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Decimal System

[Expand]rank


Numeration

[Expand]units


[Expand]decade


[Expand]tens


[Expand]hundreds


[Expand]thousands


[Expand]tens of thousands


[Expand]hundreds of thousands


[Expand]millions


Positional System

[Expand]decimal positional system


[Expand]decimal place


[Expand]dust letters


[Expand]empty rank


[Expand]Indo-Arabic numerals


[Expand]numeral


[Expand]numerical value


[Expand]
numerical value - definition


[Expand]place holder


[Expand]place-holding


[Expand]positional value


[Expand]
positional value - definition


[Expand]zero


Arithmetic Operations

Addition

[Expand]addition


[Expand]
addition - definition


[Expand]to add, to sum


[Expand]sum


[Expand]addend


[Expand]additive


[Expand]plus


Change of Denominator

[Expand]change of denominator


[Expand]to change denominator


Composing

[Expand]composing denominators


[Expand]composed


Conversion

[Expand]conversion


[Expand]to convert


Decomposing to a Fraction

[Expand]decomposing to a fraction


[Expand]to decompose to a fraction


Denomination

[Expand]denomination


[Expand]to denominate


Determining the Common Denominator

[Expand]determining the common denominator


Division

[Expand]division


[Expand]
division - definition


[Expand]dividing


[Expand]to divide


[Expand]divisor


[Expand]greatest common divisor


[Expand]true divisor


[Expand]dividend


[Expand]divisible


[Expand]result of division, quotient


[Expand]part


[Expand]remainder of division


[Expand]share


Doubling

[Expand]doubling


[Expand]
doubling - definition


[Expand]to double


[Expand]double, twice


Expansion to a Common Denominator

[Expand]expansion to a common denominator


[Expand]
expansion to a common denominator - definition


Exponentiation

[Expand]cubing


[Expand]to cube


[Expand]cubed number


[Expand]to square


[Expand]squared number


[Expand]higher power


Extraction of Roots

[Expand]extraction of roots


[Expand]to extract a root


[Expand]to extract a square root


[Expand]to extract a cube root


[Expand]to have a root


[Expand]root


[Expand]square root


[Expand]cube root


[Expand]higher root


[Expand]approximate root


[Expand]expressible


[Expand]inexpressible


[Expand]radicand


[Expand]binomial


Factorization

[Expand]factorization


[Expand]to factorize


Forming a Fracion

[Expand]forming a fracion


[Expand]to form a fracion


Halving

[Expand]halving


[Expand]
halving - definition


[Expand]to halve


[Expand]half of


Lowering the rank

[Expand]lowering the rank


[Expand]to lower the rank


Multiplication

[Expand]multiplication


[Expand]
multiplication - definition


[Expand]multiplication table


[Expand]to multiply


[Expand]to triple


[Expand]multiplied


[Expand]multiplicand


[Expand]multiplier


[Expand]result of multiplication, product


[Expand]factor


[Expand]common factor


[Expand]to find a common factor


[Expand]to share a common factor


[Expand]multiple


[Expand]common multiple


[Expand]least common multiple


[Expand]to share a common multiple


[Expand]times



Methods of Multiplication

[Expand]multiplication by partial shifting


[Expand]multiplication by shifting


[Expand]multiplication without shifting


[Expand]gelosia


[Expand]horizontal multiplication


[Expand]vertical multiplication


[Expand]multiplication tower


[Expand]multiplication wings


[Expand]cross-multiplication


[Expand]triplets method


Raising the rank

[Expand]raising the rank


[Expand]to raise the rank


[Expand]raised to a higher rank


Reduction

[Expand]reduction


[Expand]
reduction- definition


[Expand]reduced


[Expand]to reduce


Rounding

[Expand]rounding


[Expand]rounded number


[Expand]to round


Subtraction

[Expand]subtraction


[Expand]
subtraction - definition


