Scientific Calculator With The Aid Of Geometry And Based Upon It, A Mechanical Calculator
Narinder Kumar Wadhawan

TL;DR
This paper introduces a battery-free mechanical calculator that uses geometric properties of similar triangles to perform scientific calculations like roots, logarithms, and exponents through a novel geometric method.
Contribution
It presents a new geometric approach for scientific calculations and a mechanical analogue device based on similar triangles, eliminating the need for electronic calculators.
Findings
Successfully performs scientific calculations using geometric methods
Design of a mechanical calculator based on similar triangles
Provides error-free calculations without batteries
Abstract
Scientific calculations involving multiplication, division, exponents, inverse exponents of real numbers, geometric mean, reciprocal, Euler number, logarithm, and antilogarithm are generally carried out using battery operated electronic calculators. In this paper, geometric methods employing properties of similar right angled triangles have been devised for performing error free scientific calculations without the use of batteries. Based on this method, a mechanical analogue calculator has also been designed. A right-angled triangle with one perpendicular side of unit length is drawn, and from the vertex of the right angle, a perpendicular is drawn onto the hypotenuse. From the point of intersection of this perpendicular with the hypotenuse, another perpendicular is drawn to the base, and this process is continued until n perpendiculars are drawn. The resultant figure is a right angled…
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Advanced Mathematical Theories · Multidisciplinary Science and Engineering Research
