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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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