[Expand]to subtract


[Expand]minuend


[Expand]subtrahend


[Expand]subtractive


[Expand]result of subtraction


[Expand]minus


[Expand]carrying over from a higher rank


[Expand]to remain


[Expand]to leave a remainder


Supplementing

[Expand]additive supplementation


[Expand]to supplement additively


[Expand]additive supplement


[Expand]multiplicative supplementation


[Expand]to supplement multiplicatively


[Expand]multiplicatively supplemented


Check

[Expand]check


[Expand]to check


[Expand]scales


Casting Out

[Expand]casting out


[Expand]cast out nines


[Expand]result of casting out


[Expand]to cast out


False Position

[Expand]double false position


[Expand]single false position


[Expand]guess in a false position


[Expand]error of a false position


[Expand]to err


Arithmetic Terms

[Expand]arithmetic


[Expand]
arithmetic - definition


[Expand]arithmetician


[Expand]integer


[Expand]to be an integer


[Expand]number


[Expand]
number - definition


[Expand]unit


[Expand]
unit - definition


[Expand]unity


[Expand]small


[Expand]large


[Expand]to estimate


[Expand]to suffice


[Expand]given number


[Expand]unknown


[Expand]difference


[Expand]to be worth


[Expand]procedure


[Expand]calculation diagram


[Expand]accurately


[Expand]exact


[Expand]product by a power of ten


[Expand]corresponding


[Expand]endlessly


[Expand]order


[Expand]total


[Expand]extreme


[Expand]mean


[Expand]term


[Expand]verified


Alternation

[Expand]alternation


[Expand]to alternate


Approximating

[Expand]approximate


[Expand]to approximate


[Expand]approximately


Calculation

[Expand]calculation


[Expand]to calculate


[Expand]one who calculates


Counting

[Expand]counting


[Expand]counted


[Expand]to count


Decreasing

[Expand]decreasing


[Expand]to decrease


Increasing

[Expand]increasing


[Expand]to increase


Measuring

[Expand]measure


[Expand]
measure - definition


[Expand]to measure


[Expand]measured


Result

[Expand]result


[Expand]to result


Set Aside

[Expand]set aside


[Expand]to set aside


Excess

[Expand]excess


[Expand]exceeding


[Expand]to exceed



Equal

[Expand]equal


[Expand]unequal


[Expand]to be equal to


Quantity

[Expand]quantity


[Expand]continuous quantity


[Expand]discrete quantity, discontinuous quantity


[Expand]numerical quantity


[Expand]relative quantity


Fractions

[Expand]fraction


[Expand]part = fraction


[Expand]fraction of fraction


[Expand]denominator


[Expand]common denominator


[Expand]numerator


[Expand]sexagesimal fraction


[Expand]degree


[Expand]minute


[Expand]second


[Expand]zodiac sign


Progression

[Expand]progression


[Expand]natural succession


[Expand]successive


[Expand]
successive - definition


[Expand]sequential number


[Expand]successively


[Expand]increment


[Expand]number of terms


[Expand]aₙ₋₁


[Expand]aₙ₊₁


[Expand]chess


[Expand]chessboard square


Proportion

[Expand]proportion


[Expand]arithmetic proportion


[Expand]
arithmetic proportion - definition


[Expand]geometric proportion


[Expand]
geometric proportion - definition


[Expand]harmonic proportion


[Expand]
harmonic proportion - definition


[Expand]subcontrary proportion


[Expand]proportional


[Expand]
proportional numbers- definition


[Expand]proportional triad


[Expand]proportional hexad - proportion of six numbers


[Expand]rule of three


[Expand]
rule of three - definition


[Expand]arithmetic mean


[Expand]
arithmetic mean - definition


[Expand]geometric mean


[Expand]
geometric mean - definition


[Expand]harmonic mean


[Expand]
harmonic mean - definition


Ratio

[Expand]ratio


[Expand]to relate


[Expand]equality ratio


[Expand]inequality


multiple ratio

[Expand]multiple ratio = ratio in which the greater term is a product of the less by an integer (m·n):m


