Index of terms

Every concept, theorem, method and person the concept graph places in a chapter of this book, with the chapters that teach it and the other books on the shelf that teach it too.

Concepts (48)

ambiguous case
Taught in: SOLUTION OF TRIANGLES
Also in: Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
angle bisector
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
Also in: Plane Geometry
angle of elevation
Taught in: OF TRIGONOMETRICAL SURVEYING
arithmetical mean
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: A Course of Pure Mathematics, Calculus Made Easy, The First Steps in Algebra
base line
Taught in: OF TRIGONOMETRICAL SURVEYING
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
base of a logarithm system
Taught in: OF LOGARITHMIC TABLES
Also in: A Course of Pure Mathematics
broken line
Taught in: OF PROJECTIONS
Also in: Plane Geometry
characteristic
Taught in: OF LOGARITHMIC TABLES
circular function
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: A Course of Pure Mathematics, Calculus Made Easy
circular measure
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE, CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS, THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
Also in: A Course of Pure Mathematics, Spherical Trigonometry, for the Use of Colleges and Schools
circular sector
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: Calculus Made Easy, Plane Geometry
common logarithm
Taught in: OF LOGARITHMIC TABLES
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus
complementary angles
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE, CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
constant
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Solid Geometry with Problems and Applications
cosecant
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: A Course of Pure Mathematics, Calculus Made Easy, Mathematical Recreations and Essays
cosine
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS, THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
cotangent
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: A Course of Pure Mathematics, Calculus Made Easy, Spherical Trigonometry, for the Use of Colleges and Schools
excircle
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
function
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Solid Geometry with Problems and Applications
geodesy
Taught in: OF TRIGONOMETRICAL SURVEYING
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
geometrical mean
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: A Course of Pure Mathematics, Plane Geometry, The First Steps in Algebra
horizontal angle
Taught in: OF TRIGONOMETRICAL SURVEYING
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
inclination of two lines
Taught in: OF PROJECTIONS
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
inscribed circle
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
Also in: Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
limit
Taught in: OF THE MENSURATION OF THE CIRCLE, THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Solid Geometry with Problems and Applications
line of projection
Taught in: OF PROJECTIONS
logarithm
Taught in: OF LOGARITHMIC TABLES
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Spherical Trigonometry, for the Use of Colleges and Schools
mantissa
Taught in: OF LOGARITHMIC TABLES
negative direction
Taught in: OF SYMBOLS OF QUANTITY
Also in: Elementary Illustrations of the Differential and Integral Calculus
origin
Taught in: OF SYMBOLS OF QUANTITY
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
periodic function
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Mathematical Recreations and Essays
positive direction
Taught in: OF SYMBOLS OF QUANTITY
Also in: A Course of Pure Mathematics, Elementary Illustrations of the Differential and Integral Calculus
projection
Taught in: OF PROJECTIONS, THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
Also in: Solid Geometry with Problems and Applications, Treatise on Thermodynamics, Vector Analysis and Quaternions
projection of a line
Taught in: OF PROJECTIONS
Also in: Solid Geometry with Problems and Applications
ratio
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Treatise on Thermodynamics
regular polygon
Taught in: OF THE MENSURATION OF THE CIRCLE, CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Plane Geometry
secant
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: A Course of Pure Mathematics, Calculus Made Easy, Plane Geometry
sexagesimal system
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE
similar curves
Taught in: OF THE MENSURATION OF THE CIRCLE
sine
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS, THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
station
Taught in: OF TRIGONOMETRICAL SURVEYING
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
supplementary angles
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
tangent
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, Mathematical Recreations and Essays, Plane Geometry, Treatise on Thermodynamics
tangent function
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
triangle
Taught in: SOLUTION OF TRIANGLES
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
variable
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Solid Geometry with Problems and Applications, The First Steps in Algebra
versine
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
vertical angle
Taught in: OF TRIGONOMETRICAL SURVEYING

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Theorems (25)

area of a circular sector
Taught in: OF THE MENSURATION OF THE CIRCLE
areas of similar segments are proportional to the squares on their chords
Taught in: OF THE MENSURATION OF THE CIRCLE
convex line is less than any line enveloping it
Taught in: OF THE MENSURATION OF THE CIRCLE
cosine of the difference of two angles
Taught in: THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
cosine of the sum of two angles
Taught in: THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
Heron's formula
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
Also in: Plane Geometry
law of sines
Taught in: SOLUTION OF TRIANGLES
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
lengths of similar arcs are proportional to their chords
Taught in: OF THE MENSURATION OF THE CIRCLE
limiting radius of inscribed and circumscribed circles
Taught in: THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
limits of equal variables are equal
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: Solid Geometry with Problems and Applications
logarithm of 1 is zero
Taught in: OF LOGARITHMIC TABLES
logarithm of a power
Taught in: OF LOGARITHMIC TABLES
logarithm of a product
Taught in: OF LOGARITHMIC TABLES
logarithm of a quotient
Taught in: OF LOGARITHMIC TABLES
projection of a broken line
Taught in: OF PROJECTIONS, THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
projection of a line on a line
Taught in: OF PROJECTIONS
radii of inscribed and circumscribed circles of doubled polygons
Taught in: OF THE MENSURATION OF THE CIRCLE
radius of the inscribed circle from the sides
Taught in: SOLUTION OF TRIANGLES
sine of the difference of two angles
Taught in: THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
sine of the sum of two angles
Taught in: THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
tangent formula for two sides and the included angle
Taught in: SOLUTION OF TRIANGLES
triangle area as a mean proportional
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
triangle area as excircle radius times tangent
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
triangle area as semi-perimeter times inradius
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
trigonometric identity
Taught in: CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS
Also in: A Course of Pure Mathematics, Calculus Made Easy

