{"query": "The 3-4-5 the builders use to square a corner", "count": 20, "results": [{"id": "card_works_framing_square", "title": "The 3-4-5 the builders use to square a corner", "shelf": "the-works", "surface": "secular", "snippet": "A triangle with sides 3, 4, 5 is exactly right-angled — 3² + 4² = 5². It is why a knotted rope or a framing square gives a true corner without a protractor.  Worked & sealed by the engine — 3² + 4² = ", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_theory_pythagorean_theorem", "title": "Pythagorean theorem", "shelf": "theories", "surface": "secular", "snippet": "Pythagorean theorem — an engine domain that can touch it: geometry. Calibration: seals. In a right triangle, a² + b² = c². Known in practice to Babylonian and Egyptian builders long before its Greek p", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_comparative_advantage", "title": "Comparative advantage", "shelf": "theories", "surface": "secular", "snippet": "Comparative advantage — an engine domain that can touch it: economics. Calibration: seals — opportunity-cost ratios compute. Ricardo, 1817, and the least intuitive true statement in economics: two par", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_builder_peter_higgs", "title": "Peter Higgs", "shelf": "builders", "surface": "secular", "snippet": "Peter Higgs (1929-2024 AD) - physics. the mechanism (1964) by which gauge bosons acquire mass through spontaneous symmetry breaking - the Higgs field (A builder of the Floor of Discovery, credited wit", "authority_tier": "reference", "source": "The builders of the Floor - credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_builder_james_clerk_maxwell", "title": "James Clerk Maxwell", "shelf": "builders", "surface": "secular", "snippet": "James Clerk Maxwell (1831–1879 AD) — science. The gift: the unification of electricity, magnetism and light into four equations — the template for every later unification in physics. Where it fell sho", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_builder_albert_einstein", "title": "Albert Einstein", "shelf": "builders", "surface": "secular", "snippet": "Albert Einstein (1879–1955 AD) — science. The gift: special and general relativity — a re-founding of space, time and gravity, and one of the deepest unifications ever achieved. 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_n_c0950f401038", "title": "Barnabas VI", "shelf": "patristics", "surface": "witness", "snippet": "announced by the prophets._ When, therefore, He has fulfilled the commandment, what saith He? “Who is he that will contend with me? let him oppose me: or who is he that will enter into judgment with m", "authority_tier": "father", "source": "Epistle of Barnabas (trans. Roberts-Donaldson, 1885)", "readable": false, "generated": false}, {"id": "card_builder_johannes_kepler", "title": "Johannes Kepler", "shelf": "builders", "surface": "secular", "snippet": "Johannes Kepler (1571–1630 AD) — science. The gift: the three laws of planetary motion — he broke the 2000-year spell of the circle and found the ellipse, uniting physics and astronomy. Where it fell ", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_floor_standard_model", "title": "The floor of the Standard Model - where two trees meet", "shelf": "codex", "surface": "secular", "snippet": "The Standard Model of particle physics stands on two roots: Maxwell's electromagnetism (the electromagnetic tree) and Fermi's 1933 theory of the weak interaction (the weak tree), both on quantum mecha", "authority_tier": "engine_derived", "source": "Narrow Highway - the Standard-Model chain (operator seed)", "readable": false, "generated": false}, {"id": "card_food_companion_rotation", "title": "Companion planting and crop rotation", "shelf": "agriculture", "surface": "secular", "snippet": "Don't grow the same crop in the same spot year after year — ROTATE by plant family so pests and diseases can't build up and so heavy feeders (corn, brassicas) follow soil-builders (beans, peas, which ", "authority_tier": "reference", "source": "USDA Farmers' Bulletins & extension guidance (U.S. government, public domain)", "readable": false, "generated": false}, {"id": "card_builder_abdus_salam", "title": "Abdus Salam", "shelf": "builders", "surface": "secular", "snippet": "Abdus Salam (1926-1996 AD) - physics. electroweak unification (1968), independently with Weinberg and Glashow (A builder of the Floor of Discovery, credited with love and calibrated to the one plumb-l", "authority_tier": "reference", "source": "The builders of the Floor - credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_builder_steven_weinberg", "title": "Steven Weinberg", "shelf": "builders", "surface": "secular", "snippet": "Steven Weinberg (1933-2021 AD) - physics. electroweak unification (1967) - the theory that joins electromagnetism and the weak force, where the two trees connect (A builder of the Floor of Discovery, ", "authority_tier": "reference", "source": "The builders of the Floor - credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_builder_kurt_g_del", "title": "Kurt Gödel", "shelf": "builders", "surface": "secular", "snippet": "Kurt Gödel (1906–1978 AD) — mathematics. The gift: the incompleteness theorems — the proof that any sufficient formal system holds truths it cannot itself prove: no system can be its own complete grou", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_builder_louis_pasteur", "title": "Louis Pasteur", "shelf": "builders", "surface": "secular", "snippet": "Louis Pasteur (1822–1895 AD) — science. The gift: germ theory, vaccination, pasteurization, the fall of spontaneous generation — he saved untold millions of lives. Where it fell short: little fell sho", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_builder_chen_ning_yang", "title": "Chen Ning Yang", "shelf": "builders", "surface": "secular", "snippet": "Chen Ning Yang (1922-2024 AD) - physics. non-abelian gauge theory with Mills (1954), and with Lee the prediction of parity violation (1956) - the trunk of the Standard Model (A builder of the Floor of", "authority_tier": "reference", "source": "The builders of the Floor - credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_builder_michael_faraday", "title": "Michael Faraday", "shelf": "builders", "surface": "secular", "snippet": "Michael Faraday (1791–1867 AD) — science. The gift: electromagnetic induction and the field concept — the foundation of every motor, generator and the electrical age itself, all from a self-taught boo", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "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_builder_alan_turing", "title": "Alan Turing", "shelf": "builders", "surface": "secular", "snippet": "Alan Turing (1912–1954 AD) — mathematics. The gift: the theory of computation — the Turing machine defined what an algorithm is and founded computer science; his codebreaking helped end a war. Where i", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_builder_enrico_fermi", "title": "Enrico Fermi", "shelf": "builders", "surface": "secular", "snippet": "Enrico Fermi (1901-1954 AD) - physics. the first theory of the weak interaction (beta decay, 1933) - the root of the weak tree (A builder of the Floor of Discovery, credited with love and calibrated t", "authority_tier": "reference", "source": "The builders of the Floor - credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_comm_john_gill_act_4_11", "title": "John Gill on Acts 4:11", "shelf": "commentary", "surface": "witness", "snippet": "This is the stone,.... That is, this Jesus of Nazareth, by whose name the lame man was made whole, is that stone spoken of in Psalm 118:22 by whom is meant the true Messiah, comparable to a stone, for", "authority_tier": "reference", "source": "John Gill's Exposition of the Old and New Testaments — Public Domain", "readable": false, "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_works_framing_square"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}