[Expand]double ratio = ratio of two to one, 2n:n


[Expand]
double ratio - definition


[Expand]duplicate


[Expand]triple ratio = ratio of three to one, 3n:n


[Expand]
triple ratio - definition


[Expand]triplicate


[Expand]quadruple = ratio of four to one, 4n:n


[Expand]
quadruple - definition


[Expand]quintuple = ratio of five to one, 5n:n


[Expand]sextuple = ratio of six to one, 6n:n


[Expand]septuple = ratio of seven to one, 7n:n


[Expand]octuple = ratio of eight to one, 8n:n


[Expand]nonuple = ratio of nine to one, 9n:n


[Expand]decuple = ratio of ten to one, 10n:n


superparticular ratio

[Expand]superparticular = the ratio of two consecutive integer numbers (n+1):n


[Expand]sesquialter = ratio of one and a half to one, (1+½):1 or 3:2


[Expand]
sesquialter ratio - definition


[Expand]sesquitertian = ratio of one and a third to one, (1+⅓):1 or 4:3


[Expand]
sesquitertian ratio - definition


[Expand]sesquiquartan = ratio of one and a quarter to one, (1+¼):1 or 5:4


[Expand]
sesquiquartan ratio - definition


[Expand]sesquiquintan = ratio of one and a fifth to one, (1+⅕):1 or 6:5


[Expand]
sesquiquintan ratio - definition


[Expand]sesquisextan = ratio of one and a sixth to one, (1+⅙):1 or 7:6


[Expand]sesquiseptan = ratio of one and a seventh to one, (1+⅐):1 or 8:7


[Expand]sesquioctavian = ratio of one and an eighth to one, (1+⅛):1 or 9:8


[Expand]sesquinona = ratio of one and a ninth to one, (1+⅑):1 or 10:9


[Expand]sesquidecima = ratio of one and a tenth to one, (1+⅒):1 or 11:10


superpartient ratio

[Expand]superpartient = ratio in which the greater term exceeds the less by more than a unit (n+m):n


superbipartient ratio
[Expand]superbipartient = ratio of one and two parts to one, (1+²/ₙ):1


[Expand]
superbipartient ratio - definition


[Expand]superbitertian = ratio of one and two thirds to one, (1+⅔):1 or 5:3


[Expand]superbiquartan = ratio of one and two quarters to one, (1+²/₄):1 or 6:4


[Expand]superbiquintan = ratio of one and two fifths to one, (1+⅖):1 or 7:5


[Expand]superbisextan = ratio of one and two sixths to one, (1+²/₆):1 or 8:6


[Expand]superbiseptan = ratio of one and two sevenths to one, (1+²/₇):1 or 9:7


[Expand]superbinona = ratio of one and two ninths to one, (1+²/₉):1 or 11:9


supertripartient ratio
[Expand]supertripartient = ratio of one and three parts to one, (1+³/ₙ):1


[Expand]
supertripartient ratio - definition


[Expand]supertriquartan = ratio of one and three quarters to one, (1+¾):1 or 7:4


[Expand]supertriquintan = ratio of one and three fifths to one, (1+⅗):1 or 8:5


[Expand]supertrisextan = ratio of one and three sixths to one, (1+³/₆):1 or 9:6


superquadripartient ratio
[Expand]superquadripartient = ratio of one and four parts to one, (1+⁴/ₙ):1


[Expand]
superquadripartient ratio - definition


[Expand]superquadriquintan = ratio of one and four fifths to one, (1+⅘):1 or 9:5


[Expand]superquadrisextan = ratio of one and four sixths to one, (1+⁴/₆):1 or 10:6


multiple superparticular ratio

[Expand]multiple superparticular


double superparticular
[Expand]double superparticular


[Expand]double sesquialter ratio = ratio of two and a half to one, (2+½):1 or 5:2


[Expand]double sesquitertian ratio = ratio of two and a third to one, (2+⅓):1 or 7:3


[Expand]double sesquiquartan ratio = ratio of two and a quarter to one, (2+¼):1 or 9:4


[Expand]double sesquiquintan ratio = ratio of two and a fifth to one, (2+⅕):1 or 11:5


triple superparticular
[Expand]triple superparticular


[Expand]triple sesquialter ratio = ratio of three and a half to one, (3+½):1 or 7:2


