Table IV from
Bernoulli's article in
Acta Eruditorium 1697
Acta Eruditorium 1697
A reproduction and explanation of
the original curves.
Legend for the Figures
|
| Fig. I,
II, III. |
Solution and explanation
from "JOH. BERNOULLI", i.e., (Johann, John, or Jean). I. "Cycloidem" II. "Brachystochrona" III. "Quœritur in plano verticali - Curve Synchrona PB." Galileo is also discussed. |
| Fig. IV, V,
VI, VII, VIII. |
Solution and explanation
from "JAC. BERNOULLI", i.e., (Jacques, James or Jacob). The "isochronam illam Hugenianm" is injected on Fig. VI. Fig. VII. discusses "Funiculariam" while Fig. VIII. mentions "Tschirnbausium" and "Problematis Physico-Mathematici" (Tschirnhausen Cubic). |
| Fig. IX, X. |
Solution and explanation
from "HOSPITALLII", (l'Hôpital, or L'Hospital). |
| Fig. XI. |
"Des-Cartes curvarum"
with a brief explanation under the heading of
"Universalia Theoremata Eruendi". |
| Fig. XII,
XIII. |
Anonymous solution
entitled, "Excerpta EX TRANSACTIONIBUS PHILOS. ANGLIC"
(Recognized by Johann Bernoulli as the work of Sir Isaac
Newton with the famous quote, "The lion is know by its
claw." |
| All readers of this material will join the National Curve Bank - A MATH Archive in thanking the Huntington Library, San Marino, CA, for permitting us to enjoy this publication dating to 1697. Interestingly, the Huntington copy was remaindered from the University of Stockholm, Sweden. | |