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Primel Area Units

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The Primel Base Unit of Area: The ′areanel, or ′morsel-area Edit

The Primel base unit of area, the ′areanel (abbreviated ′Arℓ), is derived by squaring the ′lengthel.

′areanel = ′lengthel2

This is the area of a square exactly 8.202083d millimeters on a side, or about 67.2741710069444d square millimeters, slightly over 2/3 of a square centimeter. In USC units, this is equivalent to a square exactly 0.322916d inches on a side, or exactly 0.10427517361 square inches, slightly over a tenth of a square inches. Since it is the square of the ′lengthel, and since the Primel nickname for the the ′lengthel is the ′morsel, Primel proposes to colloquialize the ′areanel as the ′morsel-area.

Convenient Powers and Multiples of the ′areanel Edit

Since the first several positive dozenal powers of the ′lengthel, as well as their multiples by three, have been granted colloquial names, the area units that are their squares, i.e., the first several even positive powers of the ′areanel, and their multiples by nine (three squared), will get colloquial names based on those. The odd powers of the ′areanel, where possible, will be given unique colloquial names.

The ennea′areanel, or ′pollical-area Edit

The ennea′areanel (abbreviated e•′Arℓ) is an area of nine ′morsel-areas. This is equivalent to exactly 6.054675390625d square centimeters, or exactly 0.9384765625d (0.Ɛ3183z) square inches. This is equivalent to a square ′pollical-length; consequently, Primel proposes giving this unit the colloquial name of ′pollical-area.

The unqua′areanel, or ′vectigal-area Edit

The first positive dozenal power of the ′areanel, the unqua′areanel (abbreviated u↑′Arℓ) is a dozen ′morsel-areas. This is equivalent to exactly 8.07290052083d square centimeters, or exactly 1.251302083d (1.3023z) square inches. This is about the size of a largish postage stamp; consequently, Primel proposes giving this unit the colloquial name of ′vectigal-area, derived from vectigalia, Latin for "postage".

The biqua′areanel, or ′manipular-area Edit

The second positive dozenal power of the ′areanel, the biqua′areanel (abbreviated b↑′Arℓ) is one square ′manipular-length, and hence can be nicknamed the ′manipular-area. This is the area of a square with a side of exactly 9.8425d centimeters, or very nearly a decimeter; this comes out to exactly 96.87480625d square centimeters, very nearly a square decimeter. In USC units, this square has a side of exactly 3.875d inches, or very nearly one 4-inch USC hand; this comes out to exactly 15.015625d square inches, or exactly 0.104275d square foot.

The diagram below shows the relative sizes of the ′areanel, the ennea′areanel, the unqua′areanel, and the biqua′areanel. (If your browser is at 100%z zoom on a typical monitor, then the diagram should be fairly close to actual size.)

Areanels

Note that ennea (nine) and biqua (one gross) are perfect squares, whereas unqua (one dozen) is not. Therefore the biqua′areanel can be represented as a perfect square shape composed of one gross ′areanel units arranged in a 10z×10z array. Likewise, the ennea′areanel can be represented as a perfect square shape composed of nine ′areanel units arranged in a 3×3 array. Then, one dozen four of these squares can be packed in a 4×4 arrangement, to fully tesselate the ′biqua-areanel. On the other hand, the unqua′areanel, if composed out of whole ′areanel squares, must be rectangular; however, because of the divisibility of the number twelve, this can be a 3×4 rectangle. Then, a dozen of these rectangles can be packed into a complementary 4×3 arrangement, to fully tessellate a square-shaped ′biqua-areanel.

This is a somewhat more satisfactory situation compared to what could be done in decimal. 10d square centimeters could at best be arranged into a 2×5 array. And then 10d such rectangles would need to be packed into a complementary 5×2 arrangement to fully tesselate a square decimeter.

This relationship between the ′areanel, ennea′areanel, unqua′areanel, and biqua′areanel is repeated, congruently, between the biqua′areanel, ennea-biqua′areanel, triqua′areanel, and quadqua′areanel; between the quadqua′areanel, ennea-quadqua′areanel, pentqua′areanel, and hexqua′areanel; and so on.

The ennea-biqua′areanel, or ′podial-area Edit

The ennea-biqua′areanel (abbreviated e•b↑′Arℓ) is an area of nine ′manipular-areas. This is equivalent to exactly 8.7187325625d square decimeters, or exactly 0.9384765625d (0.Ɛ3183z) square feet. This is equivalent to a square ′podial-length; consequently, Primel proposes giving this unit the colloquial name of ′podial-area.