[Expand]triple sesquitertian ratio = ratio of three and a third to one, (3+⅓):1 or 10:3


[Expand]triple sesquiquartan ratio = ratio of three and a quarter to one, (3+¼):1 or 13:4


quadruple superparticular
[Expand]quadruple superparticular ratio


[Expand]quadruple sesquialter ratio: ratio of four and a half to one, (4+½):1 or 9:2


[Expand]quadruple sesquiquartan ratio: ratio of four and a quarter to one, (4+¼):1 or 17:4


multiple superpartient ratio

[Expand]multiple superpartient = ratio in which the greater term exceeds the multiple of the less by more than a unit ((n·m)+a):n


Types of Numbers

[Expand]composite number


[Expand]
composite - definition


[Expand]relatively composite


[Expand]
relatively composite - definition


[Expand]relatively prime


[Expand]
relatively prime - definition


[Expand]prime incomposite number


[Expand]
prime incomposite number - definition


[Expand]even number


[Expand]
even number - definition


[Expand]even-times-even number


[Expand]
even-times-even number - definition


[Expand]even-times-odd number


[Expand]
even-times-odd number - definition


[Expand]even-times-even-times-odd number


[Expand]
even-times-even-times-odd number - definition


[Expand]odd number


[Expand]
odd number - definition


[Expand]odd-times-odd number


[Expand]composite odd number


[Expand]
composite odd number - definition


[Expand]perfect number


[Expand]
perfect number - definition


[Expand]superabundant number


[Expand]
superabundant number - definition


[Expand]deficient number


[Expand]
deficient number - definition


[Expand]amicable numbers


[Expand]
amicable numbers - definition


[Expand]plane number


[Expand]
plane number - definition


[Expand]linear number


[Expand]
linear number - definition


[Expand]circular number


[Expand]polygonal number


[Expand]triangular number


[Expand]square number


[Expand]
square number - definition


[Expand]pentagonal number


[Expand]hexagonal number


[Expand]heptagonal number


[Expand]octagonal number


[Expand]nonagonal number


[Expand]decagonal number


[Expand]cyclic number


[Expand]solid number


[Expand]
solid number - definition


[Expand]cubic number


[Expand]
cubic number - definition


[Expand]beam number


[Expand]oblong number


[Expand]heteromecic number


[Expand]
heteromecic number - definition


[Expand]spherical number


[Expand]scalene number


[Expand]parallelepipedon number


[Expand]brick number


[Expand]pyramidal number


[Expand]triangular pyramidal number: pyramidal number that represents a triangular pyramid, ⅙∙(n³+3n²+2n)


[Expand]square pyramidal number: pyramidal number that represents a square pyramid, ⅙∙(2n³+3n²+n)


[Expand]pentagonal pyramidal number: pyramidal number that represents a pentagonal pyramid, ⅙∙(3n³+3n²)


  1. natural number
[Expand]sieve


[Expand]
sieve - definition


Combinatorics

[Expand]collection


[Expand]n!


