ALGEBRA, or the Doctrine of EQUATIONS ;
Simple, Quadratic, Cubic, &c.
Operations thereof, as Reduction, Construction, &c.
ANALYTICS, or the Resolution of PROBLEMS by Species or Symbolical Expressions :
Rules or Operations hereof, Addition, Subtraction, Multiplication, &c.
Application thereof, in Combinations, Permutations, Magic Squares, Chances, Gaming, &c.
Series, Progressions, &c.
Methods de Maximis, Fluxions, Exponentials, Tangents, &c.
ARITHMETIC, including the Doctrine of DISCRETE or Discontinuous QUANTITY,
viz. Number, Ratio, Proportion,&c.
Kinds, as Integer, Fraction, Decimal, Surd, &c.
Relations, as Root, Power, Square, Cube, &c.
Rules or Operations thereof, as Notation, Numeration, Addition, Subtraction, &c.
Reduction, Practice, Position, &c.
Extraction, Approximation, &c.
Instruments subservient thereto, as Logarithms, Nepair's Bones, &c.
GEOMETRY,or the Doctrine of EXTENDED, or Continuous QUANTITY,
viz. l°, Lines, Right, Perpendicular, Parallel, Oblique, &c.
Angles, Acute, Scalenous, Vertical, Opposite, &c.
z°, Figures, or Surfaces, Triangle, Square, Parallelogram, Trapezium, Polygon, &c.
Circumstances hereof, as Perimeter, Area, &c.
Operations relating hereto, as Bissecting, Dividing, Multiplying, Measuring, &c.
Instruments used therein, as Compasses, Ruler, Square, Parallelism, Scale, &c.
Curves, as Circle, Cycloid, Cissoid, Catenaria, Caustic, Evolute, quadratrix, &c.
Circumstances thereof, as Axis, Diameter, Radius, Centre, Circumference, Absciss, Ordinate, &c.
Arch, Chord, Sine, Tangent, Secant, &c.
Instruments used herein, as Artificial Lines, Canons, &c.
Operations arising herefrom, as Surveying, taking Angles or Bearings, &c.
with Quadrant, Plain-Table, Semicircle, Circumferentor, &c.
taking Distances, with Chain, Perambulator, &c.
Plotting into Draught, Map, &c.
with Protractor, &c.
3°, Solids or Bodies, as Cube, Parallelepiped, Prism, Pyramid, Cylinder, Polyhedron, &c.
Their Surface, Solidity, &c.
Operations relating hereto, as Cubature, measuring of Timber, Gauging, &c.
Instruments used herein, as Carpenters Rule, Sector, Sliding Rule, Gauging Rod, &c.----
The Sphere, its Doctrine, Projection, &c.
Application thereof, in Planisphere, Analemma, &c.----
The Cone, its Sections, Ellipsis, Parabola, Hyperbola, &c.
Their Asymptotes, Foci, &c.
Their Construction, Quadrature, Rectification, &c.