The Logic and Utility of Mathematics: With the Best Methods of Instruction Explained and Illustrated

abstract Algebra algebraic quantity analysis Analytical Geometry applicable apprehended argument axioms basis bers branch called combinations common compared comparison conclusion connection copula Croton aqueduct curved deductive deductive reasoning defined definition denominate numbers divided division elementary employed ence equal equation eral exact example explain expressed facts feet figures formula frac fractional units geometrical magnitudes gism Hence ical idea Induction inferred integer integer units Integral Calculus kind knowledge known laws learner length logic mathematical science means merate method metic middle term mind Mixed Mathematics multiplied nature Number and Space operations plane practical predicate premises principles properties proportion proposition pupil quantity quotient ratio reasoning regarded relation right angles scale of tens sides signification solid species square straight line subtraction surface syllogism symbols things tion triangle Troy Weight true truths unit of measure unity whole words yard