[Expand]combination


[Expand]permutation


[Expand]variation


Algebraic Terms

[Expand]algebra


[Expand]algebraist


[Expand]algebraic species


[Expand]algebraic expression


[Expand]fixed number


[Expand]
number (algebraic context)- definition


[Expand]root


[Expand]
root- definition


[Expand]square


[Expand]
square- definition


[Expand]cube


[Expand]higher power of x


[Expand]additional unknown


[Expand]equation


[Expand]unsolvable equation


[Expand]side of an equation


[Expand]six canonical equations


[Expand]compound canonical equation


[Expand]simple canonical equation


[Expand]indeterminate equation


Definitions

[Expand]simple canonical equation


[Expand]compound canonical equation


Algebraic Operations

[Expand]balancing an equation


[Expand]confrontation


[Expand]
confrontation- definition


[Expand]to confront/ to be confronted


[Expand]to equate/to be equated


[Expand]normalization


[Expand]to normalize/to be normalized


[Expand]restoration


[Expand]
restoration- definition


[Expand]to restore/to be restored


[Expand]transformation between kinds


[Expand]to transform between kinds/to be transformed between kinds


Geometric Terms

[Expand]geometry


[Expand]
geometry - definition


[Expand]geometrician


[Expand]geometrical shape


[Expand]to construct


[Expand]to draw


[Expand]to divide a figure


[Expand]magnitude


[Expand]area


[Expand]distance


[Expand]dimension


[Expand]
dimension - definition


[Expand]length


[Expand]width


[Expand]depth


[Expand]base


[Expand]
base - definition


[Expand]upper base


[Expand]end


Point

[Expand]point


[Expand]midpoint


[Expand]apex


[Expand]center


[Expand]center of a sphere


[Expand]center of a circle


Line

[Expand]line


[Expand]
line - definition


[Expand]straight line


[Expand]circular line


[Expand]curve


[Expand]
curve - definition


[Expand]uniform line


[Expand]apotome


[Expand]
apotome- definition


[Expand]diagonal


[Expand]diameter


[Expand]
diameter - definition


[Expand]
diameter of a sphere: a line that passes through the center of the sphere and reaches the surface of the sphere at its both sides


[Expand]
diameter of a circle: a line that passes through the center of the circle and reaches the circumference of the circle at its both sides


[Expand]height


[Expand]perpendicular


[Expand]hypotenuse


[Expand]perimeter


[Expand]side


[Expand]segment


[Expand]parallel


[Expand]straight


[Expand]to draw a line


[Expand]to extend a line


to cut a line

[Expand]to cut a line


[Expand]to be cut into two segments


[Expand]to cut into two unequal segments


[Expand]to be cut into two unequal segments


[Expand]to cut randomly at point


[Expand]to be cut randomly at point


[Expand]to halve a line at point


[Expand]to be halved at point


Angle

[Expand]angle


[Expand]plane angle


[Expand]
plane angle - definition


[Expand]angle between straight lines


[Expand]right angle


[Expand]
right angle - definition


[Expand]acute angle


[Expand]
acute angle - definition


[Expand]obtuse angle


[Expand]
obtuse angle - definition


plane, surface

[Expand]surface


[Expand]
surface - definition


[Expand]planar


[Expand]flat surface


[Expand]
flat surface - definition


[Expand]convex surface


[Expand]
convex surface - definition


[Expand]concave surface


[Expand]
concave surface - definition


[Expand]to form an area


[Expand]triangle


[Expand]
triangle - definition


[Expand]equilateral triangle


[Expand]quadrilateral


[Expand]
quadrilateral - definition


[Expand]square


[Expand]
square - definition


[Expand]rectangle


[Expand]
rectangle - definition


[Expand]rhombus


[Expand]
rhombus - definition


[Expand]parallelogram


[Expand]
parallelogram - definition


[Expand]pentagon


[Expand]hexagon


[Expand]polygon


[Expand]
polygon- definition


[Expand]trapezoid


[Expand]
trapezoid- definition


[Expand]gnomon


Circle

[Expand]circle


[Expand]
circle - definition


[Expand]arc


[Expand]
arc - definition


[Expand]chord


[Expand]
chord - definition


[Expand]sector


[Expand]
sector - definition


[Expand]versine


[Expand]
versine - definition


[Expand]semicircle


[Expand]
semicircle - definition


[Expand]greater than a semicircle


[Expand]
greater than a semicircle - definition


[Expand]less than a semicircle


[Expand]
less than a semicircle - definition


[Expand]circular segment


[Expand]
circular segment - definition


[Expand]to circle


isosceles

[Expand]isosceles triangle


[Expand]isosceles trapezoid: trapezoid whose two nonparallel sides are equal



acute-angled

[Expand]acute-angled triangle: triangle in which all the three internal angles are acute


[Expand]
acute-angled triangle - definition



obtuse-angled

[Expand]obtuse-angled triangle: triangle in which one angle is greater than a right angle


[Expand]
obtuse-angled triangle - definition


[Expand]obtuse trapezoid: trapezoid that has one interior angle greater than 90°


right-angled

[Expand]right-angled triangle: triangle in which one angle is a right angle


[Expand]
right-angled triangle - definition


scalene

[Expand]scalene triangle: triangle in which all three sides are unequal in length


