Correspondence of Scientific Men of the Seventeenth Century,: Including Letters of Barrow, Flamstead, Wallis, and Newton, Printed from the Originals in the Collection of the Right Honourable the Earl of Macclesfield..

Couverture
At the University Press, 1841
 

Table des matières

Major General Lamberts problems
32
Parabolic conoid Cubical parabolic conoid section of
38
Sums of terms squares and cubes of arithmetical progression
46
Full account of the micrometer with previous experiments
55
Quadrature of hyperbola Theorems on circle cone conoid
56
Asks for the solution of a problem
60
Explanations and continuations of the last
64
Discourages Keylway Mentions Cavalieri and prognosticates
66
His optical lectures Slusius
68
Private affairs Questions in mathematics
73
On the same subject
75
Earnestly desires help in the solution of ab1 bc2 cd3
80
Explains derivation of problem in XXIX as at the end of
86
Flamsteeds well known first paper partly printed in the Phil
90
Acknowledges a donation and asks for interest with govern
92
Acknowledgments and inquiries Errors in Riccioli
98
Evelyn Mezzotinto Hobbes Boyle Gravity of air
99
Commissions Lunar eclipse Correction of Fabris Optics
103
Thanks for communication about pendulums at sea Question
106
Commissions Horrocks Criticism of Hevelius The print
110
Campanis observations Watches Oscillations
112
Barometer China Gresham rarities
114
Commissions Observations
116
Remarks on books Salusbury List of books
120
Gascoigne and Crabtree Hevelius Miscellaneous
122
Jesuits Euclid Conversation about elementary works Hud
129
Comment on Horrocks and Hevelius Jupiter Cracked
135
Pells edition of Brankers Rhonius Kersey
136
Criticism on Horrockss theory of the motion of the moons
143
Books Problems of the differential kind Barrow
147
Edition of Horrocks
151
Remarks on books Rawlinson Anderson Streete Har
155
Correction of mistake in his meaning
157
Acknowledgments Edition of Horrocks Keplers Mars
163
Miscellaneous commissions c and news of books and mathe
164
Huyghens equation of days
170
Wallis Wren Mention of books
172
Experiments with the steel bow
174
Newtons reflecting telescope Morlands speakingtrumpet
179
Books on Maxima and Minima Cassini Quadratures
181
Newtons Kinkhuysen Mention of books Problem of
186
Reply to Walliss objection on last subject A quadrant
187
Barrow Criticism on Anderson Proposition on ellipses
193
Books Newton Sluse Problem by Sluse solved
195
Roots of equation Fermat on numbers Dulaurens Dary
201
Maurolycus and others conic sections Coming publications
203
Baldis lives of mathematicians News of mathematicians
209
Sir Criticism on Anderson Circle and hyperbola
215
Sept 30 1675 COLLINS to Oldenburg FOR TSCHIRNHAUS
220
Council of plantations Bernard Information on books
221
Solution of equations Second segments of spheroids
229
On his paper on aphelia Error in Mercator on Ward
236
On the paper on aphelia
242
Pells assertions on equations c Haak Descartes censure
248
Rejoinder to Newtons answer to Collins about the last letter
250
Observations of solar eclipse
254
Inquiries and difficulties on the canons Impossible quan
281
Godfreys quadrant Complaint of Halley Geometrical
286
to find the rate of interest Kinkhuy
288
Difficulty in sines for arc of ellipse Attempt at substitution
292
The wellknown letter of counsel to a young man setting
295
Sends some papers on quadratures
298
Continuation of the last Abuse of Berkeley
300
Kinkhuysen reprint of Harmonic progression Mengolus
301
Further quadratures
310
Illness Begins to new methodise the doctrine of series Har
311
On speculummetal Sends admission money to Royal
317
Answer to reply to CVIII on arc of ellipse Godfrey
319
Acknowledgments and thanks Varenius Additions
323
Problem in Gregory Duplication of the cube
326
Answer to inquiries on optics Queries on optics
328
Remarks on previous duplication Remarks on Halleys solu
332
Printing of proposals Pardies letter and answer
334
Complaint of being incorrectly printed in Phil Trans
340
Formula for approximate solution of equations
346
Thanks for Horrox Understands that foreign mathema
347
Private affairs Problems in quadratures
353
On a point in Picards measurement and his own
359
Comparison by a friend of Heuret and Boss Bosse on optics
360
Formulæ for logarithms Quadrature of lunales Leyden
365
Although he sent three papers yesterday has had fresh
367
Approximate extraction of roots
372
Astronomical observations and remarks
375
The same experiment on electric virtue of glass Answer
380
Further account of the glass experiment More on Hookes
387
Reply at length to an objection on the theory of colours
395
Remarks on a letter therewith sent containing problems
402
Detailed account of the ethereal hypothesis
419
Acknowledgment of some calculations and application
436
Question in geometry of ellipse arising out of Bouillaud
443
Remarks on demonstrations in conic sections
450
His illness Tin farthings Notes on books Hints
458
Present of books Mathematical instrument makers Notes
460
Pasted quadrant His navigation Notes on books Manu
465
Explanation on Pittss offer Kersey Bunning Cocker
474
Oughtred Vieta Points of notation Notes on books
482
Criticism on Dulaurens Neils quadrature Leotaud
490
Forwards corrections for printer The sign x Quadrature
497
Printing Pell Huyghens and others quadrature of hyper
505
Table of segments of circles
512
Criticism of Dr Newton Notes of books c
517
Book of that new Dutch engine Corrections for
524
Papers of Horrocks and Crabtree Printing in parts New
530
Solution of a problem of tangents
537
Addition to CCCXXII
542
Description of various things sent for the work of Hor
547
Letter from Schooten concerning Hudde Perkess dialling
555
No date COLLINS TO WALLIS
643
Kinkhuysen The problems of trisection and of two mean
655
Sept 21 1717 NEWTON TO THE COMMISSIONERS
658
often given to the Dutch and the sarcasm refers to the titles of Apollonius
662

