✦ LIBER ✦

Kepler's area law in the Principia: filling in some details in Newton's proof of Proposition 1

✍ Scribed by Michael Nauenberg

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 166 KB
Volume: 30
Category: Article
ISSN: 0315-0860
DOI: 10.1016/s0315-0860(02)00027-7

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The visualization of quadratures in the

The visualization of quadratures in the mystery of corollary 3 to proposition 41 of Newton's Principia

✍ Herman Erlichson 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 649 KB

When Newton gave his general solution to the inverse problem of central forces in Proposition 41 of Book I of his Principia he offered only one concrete example, the orbits for an inverse cube force with the initial velocity perpendicular to the line to the force center. This example is contained in

An Episode in the History of Dynamics: J

An Episode in the History of Dynamics: Jakob Hermann's Proof (1716–1717) of Proposition 1, Book 1, of Newton'sPrincipia

✍ Niccolò Guicciardini 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 183 KB

Proposition 1 of Book 1 of Newton's Principia (1687), which states that Kepler's area law holds for any central force, plays a fundamental role in the study of central force motion. Newton's geometric proof of this proposition is based on an intuitive theory of limits. In 1716-1717 the Swiss mathema