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| {{Notice|This article has been translated from the French at http://fr.wikipedia.org/wiki/Algèbre_nouvelle. The original translation, while substantially good, needed some clean up. Some work has been done to improve the translation, but please make further improvements if you have the necessary knowledge.}}
| | They are typically a free website that are pre-designed for enabling businesses of every size in marking the presence on the internet and allows them in showcasing the product services and range through images, contents and various other elements. Good luck on continue learning how to make a wordpress website. PSD files are incompatible to browsers and are suppose to be converted into wordpress compatible files so that it opens up in browser. If you need a special plugin for your website , there are thousands of plugins that can be used to meet those needs. By using this method one can see whether the theme has the potential to become popular or not and is their any scope of improvement in the theme. <br><br>Choosing what kind of links you'll be using is a ctitical aspect of any linkwheel strategy, especially since there are several different types of links that are assessed by search engines. But as expected the level of support you get with them can be hit or miss based on the developer's free time and desire. With the free Word - Press blog, you have the liberty to come up with your own personalized domain name. Apart from these, you are also required to give some backlinks on other sites as well. You can also get a free keyword tool that is to determine how strong other competing sites are and number of the searches on the most popular search sites. <br><br>ve labored so hard to publish and put up on their website. When a business benefits from its own domain name and a tailor-made blog, the odds of ranking higher in the search engines and being visible to a greater number of people is more likely. Possibly the most downloaded Word - Press plugin, the Google XML Sitemaps plugin but not only automatically creates a site map linking to everyone your pages and posts, it also notifies Google, Bing, Yahoo, and Ask. Nonetheless, with stylish Facebook themes obtainable on the Globe Broad Internet, half of your enterprise is done previously. Websites using this content based strategy are always given top scores by Google. <br><br>The next thing I did after installing Wordpress was to find myself a free good-looking Wordpress-theme offering the functionality I was after. Find more information about Design To Wordpress here. Next you'll go by way of to your simple Word - Press site. A whole lot worse, your site will likely be useless as well as your merchandise won't sell if no one has the endurance to wait for the web pages to load. Word - Press offers constant updated services and products, that too, absolutely free of cost. <br><br>You will know which of your Word - Press blog posts are attracting more unique visitors which in turn will help you develop better products and services for your customers. In fact portfolio Word - Press themes is a smooth and attractive but considerably flawed Word - Press theme in creating simpler to the photographers or designers to develop a specific internet site showcasing their most current perform since it appear modern-day and has fantastic typography and large photographs which would develop an attractive wanting portfolio internet site. Word - Press can also be quickly extended however improvement API is not as potent as Joomla's. Here is more information on [http://ammi.me/wordpress_backup_673917 backup plugin] stop by our web site. Web developers and newbies alike will have the ability to extend your web site and fit other incredible functions with out having to spend more. Verify whether your company has a team of developers or programmers having hands-on experience and knowledge about all Word - Press concepts. |
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| The '''new algebra''' or '''symbolic analysis''' is a formalization of [[algebra]] promoted by [[François Viète]] in 1591 and by his successors (after 1603). It marks the beginning of the algebraic formalization (late sixteenth – the early seventeenth centuries).
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| ==The Isagoge==
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| ''In artem analyticem Isagoge'' (1591) is the program of this large axiomatic project.
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| This work is available via gallica,<ref>{{fr}} François Viète [http://gallica.bnf.fr/ark:/12148/bpt6k108865t.r=viète+1591.langFR In artem analyticem Isagoge, Meteyer publisher, in Tours, (1591) ]</ref> written in Latin, and announcing that it will be the first volume of a work divided into ten parts:
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| * In artem Analyticem Isagoge
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| * Ad Logiticem speciosam Nota priores
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| * Zeteticorum libri quinque
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| * De numerosa potestatum ad exegesim resolution
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| * De recognitione Aequationum
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| * Ad logiticem speciosam nota posteriores
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| * Effectionum geometricarum Canonica recensio
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| * Supllementum Geometria
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| * Analytica angularium sectionum in tres partes
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| * Varorium de rebus Mathematicis responsorum
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| It provides a new approach to writing algebra and begins with the famous dedication to the ''[[Melusine|Melusinide]]'' princess [[Catherine de Parthenay]].
