Files
curriculum-project-hub/examples/TH-141/lemmas/Young方程/proof.typ
T
sjfhsjfh c73a2c903f feat(examples): migrate TH-141 sample to declarative layout (WU-6)
Real-content fixture for the end-to-end pipeline. TH-141 (39 parts: 22 segment,
15 lemma, 2 example) migrated from the prototype's typst `#let parts` manifest
to ADR-0008: declarative manifest.toml (project+info+ordered parts+targets) +
per-element element.toml (kind + scalars; examples carry `source`). Content .typ
files copied byte-identical (no math corruption); per-element main.typ + meta.toml
dropped (wiring is now generated). Part order matches source exactly; 5 lemmas
have no proof.typ (optional); no cross-file imports / paralearn refs / figs.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-22 01:33:40 +08:00

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沿固体表面把接触线挪动 $dif x$,单位接触线长度上:固液界面增 $dif x$,固气界面减 $dif x$,液气界面长度按 $cos theta$ 投影增 $dif x cos theta$。总界面能的变化
$ dif F = gamma_(S L) dif x - gamma_(S G) dif x + gamma_(L G) cos theta thin dif x . $
平衡条件 $dif F = 0$ 给出
$ gamma_(S G) = gamma_(S L) + gamma_(L G) cos theta , $
@Young方程。