{"corpus":"steiner","locus":"GA 151/1914-01-20/p021","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"Let us suppose that we do not draw the triangle so that we simply say: Now I have drawn you a triangle, and here it is: In that case the objection could always be raised that it is an acute-angled triangle; it is not a general triangle. The triangle can be drawn differently. Properly speaking it *cannot*, but we shall soon see how this “can” and “cannot” are related to one another. Let us take this triangle that we have here, and let us allow each side to move as it will in any direction, and moreover we allow it to move with varying speeds, so that next moment the sides take, e.g., these positions:","text_trust":"verbatim","quote_safe":true,"title":"Lecture I","site_heading":"Thought as Gateway to Cosmic Understanding","site_heading_note":"A heading the site wrote for this unit from a summary of it; not in the edition, and not the words of Rudolf Steiner or of the translator. Cite the unit by its title and locus, never by this heading, and do not quote it.","date":"1914-01-20","location":null,"word_count":115,"url":"https://anthroposophy.ai/v1/steiner/en/ga/151/1914-01-20/p021","alignment_confidence":"high","alignment_reason":"beads:length","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Charles Davy","identified_edition":"RSP1961","book_title":"Human and Cosmic Thought (1961)","publisher":"Rudolf Steiner Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA151/English/RSP1961/19140120p01.html","evidence":"edition_cover_credit","note":"The lecture's own page names no translator; the cover of the book it was taken from (https://www.rsarchive.org/Lectures/GA151/English/RSP1961/HuCoTh_index.html) lists it and names the translator. Where the cover names several, it does not say which lecture each translated.","publisher_note":"The publisher is inferred from the edition code in this lecture's source URL, not stated by the source page. The translator IS verified for this lecture: its own source names the translator (evidence: the lecture's page, rsarchive's lecture list, or the cover of the book it was published in), and that page's text was matched against this unit (see match_score and source_url). Cite the translator with confidence; attribute the publisher only as probable."},"edition_coverage":{"de":["original"],"en":["English"]},"available_versions":[{"lang":"de","edition":"original","edition_basis":null,"is_original":true,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/de/ga/151/1914-01-20/p021"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/151/1914-01-20/p021","paragraph_aligned":true}],"record":{"record_type":"unknown","scope":"volume","note":"How this text was taken down (shorthand transcript, listeners' notes or manuscript) is not on record here. Unknown is not an assurance of a stenogram: check the edition's own notes before resting an argument on one word.","evidence":null,"evidence_translation":null,"evidence_source":null},"other_renderings":{"loci":[{"locus":"GA 151/1914-01-20_02","ga":"151","lecture":"1914-01-20_02","kind":"renderings","relation":"another translation or transcription of the same lecture"}],"note":"The same lecture is also served at the loci listed, each with how it relates to this one. They are ONE witness, not independent attestations: quote the rendering you fetched, and do not cite another as corroborating it. Wording differs between translations, so a quotation found in one need not occur in the other."},"german_anchor":{"de_prefix":"1914-01-20","de_passages":[{"locus":"GA 151/1914-01-20/p018","url":"https://anthroposophy.ai/v1/steiner/de/ga/151/1914-01-20/p018"}],"bead_confidence":"high","pairing_state":"proposed","verified":false,"length_check":{"de_words":116,"en_words":115,"ratio":0.99,"partial":false},"correspondence":"established","note":"English passage numbering is edition-relative, so the same number need not name the same paragraph in the German. The German original passage(s) above are the edition-invariant anchor — fetch them (lang='de') to verify wording before quoting across editions."},"paired_german":{"status":"paired","german":[{"locus":"GA 151/1914-01-20/p018","passage_number":18,"text":"Denken wir uns, wir zeichnen das Dreieck nicht einfach so hin, daß wir sagen: Jetzt habe ich dir ein Dreieck hingezeichnet, und da ist es. - Da wird immer der Einwand gemacht werden können: Das ist eben ein spitzwinkliges Dreieck, das ist kein allgemeines Dreieck. Man kann das Dreieck nämlich auch anders hinzeichnen. Eigentlich kann man es nicht; aber wir werden gleich sehen, wie sich dieses Können und Nichtkönnen zueinander verhalten. Nehmen wir an, dieses Dreieck, das wir hier haben, zeichnen wir so hin und erlauben jeder einzelnen Seite, daß sie sich nach jeder Richtung, wie sie will, bewegt. Und zwar erlauben wir ihr, daß sie sich mit verschiedenen Schnelligkeiten bewege (an der Tafel zeichnend gesprochen):","text_trust":"verbatim","quote_safe":true,"word_count":116,"url":"https://anthroposophy.ai/v1/steiner/de/ga/151/1914-01-20/p018"}],"english":["GA 151/1914-01-20/p021"],"method":"length","confidence":"high","correspondence":"established","length_check":{"de_words":116,"en_words":115,"ratio":0.99,"partial":false},"pairing_state":"proposed","verified":false},"witness_completeness":{"ratio":0.97,"band":"comparable","note":null,"word_count":5201,"original_word_count":5374,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Charles Davy","identified_edition":"RSP1961","book_title":"Human and Cosmic Thought (1961)","publisher":"Rudolf Steiner Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA151/English/RSP1961/19140120p01.html","evidence":"edition_cover_credit","note":"The lecture's own page names no translator; the cover of the book it was taken from (https://www.rsarchive.org/Lectures/GA151/English/RSP1961/HuCoTh_index.html) lists it and names the translator. Where the cover names several, it does not say which lecture each translated.","publisher_note":"The publisher is inferred from the edition code in this lecture's source URL, not stated by the source page. The translator IS verified for this lecture: its own source names the translator (evidence: the lecture's page, rsarchive's lecture list, or the cover of the book it was published in), and that page's text was matched against this unit (see match_score and source_url). Cite the translator with confidence; attribute the publisher only as probable."},"entity_parity":{"status":"ok","checked_against":["GA 151/1914-01-20/p018"],"missing_from_translation":[],"present_only_in_translation":[],"bead_confidence":"high","note":"Every load-bearing name in the German counterpart appears in this English passage. That is a check on NAMES only: a translation can keep every name and still reverse who acts on whom, change a number, or soften a claim. Read the German for anything you intend to rest an argument on."},"note":"quote_safe certifies the bytes of this text. This block is about the translation as a WITNESS: who made it, and whether it carries the same names as the original. See witness_completeness for how much of the original this witness holds."}}