## Bigeometric calculus: a system with a scale-free derivative |

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### Contents

THE CLASSICAL CALCULUS | 3 |

THE BI GEOMETRIC CALCULUS | 18 |

GEOMETRIC ARITHMETIC | 36 |

6 other sections not shown

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### Common terms and phrases

Abraham Robinson anageometric arguments and values arithme arithmetic average arithmetic partition Basic Theorem best-fits f classically bigeometric calculus bipositive point x,y Boscovich Cartesian geometry changes in arguments Chapter classical arithmetic classical calculus classical centroid classical derivative classical distance classical gradient classical integral classical slope collinear concept continuous bipositive function continuous function continuous on r,s cost-of-living index denoted Euclidean Euclidean geometry f is constant f is continuous f on r,s function f function that best-fits geometric arithmetic geometric average geometric partition gradient and derivative gradient of h GRAPHICAL INTERPRETATION heuristic principles Howard Eves least squares Leibniz linear func Mathematics method of least metic metric Michael Grossman n-fold non-Newtonian calculi nonvertical lines NOTES operator partition of r,s positive interval r,s positive numbers power function quadratic ratios Robert Katz Roger Joseph Boscovich scale-free scales or units Section sitive tangent Theorem of Calculus Theorem of Classical tion tive vector Wfcf