Number and Function

INDEX

A B C D E F G H I L M N O P Q R S T U V Y Z

A
>Abcissa
>Absolute value
>Absurd numbers
>Accuracy
>Accuracy of drawing
>Addition and subtraction of fractions
>Addition and subtraction of roots
>Addition of numbers with different leading signs
>Addition of relative numbers
>Addition of sums and differences
>Addition table
>Algebra
>Algebra
>Algebra
>Algebra et Almucabala
>Algebra, definition
>Analysis, definition
>Angle bisector
>Angles, positive and negative
>Application of algebraic formulae
>Arbitrary triangles
>Arc measure
>Arithmetic
>Arithmetic rule
>Arithmetic with roots
>Arithmetic, definition
>Astronomical observation
>Asymptote
>Axial symmertry

B
>Base of a power
>Base of the logarithm
>Binary
>Brackets
>Brackets with several terms
>Branch
>Branches of hyperbola

C
>Calculation of gains and losses
>Calculation of triangles
>Calculation with general numbers.
>Calculations with sums and differences
>Calculus of fractions
>Calculus of powers
>Calculus of powers
>Cartesian
>Central symmetry
>Change of order of operation
>Change signs of individual terms
>Characteristic of logarithm
>Checking results
>Coastal navigation
>Coefficient
>Coefficient of linear expansion
>Co-functions
>Combination of numbers with equal signs
>Common denominator
>Common fraction
>Commutative law
>Comparison of fractions
>Comparison of two quantities
>Compass and ruler
>Complex roots
>Complimentary angle
>Computation of interest
>Computation of interest in a bank
>Computation with logarithms
>Computation with x
>Concept of root
>Constant
>Constant
>Continuous
>Coordinates
>cos
>cos rule
>cos theorem
>cot
>Cubic parabola

D
>Day
>Decimal fraction, mixed periodic
>Decimal fraction, purely periodic
>Decimal fractions
>Definition of power
>Degree
>Denominator
>Dependent equations
>Dependent variable
>Determination of square root
>Determining equation
>Determining equations
>Direct proportionality function
>Discontinuous
>Discriminant of quadratic equation
>Division by a sum or difference
>Division of a product
>Division of a sum or difference by a number
>Division of fractions
>Division of relative numbers
>Division of roots with equal exponents
>Double fractions
>Dozen
>Drawing lines
>Duodecimal system

E
>Equality of two expressions
>Equation of straight line
>Equations
>Equations of the form x2n + axn + b = 0
>Equations with fractions
>Equations with roots
>Equilateral triangle
>Equilibrium equation
>Error limits
>Estimates
>Expansion and reduction of exponents, multiplication of roots with different exponents
>Expansion and reduction of fractions
>Explicit function
>Exponent of a power
>Exponential equations
>Exponential function
>Exponents of 10
>Extended Pythagoras Theorem

F
>Factor
>Factor of proportionality
>Fermat's Theorem
>Finding roots
>Finite decimal fraction
>First degree equation in one unknown
>First degree equation in two unknowns
>Four basic tasks for triangles
>Fourth proportional
>Fourth proportionl by slide rule
>Fractional exponents
>Fractions
>Fractions with different denominators
>Fractions with equal denominators
>Freezing point
>Function
>Function of parabolic growth y = ax˛ + bx + c
>Function, explicit
>Function, implicit
>Functional equations
>Functional Method
>Functional method for several variables

G
>General numbers
>General rules of powers
>General solution of x˛ + ax + b = 0
>Geometrical properties of a figure
>Goniometry
>Graph of abscissa
>Graph of power function y = xn
>Graph of y = axn
>Graphical representation
>Graphical representation by distances
>Graphical solution of equations
>Graphical solution of quadratic equations
>Graphics of general linear function
>Graphics of y = m/x
>Gross
>Group

H
>History of fractions
>History of numbers
>Hour
>Hyperbola
>Hyperbola
>Hyperbola, branch
>Hyperbola, degenerated
>Hyperbola, order of
>Hyperbolic growth

I
>Identity
>Identity
>Identity
>Implicit function
>Important algebraic formulae
>Improper fraction
>Inclination of straight line
>Independent variable
>Inner, outer terms of proportionaliy
>Insoluble equations
>Insoluble equations
>Interpolation
>Introduction of new unknowns
>Inverse functions
>Inverse of taking a power
>Inverse proportionality
>Inversion of order of individual operations
>Inversions
>Irrational numbers
>Isosceles, right-angled triangle
>Italics

L
>Land survey
>Law of permamence
>Leading sign
>Leading signs
>Limitations of proportionality
>Linear equations with more than two unknown
>Linear function
>Linear growth
>Linear growth
>Linear interpolation
>Logarithm
>Logarithm base
>Logarithm characteristic
>Logarithm computations
>Logarithm mantissa
>Logarithm proportion table
>Logarithm rules
>Logarithm tables

