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The Arithmetic of Space
A Geometrical Dictionary
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Accordingly affine geometry applied approximation argument arrow axes Banach spaces banking schemes binomial theorem calculation cats and dogs chain Chapter Three circle commutative complex numbers consider continuous function convergent coordinates corresponding curve defined definition denote diagonal form differential equation distance earlier eigenvector elementary algebra Euclid's geometry example expression fact Fibonacci Fibonacci sequence formula four dimensions given gives graph paper idea involved Laplace's Equation length linear transformation linearly dependent mapping mathe mathematicians matrix maximum means metric space mid-point multiplication notation nought number of dimensions objects operation origin parallelogram plane polynomials position potential problem produce properties prove quadratic question real number represent result rigid movement rotation satisfies scalar product sequence shown in Figure simple situation solution space of four specified squares string Suppose symbols tangent tests theory things three dimensions tions triangle vector space write xA yB yield