[1.] b.1) De radicalibus [Translation: On radicals ] Additionis exempla [Translation: Examples of addition ] b.2) De radicalibus [Translation: On radicals ] Nota. [Translation: Note ] b.3. De Additione et Subtractione (Optime.) [Translation: On addition and subtraction best ] b.4. Multiplicatio. [Translation: Multiplication ] b.5.) Applicatio. [Translation: Division ] b.6.) Multiplicatio. [Translation: Multiplication ] Applicatio. [Translation: Division ] b.7.) Applicatio. [Translation: Division ] b.8. Radicum extractio. [Translation: Extraction of roots ] b.9.) Radicum extractio. [Translation: Extraction of roots ] b.10.) Radicum extractio. [Translation: Extraction of roots ] b.11.) Radix binomij universalis. [Translation: The universal root of a binome ] Radicis Binomij, species universalis. canon [Translation: For the root of a binome, the general case, a rule. ] 4) 2o) Solutio 3a æquationis ad anguli quintusectionem. [Translation: Third solution of the equation of quintusection of angle. ] Solutio 3a. Quintusectionem. [Translation: Third solution for the quintusection of angle. ] Solutio 2a æquationis ad anguli quintusectionem. [Translation: Second solution of the equation of quintusection of angle. ] Solutio 2a. [Translation: Second solution. ] Æquatio ad anguli quintusectionem. [Translation: Equation for the quintusection of angle. ] Solutio 1a. [Translation: First solution. ] Secundum solutio responsum ad æquationem trichotomiæ. [Translation: Second response to the trichotomy equation. ] 2) 3) 1) Bombellica æquatio soluta per trichotomium anguli vel per tabulas sinuum. [Translation: The Bombellian equation solved by angle trichotomy, or by tables of sines. ] Nota subtilitates. [Translation: An examination of exactness. ] De reductione æquationum [Translation: On the reduction of equations ] Elementa triangularium [Translation: The elements of triangular numbers ] Æquationum Exempla [Translation: Examples of equations ] f.8 f.8 Nota subtilitates. [Translation: An examination of exactness. ] c.1.) De numerosa potestatum resolutione. [Translation: On the numerical resolution of powers. ] e. De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e. De resolutione æquationum per reductione Exempla quarundam æquationem cum solutionibus per radices cubicas binomiorum explicatas. [Translation: Examples of certain cubic equations with solutions in terms of roots of binomes ] Quomodo duæ sequentes æquationes soluuntur aliter quam supra. [Translation: How the two following equations may be solved otherwise than above. ] (9. (8. (7. (6. (5.2o (5. (4. (3.2o (3. (2. (1. De reductione aequationum [Translation: On the reduction of equations ] e. De resolutione æquationum per reductione 4.) De resolutione per reductionem. [Translation: On solution by reduction ] 3.) 2.) e.1.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.2.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.3.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.4.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.5.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.6.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.7.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.7.2o) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.8.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.9.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.10.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.11.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.12.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.13.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.14.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] f. De resolutione æquationum per reductionem. (1. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (2. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (3. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (4. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (5. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (6. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (7. [Translation: On the solution of equations by reduction. ] A note, for Mr Warner. f. De resolutione æquationum per reductionem. (7. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. ( [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (7. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (6. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (5. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (4. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (3. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (2. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (1. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (8. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (9. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (10. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (11. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (12. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (13. [Translation: On the solution of equations by reduction. ] d.13.2o.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] f. De resolutione æquationum per reductionem. (14. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (15. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (14. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (17. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (1. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. (18. [Translation: On the solution of equations by reduction. ] d.21.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] d.20.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] d.19.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] d.18.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] d.17.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] d.16.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] d.15.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] d.14.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] d.13.) De generatione æquationum canonicarum. [Translation: On the generation of canonical equations ] De reciprocis æquationibus. d.12.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.11.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.10.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.9.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.8.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.7.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.6.) De generatione æquationum canonicarum De reciprocis æquationibus. [Translation: On the generation of canonical equations On reciprocal equations ] d.5.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.4.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.3.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.2.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] d.1.) De generatione æquationum canonicarum [Translation: On the generation of canonical equations ] e.29.