The triqua′areanel, or ′tabellar-area Edit

The third positive dozenal power of the ′areanel, the triqua′areanel (abbreviated t↑′Arℓ) is a dozen ′manipular-areas. This is equivalent to exactly 11.624976753d square decimeters, or exactly 1.251302083d (1.3023z) square feet. This is equivalent to a rectangle exactly 11.625d (Ɛ.76z) inches by 15.5d (13.6z) inches; in Primel units, this would be 10z ′pollical-lengths by 14z ′pollical-lengths, or 3 ′manipular-lengths by 4 ′manipular-lengths. This is about the are of an average laptop or tablet screen. Consequently, Primel proposes nicknaming this unit the ′tabellar-area, from tabella, Latin for "writing tablet".

The quadqua′areanel, or ′ulnaral-area Edit

The fourth positive dozenal power of the ′areanel, the quadqua′areanel (abbreviated q↑′Arℓ) is a square ′ulnaral-length, and hence can be nicknamed the ′ulnaral-area. This is the area of a square with a side of exactly 1.1811d meters; this comes out exactly 1.39499721d square meters. In USC units, this square has a side of exactly 46.5d inches; this comes out to exactly 15.015625d (13.023z) square feet, or exactly 1.6684027d (1.803z) square yards.

The ennea-quadqua′areanel, or ′chambral-area Edit

The ennea-quadqua′areanel (abbreviated e•q↑′Arℓ) is an area of nine ′ulnaral-areas. This is equivalent to 12.55497489d square meters, or exactly 135.140625d (Ɛ3.183z) square feet, or exactly 15.015625d (13.023z) square yards. This is equivalent to a square ′chambral-length; consequently, Primel proposes giving this unit the colloquial name of ′chambral-area.

The pentqua′areanel, or ′pontal-area Edit

The fifth positive dozenal power of the ′areanel, the pentqua′areanel (abbreviated p↑′Arℓ) is a dozen ′ulnaral-areas, equivalent to the area of a rectangle of 3 ′ulnaral-lengths by 4 ′ulnaral-lengths. This is equivalent to exactly 16.73996652d square meters, or exactly 180.1875d (130.23z) square feet, or exactly 20.02083d (18.03z) square yards. This is about the area of a typical patio deck; consequently, Primel proposes to nickname this the '′pontal-area, derived from Latin pons, "drawbridge, gangway, deck".

The hexqua′areanel, or ′habital-area Edit

The sixth positive dozenal power of the ′areanel, the hexqua′areanel (abbreviated h↑′Arℓ) is a square ′habital-length, and hence can be nicknamed the ′habital-area. This is the area of a square with a side of exactly 14.1732d meters; this comes out to an area of exactly 200.87958724d square meters, or 2.0087958724 are. In USC units, this square has a side of exactly 46.5d feet; this comes out to exactly 2162.25d (1302.3z) square feet, or exactly 240.25d (180.3z) square yards. It turns out that this is only very slightly less than the floor area of the average home in the United States.

The ennea-hexqua′areanel, or ′colossal-area Edit

The ennea-hexqua′areanel (abbreviated e•h↑′Arℓ) is an area of nine ′habital-areas. This is equivalent to exactly 19,460.25d (Ɛ318.3z) square feet, or exactly 2162.25d (1302.3z) square yards, or approximately 0.44675d acres, or 18.0791638416 ares. This is equivalent to a square ′colossal-length; consequently, Primel proposes giving this unit the colloquial name of ′colossal-area.

The septqua′areanel, or ′jugeral-area Edit

The seventh positive dozenal power of the ′areanel, the septqua′areanel (abbreviated s↑′Arℓ) is a dozen ′habital-areas. This is equivalent to about 2,410.55517888d square meters or 24.1055517888d ares, a little less than a quarter hectare. In USC units, this is exactly 25,947d (13,023z) square feet, or exactly 2,883d (1,803z) square yards, or approximately 0.595661157025d acres, about 3/5 of an acre. It turns out that this is quite close to an ancient Roman unit of area called the jugerum, which was apparently considered the amount of land that a jugum, or "yoke" of two oxen, could plow in a day. Hence Primel proposes to also nickname this unit the ′jugeral-area.

The octqua′areanel, or ′stadial-area Edit

The eighth positive dozenal power of the ′areanel, the octqua′areanel (abbreviated o↑′Arℓ) is a square ′stadial, and hence can be nicknamed the ′stadial-area. This is the area of a square with a side of exactly 170.0784d meters; this comes out to an area of exactly 28,926.66214656d square meters, or 2.892666214656 hectares. In USC units, this square has a side of exactly 558d feet; this comes out to an area of exactly 311,364d (130,230z) square feet, or exactly 34,596d (18,030z) square yards, or about 7.14793388430d acres.

The ennea-octqua′areanel, or ′turrial-area Edit

The ennea-octqua′areanel (abbreviated e•o↑′Arℓ) is an area of nine ′stadial-areas. This is equivalent to exactly 2,802,276d (Ɛ31,830z) square feet, or exactly 311,364d (130,230z) square yards, or about 64.33140d acres, or about 26.0340d hectares. This is equivalent to a square ′turrial length; consequently, Primel proposes giving this unit the colloquial name of ′turrial-area.

