Table of contents1.
3) Ad calculum sinuum 4or differentiarum succedentium
[tr:
For the calculation of four successive differences of sines.
]
2)
De 3o et 4o casu
ton syntomon (1.
[tr:
On cases 3 and 4 of Syntomon
]
Ad triangula sphærica obliquangula Vietæ (2.
[tr:
On Viète's obtuse-angle spherical triangles.
]
(3.
(4.
(5.
Analogia per sinus versos, et universalis ad triangula
sphærica cuiuscunque conditionis.
[tr:
Ratio by versed sines, and generally for a spherical trianlge under any conditions.
]
(6.
Investigatio analogiæ
Vietanæ
[tr:
Investigation of Viète's ratios.
]
(7.
Vieta lib. 8. resp.
pag. 39.
Syntomon
[tr:
Viète, Responsorum liber VIII.
Syntomon
]
2) syntomon
[tr:
2) Syntomon
]
(8.
(9.
Casuum Limitatio cum designatione adcomodum
[tr:
Determination of cases with a useful specification
]
(10.
(11.
(12.
(13.
(14.
(15.
De 5o, et 6o, casu
ton syntomon
[tr:
On the 5th and 6th cases of syntomon.
]
(16.
ton syntomon ruminatio. 6 casus exhibantur et omnes
varia enunicantur et designantur; ut magis canonicæ
formæ ad usus seligantur.
[tr:
Further thoughts on syntomon.
6 cases are exhibeted and all varations enunicated and specified;
so that canonical forms can further be picked out in practice.
]
(17.
sex casuum ton syntomon
duæ selectæ formæ.
[tr:
Six cases of Syntomon;
two chosen forms.
]
(18.
Exempla operandi per syntomon,
secundum duas formas selectas.
[tr:
Examples of working with Syntomon according to two chosen forms.
]
Analogia per sinus versos, et universalis ad triangula
sphærica cuiuscunque affectionis conditionis.
[tr:
Ratio by versed sines, and generally for a spherical trianlge under any conditions.
]
5) Ad calculum sinuum trium differentiarum succedentium
[tr:
For the calculation of three successive differences of sines.
]
4)
3)
2)
6)
Ad calculum sinuum, per progressiones.
[tr:
For the calculation of sines, by progressisons
]
6) Ad calculum sinuum 5 differentiarum succedentium
[tr:
For the calculation of 5 successive differences of sines
]
3) Tertariæ differentiæ
[tr:
Of third differences
]
3) Secundariæ differentiæ
[tr:
Of second differences
]
3) Primariæ differentiæ
[tr:
Of first differences
]
2)
1)
7)
Archimedes. de cylindro
pa. 26.
[tr:
Archimedes, De cylindro, page 26.
]
Archimedes. de cylindro
pa. 19.
[tr:
Archimedes, De cylindro, page 19.
]
Archimedes. De cylindro. pag. 14.
[tr:
Archimedes, De cylindro, page 14.
]
Vieta. resp. pag. 42, b. A. De Triangulis rectangulis sphaericis
[tr:
Viète, Responsorum liber VIII, page 42v. On right-angled spherical triangles.
]
Demonstratio eorum quæ desiderant
in Vieta. lib. 8. respons. pag. 41.b.
sectione 18.
[tr:
Demonstration of what is missing in Viète, Responsorum liber VIII, page 41v, section 18.
]
12.) Data summa vel differentia duarum periferiarum,
quarum sinus datam habeant rationem: dantur singulares
peripheriæ.
[tr:
Given the sum or difference of two arcs, for which the sines are in a given ratio, the individual arcs are given.
]
13.) Data summa vel differentia
duarum peripheriarum,
quarum sinus datam habeant
rationem: dantur singulares
peripheriæ.
[tr:
Given the sum or difference of two arcs, for which the sines are in a given ratio, the individual arcs are given.
]
a.) 1.) De anomalijs Kepler. 284. 290.
[tr:
Kepler, De anomalijs, pages 284, 290.
]
De anomalijs (a.1.)
a.1 De anomalijs
a.1) De anomalijs 284.290.
a.1. Aliter et optime
a.1. De anomalijs 299.
a.1 De anomalijs Emendatur.
Keplerus. 299.
[tr:
De anomalijs. Amended. Kepler, page 299.
