{"query": "Euler 1737 — Variae observationes circa series infinitas (E7", "count": 20, "results": [{"id": "card_theory_honeycomb_conjecture", "title": "Optimal packing & the honeycomb conjecture (Hales)", "shelf": "theories", "surface": "secular", "snippet": "The hexagonal grid is the most efficient way to divide a surface into regions of equal area with the LEAST TOTAL PERIMETER. Stated by Pappus of Alexandria around 300 AD as an observation about bees, i", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_big_bang_cosmology_expansion", "title": "Big Bang cosmology & expansion (Hubble's law)", "shelf": "theories", "surface": "secular", "snippet": "Big Bang cosmology & expansion (Hubble's law) — an engine domain that can touch it: astronomy. Calibration: partial — the Hubble relation verifies; the origin claim is map-only (RESONANCE). v = H₀d: r", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_heliocentrism_kepler_s_laws", "title": "Heliocentrism & Kepler's laws", "shelf": "theories", "surface": "secular", "snippet": "Heliocentrism & Kepler's laws — an engine domain that can touch it: astronomy. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it. Three laws, from Tycho", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_power_laws", "title": "Power laws & heavy tails (Zipf, Pareto)", "shelf": "theories", "surface": "secular", "snippet": "Power laws & heavy tails (Zipf, Pareto) — an engine domain that can touch it: statistics. Calibration: seals — exponents, rank-frequency fits and tail probabilities compute. A distribution where P(x) ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_builder_claudius_ptolemy", "title": "Claudius Ptolemy", "shelf": "builders", "surface": "secular", "snippet": "Claudius Ptolemy (c. 100–170 AD) — science. The gift: predictive mathematical astronomy — the Almagest 'saved the appearances' and forecast the heavens accurately for 1400 years. Where it fell short: ", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_chain_euler_1737", "title": "Euler 1737 — Variae observationes circa series infinitas (E72)", "shelf": "codex", "surface": "secular", "snippet": "L. Euler (1737). Variae observationes circa series infinitas (E72). Comm. Acad. Sci. Petrop. 9 (1737, publ. 1744) 160–188. Canonical: https://scholarlycommons.pacific.edu/euler-works/72/. Free copy: h", "authority_tier": "reference", "source": "L. Euler (1737), Comm. Acad. Sci. Petrop. 9 (1737, publ. 1744) 160–188", "readable": false, "generated": false}, {"id": "card_src_etym_observation", "title": "observation", "shelf": "etymology", "surface": "secular", "snippet": "observation: etymology (Webster 1913) — n.: [L. observatio: cf.F. observation.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_fed_fm6_135", "title": "FM 6-135 Field Artillery Forward Observation, 1944", "shelf": "practical", "surface": "secular", "snippet": "FM 6-135 Field Artillery Forward Observation, 1944. A United States federal publication, public domain (17 USC 105). The full text (76,461 bytes) is held on the ark; waybill sha256 da174704f0d070af…; ", "authority_tier": "reference", "source": "US War Department field & technical manuals (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_fed_nasa_techdoc_19740014778", "title": "NASA directory of observation station locations, volume 2", "shelf": "science", "surface": "secular", "snippet": "NASA directory of observation station locations, volume 2. A United States federal publication, public domain (17 USC 105). The full text (720,252 bytes) is held on the ark; waybill sha256 d07efb363e7", "authority_tier": "reference", "source": "NASA technical documents (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_fed_fm6_120", "title": "FM 6-120 The Field Artillery Observation Battalion and Batteries 1951", "shelf": "practical", "surface": "secular", "snippet": "FM 6-120 The Field Artillery Observation Battalion and Batteries 1951. A United States federal publication, public domain (17 USC 105). The full text (567,592 bytes) is held on the ark; waybill sha256", "authority_tier": "reference", "source": "United States military field manuals (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_fed_fm1_20", "title": "FM 1-20 Army Air Force Field Manual, Tactics And Technique Of Air Reconnaissance And Observation 1942", "shelf": "practical", "surface": "secular", "snippet": "FM 1-20 Army Air Force Field Manual, Tactics And Technique Of Air Reconnaissance And Observation 1942. A United States federal publication, public domain (17 USC 105). The full text (137,222 bytes) is", "authority_tier": "reference", "source": "US War Department field & technical manuals (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_builder_charles_darwin", "title": "Charles Darwin", "shelf": "builders", "surface": "secular", "snippet": "Charles Darwin (1809–1882 AD) — science. The gift: patient, honest observation of variation and natural selection — a real mechanism, carefully evidenced, that reshaped biology. Where it fell short: h", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_src_etym_malobservation", "title": "malobservation", "shelf": "etymology", "surface": "secular", "snippet": "malobservation: etymology (Webster 1913) — n.: [Mal- + observation.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_speculation", "title": "speculation", "shelf": "etymology", "surface": "secular", "snippet": "speculation: etymology (Webster 1913) — n.: [L. speculatio a spying out, observation: cf. F. spéculation.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_aeroscopy", "title": "aeroscopy", "shelf": "etymology", "surface": "secular", "snippet": "aeroscopy: etymology (Webster 1913) — n.: [Aëro- + Gr. Defn: The observation of the state and variations of the atmosphere.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_ornithoscopy", "title": "ornithoscopy", "shelf": "etymology", "surface": "secular", "snippet": "ornithoscopy: etymology (Webster 1913) — n.: [Ornitho- + -scopy: cf. Gr. Defn: Observation of birds and their habits. (R.) De Quincey.]. From Webster's Revised Unabridged Dictionary (1913), public dom", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_contemplate", "title": "contemplate", "shelf": "etymology", "surface": "secular", "snippet": "contemplate: etymology (Webster 1913) — v. t.: [L. contemplatus, p.p. of contemplari to contemplate; con- + templum a space for observation marked out by the augur. See Temple.]. From Webster's Revise", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_prolegomenon", "title": "prolegomenon", "shelf": "etymology", "surface": "secular", "snippet": "prolegomenon: etymology (Webster 1913) — n.: [NL., fr. Gr. Defn: A preliminary remark or observation; an introductory discourse prefixed to a book or treatise. D. Stokes (1659). Sir W. Scott.]. From W", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_principle_carl_von_clausewitz_10634f5bdd", "title": "Carl von Clausewitz: Now there still remains an observation which concerns the essence of the thing.", "shelf": "strategy", "surface": "secular", "snippet": "Now there still remains an observation which concerns the essence of the thing.", "authority_tier": "primary", "source": "Carl von Clausewitz, On War (tr. J. J. Graham) (1873) — Project Gutenberg #1946, public domain", "readable": true, "generated": false}, {"id": "card_src_etym_parenthetic_parenthetical", "title": "parenthetic; parenthetical", "shelf": "etymology", "surface": "secular", "snippet": "parenthetic; parenthetical: etymology (Webster 1913) — a.: [Cf. Gr. 1. Of the nature of a parenthesis; pertaining to, or expressed in, or as in, a parenthesis; as, a parenthetical clause; a parentheti", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_theory_honeycomb_conjecture"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}