here are the matching lines in their respective documents. Select one of the highlighted words in the matching lines below to jump to that point in the document.

  • Title: Lecture: The Position of Anthroposophy among the Sciences
    Matching lines:
    • which is usually called geometry and, at least in those parts of it
    • outside us. And what we conceive as space, the space we use in geometry
    • — Euclidean geometry, at first — is nothing more than an
    • space we speak of in geometry, we extend our consciousness
    • bring the cubical shape with us from our geometry, knowing that its
    • space of geometry (which the child learns to know from inner
    • is called modern or synthetic geometry.” You see, when one
    • passes from analytic to synthetic geometry — which enables us,
    • these ends and obtain the curves. In analytical geometry we do not
    • lay hold of the forms, whereas in synthetic geometry we live within
    • things inwardly. In this way the student learnt Geometry
    • through inward exercises, and this geometry, as something involving
    • synthetic geometry that I became clear about the clairvoyant's
    • procedure. Naturally, not everyone who has studied synthetic geometry
  • Title: Lecture: Anthroposophy and the Visual Arts
    Matching lines:
    • place, Euclidean geometry — we set out, as you all know, from a
    • one advances beyond ordinary perception, which suffices for geometry,
    • analytical geometry, as one constructs Euclidean space. One can,



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