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| ===Chapter I: Introduction===
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| In the first part of his ''Isagoge'', Viète provides definitions of his symbolic analysis, and gives, in a rhythmic movement, the definitions of Zetetic, Poristic, and Exegetic, for the purpose of writing the science of inventing Mathematics. He gives, concurrently, an axiomatic for calculation on the quantities (known and unknown) and a program, which provides heuristic rules.
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| * The Zetetic is the art of translating a problem into an equation and the art of handling this equation to put it in a canonical form which gives rise to an interpretation in terms of proportions.
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| * The Poristic is the examination of the truth (by the means of ordinary theorems).
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| * The Exegetic, is the determination (the exhibition, says Antoine Vasset), of geometric solution or numerical solution, obtained from the general propositions of the Poristic.
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| In this introduction, Viète requires three steps to solve algebraic or geometrical problems: formalization, general resolution, special resolution. He adds that, contrary to the former analysts, his method will act on the resolution of symbols (non iam in numeris sed sub specie)... which is the major input. He also predicts that after his works, training in Zetetic will be done through the analysis of symbols and not by the numbers.
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| ===Chapter II About symbols, equalities, and proportions===
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| Viète continues, in this second part, to describe the symbols and gives axiomatic rules:
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| * paragraphs 1 to 6 cover the properties of equality:
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| Transitivity of equality, conservation sum, subtraction, product, and division
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| * paragraphs 7 to 11 cover the properties of laws (addition, product, etc. with fractions).
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| * paragraphs 15 and 16 explain when fractions are equal or not.
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| ===Chapter III: Des lege homogeneorum===
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| Viète, then, continues to give the law of homogeneity, and distinguishes the symbols according to their powers, where 1 is the side (or root), 2 square, cube 3, and so on. Factors and powers are of complementary homogeneity; he notes them:
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| 1. Length, 2 Plane, Solid 3, and 4 Plane / Plane 5 Plane / Solid 6 Solid / Solid, etc. as if he had the intuition that a geometry can be deployed beyond the ordinary dimension 3.
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| ===Chapter IV De praeceptis logistices speciosae===
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| In this fourth chapter, Viète gives the rules of a calculus of symbols, i.e. the axioms of addition, product, etc. Symbols designate types of comparable dimension.
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| Firstly, his attention is focused on addition and subtraction of quantities of the same order, with rules such as ''A'' − (''B'' + ''D'') = ''A'' − ''B'' − ''D'' or ''A'' − (''B'' − ''D'') = ''A'' − ''B'' + ''D''
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| Then, secondly, he defines products and quotients of homogeneous quantities. He then notes
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| : <math>\frac{A \text{ plano}}{B} \text{ subducere } \frac {Z \text{ quadratum}}{G}\text{ residua erit }\frac {A \text{ planum in } G - Z \text{ quadrato in } B}{B\text{ in }G}</math>
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| what we note now
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| : <math>\frac{A }{B} - \frac {Z }{G} = \frac {A G - Z B}{B G}</math>
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| without attempting to mark the homogeneity factor.
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| ===Chapter V: Laws of the Zététic===
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| In this chapter we have the foundations of the formulation of equations and particularly in paragraph 5 of this chapter, the idea that '''some letters should be reserved for known quantities (data) and other letters to unknown quantities (incertitus)'''. Viète designates the first quantities by consonants and the others by vowels.
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| Then, after a few propositions, the book ends with two short chapters that describe how, in practice, it is necessary to conduct the analysis of a problem, its resolution and geometrical checking.
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| ===Chapter VI: The theorems of Poristic===
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| {{Empty section|date=January 2011}}
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| ===Chapter VII: About Rhétic (or Exegetic)===
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| {{Empty section|date=January 2011}}
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| In chapter 7, on the function of the rhetic art, Viete treats the third kind of analysis (rhetic or exegetic), which is applied to numbers if the search is for a magnitude expressible in a number, as well as to lengths, planes, or solids if the thing itself must be shown, starting from canonically ordered equations.
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| ===Chapter VIII: Epilogue===
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| In this final part Viète defines some notations, including the first and second roots (in other words square and cube roots).
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| ===Variations of 1631===
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| The manuscript published by Vasset doesn't contain the definition of Poristic and Exegetic (ch VI and VII), but some results on the development of the binomial (to level 6) and general theorems of Poristic: which way to insert a medium proportional you want between two lengths.
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| This means, for instance, that the sequence
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| : <math>A^6,A^5B,A^4B^2,A^3B^3,A^2B^4,AB^5,B^6\,</math>
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| is geometric.