M
>Mantissa of logarithm
>Measurement of angles, extension
>Minute
>Mixed number
>Mixed periodic decimal fraction
>Mixed quadratic equation
>More Arithmetic
>More important algebraic formulae
>Multiple brackets
>Multiple roots
>Multiplication and division of roots with equal exponents
>Multiplication by a number
>Multiplication of fractions
>Multiplication of relative numbers
>Multiplication of roots with different exponents
>Multiplication of roots with equal exponents
>Multiplication table
>Multi-valuedness

N
>Natural numbering of position values
>Nautical mile
>Naval compass
>Navigation
>Navigational directions
>Newton's Law of grvitation
>Notation of Physics
>Number of unknowns
>Number symbols
>Number words
>Numerator
>Numerical solution of linear equations in two unknowns

O
>One partial triangle has a right angle
>Operation of the first kind
>Operation of the second kind
>Operational symbols
>Operations of different kinds
>Order of hyperbola
>Origin
>Origin of the word Algebra

P
>Parabola
>Parabolas
>Parabolas of higher order
>Parabolic growth
>Percentage rule
>Percentages
>Performance of computations
>Periodic infinite decimal fraction
>Permanence principle
>Plus sign
>Position value system
>Positive and negative numbers
>Positive and negative numbers under the root sign
>Powers
>Powers of roots
>Powers with fractional exponents
>Powers with positive and negative exponents
>Prime factor
>Principal value
>Principle of conservation of formal laws
>Problem of Delos
>Product of several factors
>Products of equal factors
>Products of sums and differences
>Progressive proportion
>Proper fraction
>Proportion table
>Proportion, progressive
>Proportion, steady
>Proportional numbers
>>Proportionality (continued)
>Proportionality factor
>Proportionality, direct
>Proportionality, higher order
>Proportionality, indirect
>Proportions
>Proportions by slide rule
>Purely periodic decimal fraction
>Pythagoras equation
>Pythagorean numbers

Q
>Quadrant
>Quadratic complement
>Quadratic equation, discriminant
>Quadratic equation, general solution
>Quadratic equations

R
>Radix
>Rational numbers
>Real numbers
>Reciprocal
>Reference system
>Reflection of graph
>Relations between positive and negative angles
>Relations between trigonometric functions
>Relative numbers
>Relative numbers
>Relative numbers
>Remainder
>Representation of numbers
>Representation of percentages  
>Right relationship between the number of digits and attainable accuracy
>Right-angled triangles, calculation of
>Roman numerals
>Root function as the inverse of the power function
>Root of an equation
>Root rules
>Roots of roots
>Root's principal value
>Roots, addition and subtraction
>Round-off
>Rule of corresponding additions and subtractions
>Rules of computation with fractions

S
>Scale
>Selected values of the trigonometric functions
>Selection of unknown
>Sexagesimal system
>Ship's log
>Significance of numbers
>Simple fraction
>Simplify expressions
>sin
>Sin function
>sin rule
>sin, geometrical properties
>Single-valued function
>Slide rule
>Slide rule runner
>Smallest common denominator
>Solution of an equation
>Solution by equating equations
>Solution of equation
>Solution of equation by addition
>Solution of special equations in one unknown
>Solve an equation
>Square root by computation
>Square root by constructive method
>Square root by trial
>Square root, number of digits
>Squares and Square roots by slide rule
>Steady proportion
>Stretching of graph
>Subtraction of relative numbers
>Subtraction of sums and differences
>Super-units
>Symbols and valid digits
>Symmetry of trigonometric functions
>Symmetry, axial
>Symmetry, central

T
>Tables
>Tables of logarithms
>Taking a navigational bearing
>tan
>Tan function
>Tangent function
>Terminology of powers
>Text equations
>Text equations
>Text problems
>The logarithmic function as the inverse of the exponential function
>Third power rule
>Transformation into a product
>Triangle with right angle
>Triangles, area formulae
>Triangles: Four basic tasks
>Trigonometric functions
>Trigonometric functions, extension to arbitrary angles
>Trigonometric functions, extraction of formulae from graphs
>Trigonometric functions, mechanical rule for formulae
>Trigonometric functions, other formulation
>Trigonometric functions, selected values
>Trigonometric tasks
>Trigonometric values, determination of angles
>Trigonometry

U
>Uniform growth
>Uniform Growth of straight line
>Unknowns
>Uselessness of too many digits

V
>Variable
>Variable, dependent
>Variable, independent
>Vertex
>Vieta's theorem

Y
y = axn and y = a/xn, the functions of direct and indirect proportionality of higher order

Z
>Zero
>Zero