The ennqua′areanel, or ′vicinital-area Edit

The ninth positive dozenal power of the ′areanel, the ennqua′areanel (abbreviated e↑′Arℓ) is a dozen ′stadial-areas. This is equivalent to about 34.7119945759d hectares, or 0.347119945759d square kilometers, a bit more than a third of a square kilometer. In USC units, this is about 85.7752066116d acres, or about 0.13402376033058d square miles, on the order of the size of a neighborhood or municipal subdivision. Consequently, Primel proposes nicknaming this unit the ′vicinital-area, from vicinitas, Latin for "neighborhood".

The decqua′arenael, or ′dromal-area Edit

The tenth positive dozenal power of the ′areanel, the decqua′areanel (abbreviated d↑′Arℓ) is a square ′dromal-length, and hence can be nicknamed the ′dromal-area. This is the area of a square with a side of exactly 2.0409408d kilometers; this comes out to an area of exactly 4.16543934910464d square kilometers or 416.543934910464d hectares. In USC units, this square has a side of exactly 6,696d feet or exactly 1.2681d miles; this comes out to an area of exactly 44,836,416d (13,023,000z) square feet, or exactly 4,981,824d (1,803,000z) square yards, or about 1,029.30247934d acres, or about 1.60828512397d square miles.

The ennea-decqua′areanel, or ′parasangal-area Edit

The ennea-decqua′areanel (abbreviated e•d↑′Arℓ) is an area of nine ′dromal-areas. This is equivalent to about 37.4889541419d (almost exactly 37.5d) square kilometers. In USC units, this is about 9263.722314d acres, or about 14.474566115703d square miles. This is equivalent to a square ′parasangal-length; consequently, Primel proposes giving this unit the colloquial name of ′parasangal-area.

The levqua′areanel, or ′municipal-area Edit

The eleventh positive dozenal power of the ′areanel, the levqua′areanel (abbreviated ℓ↑′Arℓ) is a dozen ′dromal-areas. This is equivalent to about 49.9852721893d (almost exactly 50d) square kilometers. In USC units, this is about 12,351.6297521d acres, or about 19.29942148763d square miles. This is on the order of the size of a small town or a central part of a city, so on the strength of that, Primel proposes to nickname this the ′municipal-area.

The unnilqua′areanel, or ′itineral-area Edit

The dozenth positive dozenal power of the ′areanel, the unnilqua′areanel (abbreviated un↑′Arℓ) is a square ′itineral, and hence can be nicknamed the ′itineral-area. This is the area of a square with a side of exactly 24.4912896d kilometers; this comes out to an area of exactly 599.823266271d (almost exactly 600d) square kilometers. In USC units, this square has a side of exactly 15.218d miles; this comes out to an area of about 231.593057851d square miles.

The ununqua′areanel Edit

The dozen-first positive dozenal power of the ′areanel, the ununqua′areanel (abbreviated uu↑′Arℓ) is a dozen ′itineral-areas. This is equivalent to about 7197.87919525282d (almost exactly 7200d) square kilometers. In USC units, this is about 2779.11669421d square miles.

The unbiqua′areanel, or ′regional-area Edit

The dozen-second positive dozenal power of the ′areanel, the unbiqua′areanel (abbreviated ub↑′Arℓ) is a square ′regional, and hence can be nicknamed the ′regional-area. This is an area of about 86,374.5503430d (almost exactly 86,400d) square kilometers, or about 33,349.400331d square miles.

The untriqua′areanel Edit

The dozen-third positive dozenal power of the ′areanel, the untriqua′areanel (abbreviated ut↑′Arℓ) is a dozen ′regional-areas. This is equivalent to about 1,036,494.60412d (almost exactly one million) square kilometers. In USC units, this is about 400,192.803967d (almost exactly 4 hundred thousand) square miles.

The unquadqua′areamel, or ′continental-area Edit

The dozen-fourth positive dozenal power of the ′areanel, the unquadqua′areanel (abbreviated uq↑′Arℓ) is a square ′continental, and hence can be nicknamed the ′continental-area. This is an area of about 12,437,935.2494d (almost exactly 12d million) square kilometers, or about 4,802,313.64760d square miles.

The unpentqua′areanel Edit

The dozen-fifth positive dozenal power of the ′areanel, the unpentqua′areanel (abbreviated up↑′Arℓ) is a dozen ′continental-areas. This is equivalent to about 149,255,222.993d square kilometers, or about 57,627,763.7712d square miles.

The unhexqua′areanel, or ′orbital-area Edit

The dozen-sixth positive dozenal power of the ′areanel, the unhexqua′areanel (abbreviated uh↑′Arℓ) is a square ′orbital, and hence can be nicknamed the ′orbital-area. This is an area of about 1,791,062,675.91d square kilometers, or about 691,533,165.255d square miles.

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