]
a.2 De anomalijs
a.3.) De anomalijs
Kepler. pa. 290.
299. Kepr.
[tr:
Kepler, page 299.
]
299.
Charta.
(a.1) de
Anomalijs
[tr:
Page 299, Sheet (a.1), De anomalijs
]
Anapherosis trianguli obliquanguli
Lansbergi
[tr:
Anapherosis for oblique-angled triangles, from Lansberg
]
Anapherosis Trianguli Vietani
[tr:
Anapherosis in a triangle of Viète
]
Conversio triangul Vietani
[tr:
Conversion of Viète's triangle
]
Datis tribus angulis quaesitur latus. Lansbergi trianguli
solutio.
[tr:
Given three angles, a side is sought. Solution from Lansberg, Triangulorum geometriae.
]
De Anapherosi et conversione traingulorum
[tr:
On Anapherosis and the conversion of triangles
]
Datis tribus lateri, quaeruntur anguli
[tr:
Given three sides, the angles the angles are sought.
]
Cornus. Vieta habet 6 sequentes analogias
[tr:
Horn angle. Viète has the 6 following ratios.
]
De Triangulis Sphæricis Rectangulis
Cornus
[tr:
On right-angles spherical triangles. Horn angle.
]
Siphon
vieta in lib. 8. respons.
pag. 37.
proportionalia
[tr:
Viète, in Responsorum liber VIII, page 37, proportionals
]
Vieta lib. 8. resp.
pag. 37
[tr:
Viète, in Responsorum liber VIII, page 37.
]
Vieta. lib. 8. responsorum.
pag. 37b.
[tr:
Viète, in Responsorum liber VIII, page 37.
]
Vieta lib. 8. resp.
pag. 41. b.
prop. 18
[tr:
Viète, Responsorum liber VIII, page 41v, Proposition 18.
]
Vieta. lib. 8. responsorum.
pag. 37b.
Diagramma ad demonstrationem prop. 12.
[tr:
Viète, in Responsorum liber VIII, page 37.
Diagram for the demonstration of Proposition 12.
]
Vieta. lib. 8. resp.
pag. 35. prop. 14. proch?on
[tr:
Viète, Responsorum liber VIII, page 35, Proposition 14,
]
Vieta. lib. 8. resp.
pag. 35. prop. 14. proch?on
[tr:
Viète, Responsorum liber VIII, page 35, Proposition 14,
]
Vieta. lib. 8. resp.
pag. 35. prop. 14. proch?on
[tr:
Viète, Responsorum liber VIII, page 35, Proposition 14,
]
Vieta. lib. 8. resp.
pag. 35. prop. 14. proch?on
[tr:
Viète, Responsorum liber VIII, page 35, Proposition 14,
]
Vieta. lib. 8. resp.
pag. 38.
parapompe. 3. Data summa vel differentia.
pag. 37.b.
parapompe. data septimi
[tr:
Viète, Responsorum liber VIII, page 38v. On sines.
]
Vieta. lib. 8. resp.
pag. 38.
Data peripheria
compositam
Data peripheria differentia
duarum perpheriarum
[tr:
Viète, Responsorum liber VIII, page 38.
Given the sum of the arcs
Given the difference of two arcs
]
Vieta. resp. lib. 8. pag. 37. b. De sinubus
[tr:
Viète, Responsorum liber VIII, page 38v. On sines.
]
Of unæquall progression
of sines. For S.W.L.
Propositio
[tr:
Proposition
]
Propositio
[tr:
Proposition
]
Problema
[tr:
Problem
]
Ad Auctorium Vietæ in responso ad Romanum
[tr:
On teh authority of Viète in his response to Romanus
]
Propositiones quædam
ex Menelauo
et
Thebit
[tr:
Certain propositions from Menelaus and Thebit
]
Ex libro 3. Spæricorum Menelai
secundum traditionem Maurolyci
1
[tr:
From Book 3 of Sphærica Menelai, as translated by Maurolicus
]
2
3
4
4. Differentiæ differentiarum
[tr:
Differences of differences
]
5. Differentiæ differentiarum differentiarum
[tr:
Differences of differences of differences
]
5).2.
5).3.
5).4.
6. Differentiæ differentiarum differentiarum
[tr:
Differences of differences of differences
]
6).