[Expand]irregular quadrilateral: quadrilateral that have two or more unequal sides and two or more unequal angles


[Expand]scalene trapezoid: trapezoid whose four sides are unequal in length


solid

[Expand]solid


[Expand]
solid - definition


[Expand]cube


[Expand]parallelepiped


[Expand]prism


[Expand]square prism: prism that has two identical parallel square faces and the four other faces are rectangular


[Expand]hexagonal prism


[Expand]triangular prism: prism that has two identical parallel triangular faces and the three other faces are rectangular


[Expand]
triangular prism - definition


[Expand]pentagonal prism: prism that has two identical parallel pentagonal faces and the five other faces are rectangular


[Expand]pyramid


[Expand]triangular pyramid: pyramid with a triangular base


[Expand]square pyramid: pyramid with a square base


[Expand]sphere


[Expand]
sphere - definition


[Expand]hemisphere


[Expand]cone


[Expand]
cone - definition


[Expand]cylinder


[Expand]ellipsoid


[Expand]
ellipsoid - definition


[Expand]beam


[Expand]solid angle


[Expand]sharp solid


[Expand]truncated solid


[Expand]volume


[Expand]face


[Expand]axis


[Expand]
axis - definition


[Expand]pole


[Expand]
pole - definition


[Expand]to be situated


[Expand]extension


[Expand]section


geometric relations

[Expand]to cut off


[Expand]to encompass


[Expand]encompassed


[Expand]
encompassed - definition


[Expand]to be the side of an area


[Expand]inscribed


[Expand]
inscribed - definition


[Expand]to intersect


[Expand]to join


[Expand]joined


[Expand]to revolve around


[Expand]to touch


[Expand]congruent surfaces


[Expand]
congruent surfaces - definition


[Expand]congruent solids: solids that are completely identical in size and shape


[Expand]
congruent solids - definition


[Expand]similar solids: solids of the same shape, whose corresponding faces are similar surfaces


[Expand]
similar solids - definition


[Expand]similar surfaces


[Expand]
similar surfaces - definition


[Expand]
commensurable - definition


[Expand]
incommensurable: magnitudes that cannot be measured by the same measure


[Expand]
commensurable in square- definition


[Expand]
incommensurable in square: straight lines such that the squares on them cannot be measured by the same area


Economic Terms

[Expand]coinage


Coins

[Expand]white


Arabic

[Expand]dinar


[Expand]dirham


[Expand]fals


Hebrew

[Expand]gerah, pl. gerot


[Expand]magen, pl. magenim


[Expand]minyan, pl. minyanim


[Expand]peraḥ, pl. peraḥim


[Expand]pašuṭ, pl. pešiṭim/pešuṭim


[Expand]pruṭah, pl. pruṭot


[Expand]shekel, pl. shekalim


[Expand]tapuaḥ, pl. tapuḥim


[Expand]zahuv, pl. zehuvim


[Expand]zuz, pl. zuzim


Italian

[currency:
1 grano (plural: grana / grani / gerah) = 2 tornesi (singular: tornese) = 12 cavalli (singular: cavallo) = 6 dinar
1 carlino = 10 grana
1 tari = 20 grana
1 ducato/minyan/magen/peraḥim = 5 tarini = 10 carlini = 100 grana = 1200 cavalli]
[Expand]bolognino, pl. bolognini


[Expand]carlino


[Expand]cavalli


[Expand]ducat, pl. ducati


[Expand]florin


[Expand]gienovino, pl. gienovini


[Expand]grano


[Expand]grosso


[Expand]piccoli


[Expand]pisani


[Expand]soldo


[Expand]tari


[Expand]tornesi


[Expand]veneziano


Spanish

[Expand]castellano


[Expand]escudo


[Expand]palomita?


[Expand]pepion?


