Toise
The toise is a traditional French unit of length, originating as a body-based measure equivalent to the span of a person's outstretched arms, and historically used for surveying, construction, and scientific measurements from the medieval period through the 19th century.[1][2] Derived from the Latin tensa meaning "stretched out," the toise was one of the foundational units in pre-metric France, where regional variations proliferated due to its anthropometric origins, leading to over 700 distinct measurement units by the late 18th century.[1] Among its notable variants, the toise du Pérou—standardized nationally in 1766 by royal decree following Charles Marie de La Condamine's equatorial expedition—measured approximately 1.949 meters and served as the legal standard for scientific purposes until the metric system's adoption.[2][1] Other forms included the toise de l'Écritoire, based on the distance between fingertips when arms are outstretched, and specialized versions for masonry, such as in medieval architecture where it equated to approximately 1.8 to 2 meters depending on the locale.[2] The toise played a pivotal role in the Enlightenment-era push for measurement reform, as its inconsistencies hindered trade and science; in 1791, the French National Assembly voted to replace it with the metre, defined as one ten-millionth of the Earth's meridional quadrant, marking the birth of the decimal metric system.[3] Provisional metre prototypes were calibrated against the toise du Pérou during geodetic surveys led by astronomers Jean-Baptiste Delambre and Pierre Méchain from 1792 to 1798, ensuring continuity in length standards.[3][1] Under the Système Usuel (1812–1837), a transitional metric variant set the toise at exactly 2 meters to ease adoption, but it was fully abolished by 1840 as the metric system became mandatory across France.[2] Today, the toise persists in historical contexts, such as real estate in former French colonies like Mauritius and Seychelles, where it denotes land area equivalents.[2]History
Origins and early use
The term toise originates from the Latin phrase tensa brachia, meaning "stretched arms," which underscores its anthropometric foundation as the approximate distance between the fingertips of an adult's outstretched arms, typically spanning about 1.8 to 2 meters. This body-based measure aligned with ancient traditions of using human proportions for practical length estimation, evolving from earlier fathom-like units in European metrology.[2] The toise emerged as a fundamental unit of length in medieval France during the 12th century, amid the broader Carolingian Renaissance's revival of learning and administration.[2] Although direct attribution to Charlemagne is legendary rather than documented, his 8th-century edicts sought to standardize weights and measures across the Frankish Empire to facilitate trade and governance, providing the conceptual groundwork for later units like the toise. By the High Middle Ages, the toise had become integral to regional measurement practices in France. In pre-revolutionary France, the toise served essential roles in land surveying for delineating property boundaries, construction of buildings and fortifications, and everyday trade transactions involving goods and commodities.[2] Its application extended to French colonies, including New France (modern-day Canada) and Louisiana, where it supported colonial administration, mapping, and economic exchanges in the 17th and 18th centuries.[2] A variant known as the toesa appeared in Portugal during the medieval period, adapted from the French toise as part of the Iberian Peninsula's integration of European metrological influences.[4] This unit, equivalent to six Portuguese feet, was employed in construction, land measurement, and trade across Portugal and its colony of Brazil, reflecting cross-cultural exchanges in pre-modern Europe.[4]Standardization in France
The Paris toise standard was established at the Grand Châtelet in Paris by the 14th century, consisting of an iron bar embedded in the wall for public access and verification of measurements.[5] This artifact served as the official reference for length in France, allowing merchants, surveyors, and citizens to calibrate their tools against a fixed national benchmark. Due to wear and distortion from frequent handling and exposure, the French Academy of Sciences oversaw a recasting of the standard in 1667, producing a more durable copy that became known as the "Toise of the Academy."[2] This new version, slightly shorter than its predecessor by about 11.3 millimeters, was intended to address inaccuracies caused by the original's degradation while maintaining continuity in everyday and scientific applications. In 1735, as part of the French Geodesic Mission to Peru aimed at measuring the Earth's meridian arc near the equator, a specialized iron toise standard was constructed to ensure precise geodetic observations.[6] Known as the "Toise of Peru," this artifact measured 1,949.03632 millimeters and proved instrumental in confirming the Earth's oblate spheroid shape; it later influenced French standards when adopted as the official toise in 1766 under the name Toise de l'Académie.[2] To facilitate the transition to the metric system amid resistance to full adoption, a decree issued on February 12, 1812, temporarily redefined the toise as exactly 2 meters within the framework of mesures usuelles, a hybrid system retaining traditional names but aligned with decimal metrics.[7] This adjustment, which divided the toise into six feet of 333.33 millimeters each, remained in effect for retail and customary use until January 1, 1840, when the metric system was fully enforced.[7]Connection to the metric system
