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Decimal Dystem

[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 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]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 number


[Expand]expressible root


[Expand]inexpressible root


[Expand]radicand


[Expand]binomial


[Expand]perfect square


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 duplicate


[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


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


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]units


[Expand]to estimate


[Expand]quantity


[Expand]continuous quantity


[Expand]discontinuous quantity


[Expand]relative quantity


[Expand]duplicate


[Expand]triplicate


[Expand]given number


[Expand]required


[Expand]unknown


[Expand]excess


[Expand]difference


[Expand]deficit


[Expand]deficiency


[Expand]to be worth


[Expand]to be equal to


[Expand]equal


[Expand]unequal


[Expand]to give a numerical example


[Expand]procedure


[Expand]diagram


[Expand]correct


[Expand]incorrect, erroneous


[Expand]to correct


[Expand]error


[Expand]to err


[Expand]accurately


[Expand]exact


[Expand]analogous


[Expand]order


[Expand]total


[Expand]extreme


[Expand]mean


[Expand]term



Alternation

[Expand]alternation


[Expand]to alternate


Approximating

[Expand]approximate


[Expand]to approximate


[Expand]approximately


Calculation

[Expand]calculation


[Expand]to calculate


[Expand]to be calculated


[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


Remaining

[Expand]remainder


[Expand]no remainder


[Expand]to leave a remainder


[Expand]to remain


Result

[Expand]result


[Expand]to result


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]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


[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]to be related to


[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


[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]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]prime incomposite number number


[Expand]
prime incomposite number - definition


[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]
perfect number - definition


[Expand]square number


[Expand]
square number - definition


[Expand]cubic number


[Expand]
cubic number - definition


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]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


[Expand]Muḥammad al-Khwārizmī

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]line


[Expand]
line - definition


[Expand]straight line


[Expand]apotome


[Expand]
apotome- definition


[Expand]side


[Expand]right angle


[Expand]
right angle - definition


[Expand]acute angle


[Expand]
acute angle - definition


[Expand]obtuse angle


[Expand]
obtuse angle - definition


[Expand]plane


[Expand]surface


[Expand]
surface - definition


[Expand]triangle


[Expand]
triangle - definition


[Expand]acute-angled triangle


[Expand]
acute-angled triangle - definition


[Expand]right-angled triangle


[Expand]
right-angled triangle - definition


[Expand]obtuse-angled triangle


[Expand]
obtuse-angled triangle - definition


[Expand]equilateral triangle


[Expand]scalene triangle


[Expand]isosceles triangle


[Expand]quadrilateral


[Expand]
quadrilateral - definition


[Expand]square


[Expand]
square - definition


[Expand]to construct a square


[Expand]rectangle


[Expand]
rectangle - definition


[Expand]rhombus


[Expand]
rhombus - definition


[Expand]parallelogram


[Expand]
parallelogram - definition


[Expand]polygon


[Expand]
polygon- definition


[Expand]circle


[Expand]
circle - definition


[Expand]solid


[Expand]
solid - definition


[Expand]sphere


[Expand]
sphere - definition


[Expand]ellipsoid


[Expand]
ellipsoid - definition


[Expand]to draw a line


[Expand]to cut a line


[Expand]segment


[Expand]to extend a line


[Expand]to meet a line


[Expand]to intersect


[Expand]parallel to


[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


[Expand]encompassed by lines


[Expand]encompassed by segments


[Expand]to cut into two segments


[Expand]to cut into two unequal segments


[Expand]to be cut into two unequal segments


[Expand]to complete a surface


[Expand]gnomon


[Expand]area


[Expand]dimension


[Expand]
dimension - definition


[Expand]length


[Expand]width


[Expand]depth


[Expand]figure


[Expand]size


[Expand]to draw


[Expand]point


[Expand]to be situated


[Expand]to cut off


Logical Terms

[Expand]to deduce


[Expand]by analogy


[Expand]to demonstrate


[Expand]demonstrative


[Expand]Q.E.D


[Expand]example


[Expand]to give an example


[Expand]proof


[Expand]reason


[Expand]rule


Philosophical Terms

[Expand]wisdom


[Expand]path of wisdom


[Expand]wise


Linguistic Terms

[Expand]grammarian


[Expand]derivation


Economic Terms

[Expand]dinar

[Expand]dirham

[Expand]fals


[Expand]florin


عِلْم النُجوم

[Collapse]astrology
Category Category Comment Link Annotated text
science/astrologytermספר_עיון_העקרים_לחשבון_ההנדיים#psiAמלאכת הכוכבים
science/astrologytermספר_יסודי_התבונה_ומגדל_האמונה#wtNWעלם אלנג'ום
science/astrologytermספר_יסודי_התבונה_ומגדל_האמונה#fUxOחכמת הכוכבים
science/astrologyת.כ.נ./תכונהtermספר_המספר_/_אליהו_מזרחי#REiSחכמת התכונה
science/astrologyת.כ.נ./תכונהtermספר_יסודי_התבונה_ומגדל_האמונה#NPQpחכמת התכונה
science/astrologyת.כ.נ./תכונהtermמלאכת_המספר#laUDתכונה
science/astrologytermAnonymous#sXkUחכמת המזלות
science/astrologyת.כ.נ./תכונהtermמלאכת_המספר#tkmRחכמת התכונה
science/astrologyת.כ.נ./תכונהtermספר_המספר_/_אליהו_מזרחי#N7gnתכונה


[Expand]astrologer


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



General Terminology

[Expand]complement


[Expand]essence


[Expand]incorrect


[Expand]exceeding


[Expand]shared by


[Expand]straight


Verbs

[Expand]to complete


[Expand]to be completed


[Expand]to construct on


[Expand]to exceed by


[Expand]to extract


[Expand]to hold


[Expand]to increase


[Expand]to join


Geographical locations

[Expand]Aragon


[Expand]Barcelona


[Expand]Bursa


[Expand]Constantinople


[Expand]İskenderun


[Expand]Oriola


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