Newton's Principia and inverse-square orbits in a resisting medium: A spiral of twisted logic

被引：1

作者：

Weinstock, R ^{[1
]}

机构：

[1] Oberlin Coll, Dept Phys, Oberlin, OH 44074 USA

来源：

HISTORIA MATHEMATICA | 1998年 / 25卷 / 03期

关键词：

Newton; Principia; orbit; spiral; fallacy;

D O I：

10.1006/hmat.1998.2192

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

Proposition XV/Theorem XII in Book Two of Newton's Principia deals with the spiral path of a body attracted by an inverse-square force toward a fixed center and retarded by the medium in which it travels. This article examines the argument offered by Newton as proof of the proposition/theorem and finds it fallacious. Also presented here are accounts of how Newton's purported proof is dealt with in each of three late-20th-century publications-none of which reports detection of the fallacy. (C) 1998 Academic Press.

引用

页码：281 / 289

页数：9