During the French Revolution, the toise played a pivotal role as a transitional unit in the shift to the metric system. In 1791, the French Academy of Sciences proposed to the National Assembly a comprehensive decimal-based system of measurements to unify the fragmented local units prevalent across France, explicitly including the toise as one to be replaced; the proposal centered on deriving the fundamental unit of length from one ten-millionth of a quarter of the Earth's meridian arc, a fraction of the planet's circumference determined through geodesic surveys.[8][9] This reform effort culminated in the legal definition of the meter on December 10, 1799, following the completion of meridian arc measurements by astronomers Jean-Baptiste Delambre and Pierre Méchain in Europe, supplemented by earlier equatorial data from the 1735–1744 French Academy expedition to Peru. The meter was precisely specified as 3 pieds and 11.296 lignes of the Toise of the Academy (a platinum standard calibrated from the Peru toise), equivalent to 0.513074 toise, ensuring continuity with existing standards while establishing a universal decimal foundation.[10][11] The adoption of the metric system was formalized by the law of April 7, 1795, which declared it the sole legal framework, yet widespread resistance led to temporary compromises. Napoleon I's 1812 decree on mesures usuelles redefined the toise as exactly 2 meters to ease the transition, allowing dual usage; however, the July Monarchy's law of July 4, 1837, reinstated exclusive metric enforcement, achieving full implementation in metropolitan France by January 1, 1840, after which the traditional toise was officially obsolete.[9][2][12] The toise's legacy extended indirectly into international metrology through the 1875 Metre Convention, signed by 17 nations in Paris, which created the International Bureau of Weights and Measures (BIPM) to preserve and distribute metric prototypes; early calibrations of these prototypes, including the 1889 International Prototype Metre, traced back to the archival meter bar derived from the Academy's toise-based definition, ensuring global consistency in the evolving metric framework.[13][11]Length measurement
Definition and subdivisions
The toise is a traditional unit of length originating in pre-revolutionary France, serving as a fundamental measure approximately equal to 1.949 meters in the Paris standard until 1812.[2] This value, derived from the toise du Pérou established in 1766, corresponded to six royal feet (pieds du roi) and was used extensively in surveying and construction before the adoption of the metric system.[14] The toise was subdivided hierarchically for precision: 1 toise = 6 pieds = 72 pouces = 864 lignes.[15] Each pied consisted of 12 pouces, and each pouce of 12 lignes, allowing for fine measurements in practical applications. The unit's symbol is T, with the plural form "toises" commonly used in historical French texts.[2] Within this system, a basic conversion equation expresses lengths in the smallest subdivision as\text{length in lignes} = \text{toise} \times 864.
This relation facilitated calculations in fields requiring detailed linear assessments.[15]
Variations across regions and periods
During the Napoleonic era, a variant of the toise known as part of the mesures usuelles was decreed in France on February 12, 1812, defining it exactly as 2 meters to facilitate a smoother transition from traditional units to the metric system while retaining familiar names.[16][2] This redefinition lasted until January 1, 1840, when the metric system was fully reinstated as compulsory.[17] In Switzerland, the toise measured approximately 1.8 meters and served as a key unit in local surveying and construction until the adoption of the metric system, which became compulsory in 1877 following optional use since 1868.[18][2] The Portuguese equivalent, known as the toesa, was standardized at 1.98 meters and divided into 6 pés (feet), remaining in use for land measurement and trade in Portugal and its colonies, including Brazil, through much of the 19th century until metrication efforts began in the 1860s and were enforced by 1931.[2] In colonial North America under French influence, the toise was used based on local standards, such as brass rods calibrated for practical use in surveying and fortification.[19][20]Derived units
Area (square toise)
The square toise, denoted as toise carrée, is a unit of area derived from the traditional French linear toise, equivalent to the square of one linear toise.[21] Based on the Paris toise standard of 1.949 meters, one square toise equals approximately 3.799 square meters.[21] To compute the area of a rectangular plot in square toises, multiply the length by the width, with both dimensions expressed in linear toises:A = l \times w
where A is the area in square toises, l is the length in toises, and w is the width in toises.[22] Historical records indicate no further standardized subdivisions for the square toise beyond this direct squaring of the linear unit.[21] This unit was employed in feudal-era land inventories, known as terriers, to quantify plot superficies in France, equating to about 0.00094 acres.[22][23][24]
Volume (cubic toise)
The cubic toise, or toise cube, served as a unit of volume in pre-metric French measurement systems, defined as the volume of a cube with sides equal to one linear toise.[2] Based on the Paris toise standard of 1.9490368 meters, one cubic toise equals the cube of this length, approximately 7.408 cubic meters.[2] This derivation followed from the linear toise comprising six pied du roi (French feet), yielding 216 cubic pied per cubic toise.[2] To compute volume in cubic toises, multiply the length, width, and height, all expressed in linear toises:V = l \times w \times h
where V is the volume in cubic toises and l, w, h are the dimensions in toises.[2] This straightforward formula applied to three-dimensional bulk quantities, distinguishing it from two-dimensional area measures. In practice, the cubic toise measured approximately 262 cubic feet (using English feet for equivalence), facilitating comparisons in colonial and international contexts.[2] It found primary application in quantifying dry bulk materials, such as quarried stone or rubble in masonry, where volumes were assessed as formless piles rather than shaped objects.[2] Regional variations existed, such as the masonry toise in 19th-century Canada, but the Paris-derived cubic toise provided the baseline for such bulk assessments in France and its territories.[2]