Weights and Measures

Length

[Expand]cubit


[Expand]mil


[Expand]parsa


[Expand]zeret


[Expand]canna = Italian unit of length
qané = Hebrew measure of length, equal to six cubits


Mass

[Expand]almud, pl. almudes


[Expand]arroba, pl. arrobas


[Expand]kab


[Expand]kantar


[Expand]kikkar


[Expand]liṭra


[Expand]masoa', pl. massu'ot


[Expand]՚oqya


[Expand]qafiz


[Expand]quartal, pl. quartalis


[Expand]barley = sixtieth of a cubit


[Expand]barile, pl. barili


[Expand]boccale


[Expand]braccio


[Expand]marco


[Expand]tomolo


[Expand]trapeso, pl. trappesi


[Expand]centner


measures of liquid

[Expand]anphora, amphora


[Expand]metreta


Euclid's Elements

[Expand]Elements II-4


[Expand]Elements II-4: definition


[Expand]Elements II-5


[Expand]Elements II-6


[Expand]Elements II-7: definition


[Expand]Elements VI-17


[Expand]Elements VI-17: definition


[Expand]Elements VIII-11


[Expand]Elements VIII-11: definition


[Expand]Elements VIII-12


[Expand]Elements VIII-12: definition


[Expand]Elements XIII-1: definition


[Expand]Elements XIII-3: definition


[Expand]Elements XIII-5: definition


[Expand]Elements XIII-9: definition


[Expand]Elements XIII-10: definition


General Terminology

[Expand]mathematics



[Expand]Indian scholars


[Expand]Arab scholars



Science

[Expand]science


[Expand]external science


[Expand]practical science


[Expand]ethics


[Expand]metaphysics


[Expand]optics


[Expand]physics


[Expand]politics


Astrology

عِلْم النُجوم

[Expand]astrology


[Expand]astrologer


[Expand]upper world


[Expand]sublunar world


[Expand]heavenly sphere


[Expand]earth


[Expand]conjunction of planets


Linguistics

[Expand]grammarian


[Expand]linguistics


[Expand]grammarian


Logic

[Expand]logic


[Expand]analogy


[Expand]to assume


[Expand]to deduce


[Expand]proof


[Expand]to prove


[Expand]demonstrative


[Expand]Q.E.D


[Expand]essence


[Expand]example


[Expand]to give an example


[Expand]proposition


[Expand]reason


[Expand]rule


Philosophy

[Expand]philosophy


[Expand]philosopher


[Expand]wisdom


[Expand]wise



Music

[Expand]music


[Expand]harmony


[Expand]diatessaron


[Expand]diapente


[Expand]diapason



Bible

Genesis

[Expand]Genesis 1, 2: "the spirit of God hovering over the face of"


[Expand]Genesis 16, 12: "His hand will be upon all, and the hand of everyone upon him"


Exodus

[Expand]Exodus 26, 6: "the tabernacle may be one"


Numbers

[Expand]Numbers 21, 27: "come to Ḥeshbon"


Deuteronomy

[Expand]Deuteronomy 6, 4: "Hear, O Israel: the LORD our God, the LORD is one"


[Expand]Deuteronomy 14, 24: "if the way be too long for you"


Samuel

[Expand]Samuel I 22, 14: "who bows to your bidding"


Isaiah

[Expand]Isaiah 12, 3: "the wells of salvation"


[Expand]Isaiah 28, 10: "a little here, a little there"


[Expand]Isaiah 29, 24: "those of straying spirit shall come to understanding"


[Expand]Isaiah 30, 20: "and your Teacher shall no longer hide Himself, but your eyes shall see thy Teacher and your ears shall hear a word from behind thee... This is the way; walk in it"


[Expand]Isaiah 53, 10: "the purpose of God shall prosper in his hand"



Psalm

[Expand]Psalm 20, 6: "May God fulfill all your wishes"


[Expand]Psalm 45, 2: "a pen of a skilled writer"


[Expand]Psalm 57, 2: "Be merciful unto me"


[Expand]Psalm 83, 14: "like a wheel, like stubble before the wind"


[Expand]Psalm 133, 1: "How good and how pleasant"


Job

[Expand]Job 33, 23: "one among a thousand"


Proverbs

[Expand]Proverbs 4, 11: "I have taught you in the way of wisdom, I have led you in paths of uprightness"


