{"id": "card_chain_saint_vincent_1647", "kind": "reference", "title": "Saint-Vincent 1647 — Opus geometricum quadraturae circuli et sectionum coni", "body": "G. de Saint-Vincent (1647). Opus geometricum quadraturae circuli et sectionum coni. Antwerp, 1647. Cited by its record. License as found: public domain (the author died more than a century ago, or the work was published before 1930). What it gave the chain: the area under the hyperbola grows by equal amounts as x grows geometrically - the logarithm as an area (read as such by de Sarasa, 1649).", "source": {"label": "G. de Saint-Vincent (1647), Antwerp, 1647", "url": "", "domain": "mathematics", "authority_tier": "reference"}, "shelf": "codex", "box": "chain", "bands": ["chain", "record", "1647", "saint-vincent", "mathematics"], "subject": "Opus geometricum quadraturae circuli et sectionum coni", "connections": [{"to_card_id": "card_floor_logarithm", "relationship": "part_of", "evidence": "a root of this chain - one of the two trees it began from"}, {"to_card_id": "card_chain_mercator_1668", "relationship": "enables", "evidence": "log(1 + x) = x - x^2/2 + x^3/3 - ... : the logarithm as a series"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.chain", "facets": {"subject": ["1647", "mathematics", "record", "saint-vincent"]}, "presentation": {"glyph": "•", "kind_label": "chain", "by": "G. de Saint-Vincent (1647), Antwerp, 1647", "authority": "reference", "posted": "", "standing": ""}, "neighbors": [{"id": "card_floor_logarithm", "title": "The logarithm - the instrument the joints share", "relationship": "part of", "why": "a root of this chain - one of the two trees it began from", "href": "/card/card_floor_logarithm", "resolved": true}, {"id": "card_chain_mercator_1668", "title": "Mercator 1668 — Logarithmotechnia", "relationship": "enables", "why": "log(1 + x) = x - x^2/2 + x^3/3 - ... : the logarithm as a series", "href": "/card/card_chain_mercator_1668", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_chain_saint_vincent_1647", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_chain_saint_vincent_1647"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}