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| Reflecting Viète, Vasset writes also:
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| {{quote|A − B cubus cubus aequabitur A cubo-cubus − 6 A quadrato-cubus in B + 15 A quad.quad. in B quad. − 20 A cubus in B cubum + 15A quadratum in B quad.-quad − 6 A B quad.-cub. + B cubus-cubus}}
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| which we denote now by:
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| : <math>(A-B)^6 = A^6-6A^5B+15A^4B^2-20A^3B^3+15A^2B^4-6AB^5+B^6.\,</math>
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| He then gave the rule for forming binomial coefficients (already known by Stiffel and Tartaglia), noting that he obtains the coefficients of the development, by addition in the development of the previous power, of the first and second coefficient, of the second and third, and so on.
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| {{Infobox scientist
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| |name = Francois Viete
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| |image = Francois Viete.jpg
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| |image_size =
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| |caption = Francois Viete, French mathematician
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| |birth_date = 1540
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| |birth_place = [[Fontenay-le-Comte]], [[Poitou]]
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| |death_date = 23 December 1603
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| |death_place = [[Paris, France|Paris]], France
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| |residence =
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| |citizenship =
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| |nationality =
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| |ethnicity =
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| |field = [[algebra]]
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| |work_institutions =
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| |alma_mater =
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| |doctoral_advisor =
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| |doctoral_students =
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| |known_for = first notation of new algebra
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| |author_abbrev_bot =
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| |author_abbrev_zoo =
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| |influences = [[Peter Ramus|Ramus]]
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| |influenced = [[Pierre de Fermat]]
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| |prizes =
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| |religion = unknown
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| |footnotes =
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| |signature =
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| }}
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| ==Zététic, Poristic and Exegetic==
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| {{Empty section|date=March 2013}}
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| ==The contributions of the new algebra==
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| ===Historical critics===
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| Viète made good Algebra with excellent geometry. However, in his desire to spend his new label under the Diophantine's aegis, Viète was taken to preserve the language of the elders. Moreover, he has no symbol to rate the multiplication, roots or equality.
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| For example
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| : <math>\frac{S\text{ in }A\text{ planum }+\text{ Rbis in }A\text{ planum}}{R} \text{ aequabitur }B\text{ plano}</math> | |
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| written today
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| : <math> \frac{S A+ 2RA}{R} = B. </math>
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| Although effective, this new algebra maintained a requirement of homogeneity which is very heavy and condemns the constant reference to the meaning of geometrical parameters involved. A second Algebraic revolution will be done in the next generation with [[William Oughtred]], [[Thomas Harriot]], [[Pierre de Fermat]], and finally [[René Descartes]]. Nevertheless, Viète gave us for the first time the ability to work efficiently on letters. And, for that, he must be honored as one of the fathers of Algebra.
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| ==See also==
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| *[[Johannes Hispalensis]]
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| *[[Jordanus Nemorarius]]
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| *[[Regiomontanus]]
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| *[[Michael Stifel]]
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| *[[Parthenay]]
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| *[[Marino Ghetaldi]]
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| *[[Alexander Anderson (mathematician)|Alexander Anderson]]
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| *[[Jean de Beaugrand]]
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| *[[François Viète]]
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| *[[Simon Stevin]]
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| *[[Thomas Harriot]]
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| *[[Pierre de Fermat]]
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| ==Sources==
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| ===References===
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| <references/>
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| [[Category:Algebra]]
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| {{Link GA|fr}}
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They are typically a free website that are pre-designed for enabling businesses of every size in marking the presence on the internet and allows them in showcasing the product services and range through images, contents and various other elements. Good luck on continue learning how to make a wordpress website. PSD files are incompatible to browsers and are suppose to be converted into wordpress compatible files so that it opens up in browser. If you need a special plugin for your website , there are thousands of plugins that can be used to meet those needs. By using this method one can see whether the theme has the potential to become popular or not and is their any scope of improvement in the theme.
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ve labored so hard to publish and put up on their website. When a business benefits from its own domain name and a tailor-made blog, the odds of ranking higher in the search engines and being visible to a greater number of people is more likely. Possibly the most downloaded Word - Press plugin, the Google XML Sitemaps plugin but not only automatically creates a site map linking to everyone your pages and posts, it also notifies Google, Bing, Yahoo, and Ask. Nonetheless, with stylish Facebook themes obtainable on the Globe Broad Internet, half of your enterprise is done previously. Websites using this content based strategy are always given top scores by Google.
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