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.28.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.27.) De resolutione æquationum per æquationum reductione [Translation: On the solution of equations by reduction ] e.26.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.25.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.24.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.23.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.22.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.21.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.20.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.19.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.18.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.17.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.16.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.15.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] f. De resolutione æquationum per reductionem. [Translation: On the solution of equations by reduction. ] d.7.2o e.3.2o Exempla æquationum in numeris (1 [Translation: Examples of equations in numbers ] e.3.3o Exempla æquationum in numeris (2 [Translation: Examples of equations in numbers ] e.3.4o Exempla æquationum in numeris (3 [Translation: Examples of equations in numbers ] e.3.5o Exempla æquationum in numeris (4 [Translation: Examples of equations in numbers ] e.3.6o Exempla æquationum in numeris (5 [Translation: Examples of equations in numbers ] A) Exegesis laterum in quadratis aequationibus [Translation: A) Showing the roots in quadratic equations ] B) Exegesis laterum in quadratis aequationibus Quadrato-quadratum sub quadratis [Translation: B) Showing the roots in quadratic equations A biquadrate with a square ] C) 3) De effectione et exegesis lateris in sequenti æquatione. [Translation: 3) The construction and showing of the roots in the following equation. ] 2). De effectione exegetica lateris in illa parte illa æquatione ubi cubus affectur sub latero affirmati. vel: de reductione: &c. [Translation: 2) On the construction for showing the roots in this equation, where the cube is affected with a positive side. or of reduction, etc. ] 1) De effectione seu exegesi lateris in sequenti aequatione. [Translation: 2) On the construction or showing of the roots in the following equation. ] 1.) Si K sit maior quam C. [Translation: If K is greater than C. ] 1) 2o 3o De exegesi lateris in sequenti æquatione cubica ubi K maior quam C. [Translation: On showing the root in the following cubic equations where K is greater than C. ] 1) 2o De exegesi lateris in sequenti æquatione cubica ubi K maior quam C. Non. [Translation: On showing the root in the following cubic equations where K is greater than C. No. ] 1) De exegesi lateris. Si K maior quam C [Translation: On showing the root; if K is greater than C. ] Ad rationales æquationes cubicas [Translation: On rational cubic equations ] a.) Effectiones geometricæ [Translation: Geometrical constructions ] b.) Effectiones geometricæ [Translation: Geometrical constructions ] c.) Aequationes canonica omnes binomia quam ad locum planum pertinent. [Translation: Canonical equations, all binomial, which pertain to the plane. ] d.) Effectiones geometricae [Translation: Geometric constructions ] e.) Effectiones geometricae [Translation: Geometric constructions ] De effectionibus [Translation: On constructions ] 1.) Omnium æquationis locus. [Translation: The locus of all equations. ] 3.) 2.) De effectionibus [Translation: On constructions ] f.8 f.8 f.8 f.8 f.8 f.8 D. at2) at) at3) as) ar3) ar2) ar aq2) aq) ap) ao) an2) an1) an) am) al) ak) ai) ah) af) ag) bb2 bb2 bb2 Of alligation Interest Regula falsi [Translation: The rule of false ] Regula falsi [Translation: The rule of false ] Regula falsi [Translation: The rule of false ] Regula falsi [Translation: Rule of False ] Regula falsi [Translation: Rule of False ] Theorema 4. Theor. 5. Theor. 4. Theor. 4. Theor: 3. aliter Theorema. 3. Secundum ordinem progressionis. [Translation: Theorem 3. According to the order of progressions. ] Theorema. 3. Secundum ordinem Generationis. [Translation: Theorem 3. According to the order of generation. ] Cubus ex 2a e bin: medijs. [Translation: The cube of second bimedial. ] De cubo binomij 2i [Translation: On the cube of a second binome ] Cubus. ex 1a bin. med: [Translation: The cube of a first bimedial. ] De cubo binomij 1i [Translation: On the cube of a first binome ] De 5o et 6o casu [Translation: On the 5th and 6th cases of syntomon. ] Ex bin: med. 5. quadrata sunt bin. 1. [Translation: From the squares of fifth bimedials come first binomes. ] 14.) 13.) 12.) 11.) 10.) 9.) 8.) 7.) 6.) prop. 56.1. [Translation: Proposition 56 ] 5.) 4.) pro: 55. [Translation: proposition 55 ] 3.) De binomijs [Translation: On binomes ] 2.) De binomijs [Translation: On binomes ] 1.) De numeris planis et binomialium linearum speciebus. [Translation: On plane numbers and types of linear binomials. ] Extractio radicis cubicæ e solido binomio. [Translation: Extraction of the cube root of a solid binome. ] Lemma: ad extractionem radicis cubicæ e binomio solido. [Translation: Lemma for the extraction of cube roots of solid binomes. ] De cubo binomij 5i et 5ii [Translation: On the cube of a fifth binome of the first kind and a fifth binome of the second kind ] De cubo binomij 6i et 6ii [Translation: On the cube of a sixth binome of the first kind and a sixth binome of the second kind ] Quod cubus binomij, est cubus binomi eiusdem ordinis, et Differentia quadratum est cubus; cuius radix cubum est differentia quadratorum radicis binomij [Translation: That a cube of a binome is a binome of the same order, and the difference of the squares is a cube, whose cube root is the difference of the roots of the squares in the binome. ] De extractione radicis cubicæ e solido binomio. (χαθολιχῶς.) [Translation: On the extraction of cube roots of binomes (general) ] De extractione radicis cubicæ e binomio solido, cuius quadratorum differentia est numerus cubicus. Quale binomium semper invenitur in resolutione æquationum (e.5. et e.6.) [Translation: On the extraction of cube roots of a solid binome, in which the difference of the squares is a cube number. Which binomes are always found in the resolution of equations (e.5 and e.6). ] Solutio per coniugatum secundum methodum veterum Analystorum. Superioris secundum. [Translation: A solution by conjugates according to othe old analysts. The second above. ] e. De resolutione æquationum per reductionum [Translation: On the solution of equations by reduction. ] e.7. Aliter. casus. 1. [Translation: Another way. Case 1. ] e.1.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ] e.6. e.1.) De resolutione æquationum per reductione [Translation: On the solution of equations by reduction ]