7.) Differentiæ differentiarum differentiarum
[tr:
Differences of differences of differences
]
8.) Differentiæ differentiarum differentiarum
[tr:
Differences of differences of differences
]
9) Differentiæ differentiarum differentiarum differentiarum
[tr:
Differences of differences of differences of differences
]
9)
10) Differentiæ differentiarum differentiarum differentiarum
[tr:
Differences of differences of differences of differences
]
11) Differentiæ differentiarum differentiarum differentiarum
[tr:
Differences of differences of differences of differences
]
Appol. lib. 1. prop. 11. De conicis
[tr:
Apollonius, Book I, Proposition 11. On conics
]
Appol. lib. 1. prop. 20. De conicis
[tr:
Apollonius, Book I, Proposition 20. On conics
]
Appol. 22.b.
lib. 1. pro. 30.
[tr:
Apollonius, page 22v, Book I, Proposition 30.
]
Appoll. pa: 24.b
lib. 1. pr. 33
[tr:
Apollonius, page 24v, Book I, Proposition 33.
]
lib. 1.
Appol. pag. 27.
prop. 37.
[tr:
Book I, Apollonius, page 27, Proposition 37.
]
Appol. pag. 28
pro: 38.
[tr:
Apollonius, page 28, Proposition 38.
]
Appol: lib. 1. pag. 28.
prop: 38
[tr:
Apollonius, page 28, Proposition 38.
]
lib. 1.
App. pag. 29.
pro: 39.
[tr:
Book I, Apollonius, page 29, Proposition 39.
]
pag: 29. b.
Appol. pro: 41
[tr:
page 29v, Apollonius, Proposition 41.
]
pag: 29.
Ap. pro: 41
[tr:
page 29, Apollonius, Proposition 41.
]
pag. 37.
Appol. pro: 52
[tr:
page 37, Apollonius, Proposition 52.
]
De ellipsi.
[tr:
On the ellipse
]
pappus. 321
Datæ, coniugatæ elypseos
diametri ab, cd.
Quæruntur axes.
[tr:
Pappus, page 321.
Given conjugate ellipses with diameters ab, cd, there are sought the axes.
]
Locus in sphaeram concavu et convexa, videtur in catheto.
fallitur Baptista de Ben:
pag: 339
343
344
Viet. lib. 8. res. prop. 14. proch?on
pag. 35.
[tr:
Viète, Responsorum liber VIII, Proposition 14, page 35.
]
Vieta resp. pag. 12. lin: 9, De quadrataria
[tr:
Viète, Responsorum, page 12, line 9, On the quadratirix
]
Hyperboles descriptio. per 51. pr. 3: lib. Appollonij
[tr:
A description of a hyperbola, by Propostion 53, Book 3, of Apollonius.
]
Bap: de Ben:
pag: 349
334
[tr:
Baptista de Benedictis, page 349, 334
]
Barocius. pag. 104.
Appol. lib: 1. pag. 25
prop: 34. Elementa tactus
[tr:
Apollonius, Book 1, page 25, Proposition 34. Elements of tangents.
]
1) circa 5 data puncta quæ sunt in ellipsi hklmn
ellipsin describere.
[tr:
Around 5 given points which are on an ellipse hklmn, describe the ellipse.
]
2) Circa 5 data puncta ellispin describere
[tr:
To describe an ellipse around five given points.
]
4.) Circa 5 data puncta
ellipsin describere.
pappus. 320
[tr:
To draw an ellipse through 5 given points. Pappus, page 320.
]
Archimedes de quad: centro gravitatis
parabolæ Ubaldus. pag: 172.
de centro gravitatis
[tr:
Archimedes, on the centre of gravity of a parabola, Ubaldus page 172
]
Barocius. pag. 98.
ut in elementa
conico ad tactus
prop. 34. lib. 1.
Appol.
[tr:
as in the elements of tangents to a cone, Proposition 34, Book 1, of Apollonius.
]
B.2. Appol. lib. 1. pr. 21 De hyperbola
[tr:
Apollonius, Book I, Proposition 21. On the hyperbola.
]
Leviticus. cap. 18
Some considerations rising upon the 23. p. of
Archimedes De Quadratura parabolæ & the 17 & 18 chap. of
Viætus his responsorum. pa. 29.
In Dato Cono: invenire datam parabolam ad pag: 37. Appol.
[tr:
In a given cone, to find a given parabola, as page 37 of Apollonius.
]