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Methods (8)

approximating pi by inscribed and circumscribed polygons
Taught in: OF THE MENSURATION OF THE CIRCLE
deriving sum and difference formulae by projection
Taught in: THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
interpolating in logarithmic tables
Taught in: OF LOGARITHMIC TABLES
Also in: First Course in the Theory of Equations, Solid Geometry with Problems and Applications
solving a right-angled triangle
Taught in: OF TRIGONOMETRICAL SURVEYING
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
solving a right-angled triangle logarithmically
Taught in: SOLUTION OF TRIANGLES
solving a triangle
Taught in: SOLUTION OF TRIANGLES
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
solving a triangle from its three sides
Taught in: SOLUTION OF TRIANGLES
Also in: Spherical Trigonometry, for the Use of Colleges and Schools
solving a triangle from two sides and the included angle
Taught in: SOLUTION OF TRIANGLES
Also in: Spherical Trigonometry, for the Use of Colleges and Schools

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Quantities (11)

angle
Taught in: OF SYMBOLS OF QUANTITY, OF THE UNIT OF ANGULAR MAGNITUDE, CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS, THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Plane Geometry, Solid Geometry with Problems and Applications, Vector Analysis and Quaternions
arc of a circle
Taught in: OF SYMBOLS OF QUANTITY
Also in: Elementary Illustrations of the Differential and Integral Calculus
area
Taught in: OF THE MENSURATION OF THE CIRCLE, OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Mathematical Recreations and Essays, Plane Geometry, Solid Geometry with Problems and Applications
circumference
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays, Plane Geometry, Solid Geometry with Problems and Applications
distance
Taught in: OF TRIGONOMETRICAL SURVEYING
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry
height
Taught in: OF TRIGONOMETRICAL SURVEYING
length of a curve
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: A Course of Pure Mathematics
pi
Taught in: OF THE MENSURATION OF THE CIRCLE, OF THE UNIT OF ANGULAR MAGNITUDE
Also in: A Course of Pure Mathematics, Solid Geometry with Problems and Applications
radius
Taught in: OF THE MENSURATION OF THE CIRCLE, OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE, CIRCULAR FUNCTIONS, OR TRIGONOMETRICAL RATIOS, THE SINE AND COSINE OF THE SUM AND DIFFERENCE OF TWO ANGLES
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
right angle
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE
Also in: Solid Geometry with Problems and Applications
semi-perimeter
Taught in: OF THE AREA OF A TRIANGLE AND OF THE INSCRIBED CIRCLE
Also in: Spherical Trigonometry, for the Use of Colleges and Schools

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Units (4)

degree of angle
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE
Also in: Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
minute of arc
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE
Also in: Elementary Illustrations of the Differential and Integral Calculus
radian
Taught in: OF THE MENSURATION OF THE CIRCLE, OF THE UNIT OF ANGULAR MAGNITUDE
Also in: Calculus Made Easy, First Course in the Theory of Equations, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
second of arc
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE

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Instruments (2)

sextant
Taught in: OF TRIGONOMETRICAL SURVEYING
theodolite
Taught in: OF TRIGONOMETRICAL SURVEYING

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People (6)

Adrian Metius
Taught in: OF THE MENSURATION OF THE CIRCLE
Archimedes
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: Elementary Illustrations of the Differential and Integral Calculus, Mathematical Recreations and Essays
Euclid
Taught in: OF SYMBOLS OF QUANTITY
Also in: A Course of Pure Mathematics, Mathematical Recreations and Essays, Spherical Trigonometry, for the Use of Colleges and Schools
Isaac Newton
Taught in: OF THE MENSURATION OF THE CIRCLE
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, Mathematical Recreations and Essays
John Napier
Taught in: OF LOGARITHMIC TABLES
Also in: A Course of Pure Mathematics, Calculus Made Easy, Spherical Trigonometry, for the Use of Colleges and Schools
Ptolemy
Taught in: OF THE UNIT OF ANGULAR MAGNITUDE
Also in: A Course of Pure Mathematics, An Introduction to Mathematics

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