[Expand]Proverbs 4, 18: "as the shining light, that shineth more and more unto the perfect day"


[Expand]Proverbs 5, 16: "Let your springs be dispersed"


[Expand]Proverbs 9, 9: "Instruct a wise man, and he will become wiser... and increase in learning"


[Expand]Proverbs 23, 1: "consider well him that is before thee"


Song of Songs

[Expand]Song of Songs 6, 9: "My dove, my undefiled, is but one"


Ecclesiastes

[Expand]Ecclesiastes 12, 12: "much study is a weariness of the flesh"


Nehemiah

[Expand]Nehemiah 2, 18: "the hand of my God which was good upon me"


[Expand]Nehemiah 5, 13: "shook my lap"


Authors

Greek

[Expand]Apollonius


[Expand]Archimedes


[Expand]Aristotle


[Expand]Autolycus


[Expand]Euclid


[Expand]Hipparchus


[Expand]Hippocrates


[Expand]Menelaus


[Expand]Nicomachus


[Expand]Plato


[Expand]Ptolemy


[Expand]Pythagoras


[Expand]Theodosius


Arab

[Expand]Ikhwān al-Ṣafā - إخوان‌ الصفا


[Expand]al-Fārābī - أبو نصر محمد الفارابي


[Expand]al-Ghazālī - أَبْو حَامِدْ مُحَمّد الغَزّالِي


[Expand]al-Haṣṣār - أبو بكر الحَصَّار


[Expand]Jābir ibn Hayyān - جابر بن حيّان


[Expand]al-Khwārizmī - مُحَمَّد بن مُوسَى الخَوارِزمي


[Expand]Ibn Rushd - أَحْمَدَ بن أَحْمَدَ بن رُشْد [Averroes]


[Expand]Ibn Sinā - إبن سِينَا [Avicenna]

Italian

[Expand]Piero Borgi


Jewish

[Expand]Abraham Ibn Ezra


[Expand]Maimonides


[Expand]Moses Qimhi


Works

Apollonius

[Expand]The Conical Sections


Aristotle

[Expand]Categories [Categoriae]


[Expand]On Interpretation [De Interpretatione]


[Expand]Prior Analytics [Analytica Priora]


[Expand]Posterior Analytics [Analytica Posteriora]


[Expand]Physics [Physica]


[Expand]On the Heavens [De Caelo]


[Expand]Meteorology [Meteorologica]


[Expand]On the Soul [De Anima]


[Expand]On the Generation of Animals [De Generatione Animalium]


[Expand]Metaphysics [Metaphysica]


[Expand]Nicomachean Ethics [Ethica Nicomachea]


[Expand]Rhetoric [Rhetorica]


Plato

[Expand]Timaeus



al-Fārābī

[Expand]Principles of Existing Things - مبادئ الموجودات


Al-Ghazālī

[Expand]Maqāṣid al-Falāsifa - مقاصد الفلاسفة


Ibn Rushd [Averroes]

[Expand]Kitāb Kulliyyāt - کتاب الکلیات


Ibn Sinā [Avicenna]

[Expand]Qānon - القانون في الطب


Ibn Ezra

[Expand]Sefer Keli ha-Neḥošet


[Expand]Sefer ha-Luḥot le-Šivʿah ha-Mešaretim


[Expand]Sefer ha-Shem


Sefer Yetzira

[Expand]Sefer Yetzira


Geographical locations

France

[Expand]Avignon


[Expand]Meudon


Greece

[Expand]Candia = Heraklion


[Expand]Corfu


[Expand]Negroponte


[Expand]Patras


Italy

[Expand]Caronia


[Expand]Florence


[Expand]Milan


[Expand]Naples


[Expand]Padua


[Expand]Rome


[Expand]Venice


Portugal

[Expand]Lisbon


Spain

[Expand]Aragon


[Expand]Barcelona


[Expand]Castile


[Expand]Oriola


[Expand]Súria


[Expand]Valencia


[Expand]Zaragoza


Turky

[Expand]Adrianople


[Expand]Bursa


[Expand]Constantinople


[Expand]İskenderun - Alexandria


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