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Page 294 - Roman vitrioll), but of a nobler virtue than that which is now called by that name ; which vitrioll is not now to be gotten, because, perhaps, they make a greater gain by some such trick as turning iron into copper with it than by selling it. 2. Whether, in Hungary, Sclavonia, Bohemia, near the town Eila, or at the mountains of Bohemia near Silesia, there be rivers whose waters are Impregnated with gold ; perhaps, the gold being dissolved by some corrosive waters like aqua regis, and the solution...
Page 293 - ... in silence, and with a jest, though with some dishonour, than to endeavour revenge ; for, in the first case, your credit's ne'er the worse when you return into England, or come into other company that have not heard of the quarrell.
Page 294 - ... of rocks in the mines, and then melting the slimy solution in a strong fire, which in the cooling proves copper. The like is said to be done in other places, which I cannot now remember ; perhaps, too, it may be done in Italy.
Page 294 - ... and if you meet with any transmutations out of their own species into another, (as out of iron into copper, out of any...
Page 390 - For if such an aetherial spirit may be condensed in fermenting or burning bodies, or otherwise coagulated in the pores of the earth and water into some kind of humid active matter for the continual uses of nature, (adhering to the sides of those pores after the manner that vapours condense on the sides of a vessel,) the vast body of the earth, which may be everywhere to the very centre in.
Page 292 - When you come into any fresh company, 1. Observe their humours. 2. Suit your own carriage thereto, by which insinuation you will make their converse more free and open. 3. Let your...
Page 427 - And it appears by experience, as well as by reason, that silver flows from those places where its value is lowest in proportion to gold, as from Spain to all Europe, and from all Europe to the East Indies, China, and Japan; and that gold is most plentiful in those places in which its value is highest in proportion to silver, as in Spain and England.
Page 426 - Silver, and this hath made that Kingdom, which formerly was content with Copper Money, abound of late with Silver, sent thither (I suspect ) for Naval Stores.
Page 313 - Sarum in proposing me a candidate ; and which, I hope, will be further conferred upon me by my election into the Society ; and if so, I shall endeavour to testify my gratitude, by communicating what my poor and solitary endeavours can effect towards the promoting your philosophical designs.
Page 380 - ... it, as might inform me of the manner of the production of those colours, to ground an hypothesis on ; he having given no further insight to it than this, that the colour depended on some certain thickness of the plate ; though what that thickness was at every colour, he confesses, in his Micrography, he had attempted in vain to learn ; and, therefore, seeing I was left to measure it myself, I suppose he will allow me to make use of what I took the pains to find out ; and this I hope may vindicate...

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