Manuela+and+Paulina+L.





Rene Descartes media type="youtube" key="cGd6lkgske8?fs=1" height="346" width="432" align="center"

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 * ==== I chose this video because it is a very important discovery Rene Descartes made in the history of mathematics. ====

media type="youtube" key="tL6FEx2Yeh8?fs=1" height="346" width="432" align="center"

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 * ==== I chose this video because it is based on the philosphies of Rene Descartes. ====

Contributions to the modern day : Paulina Lardizabal


[|http://www.google.hn/imgres?imgurl=http://xs539.xs.to/xs539/09192/m250.jpeg&imgrefurl=http://warezforum.info/ebooks-tutorials/261107-geometry-rene-descartes-rene-descartes.html&usg=wOOnwIMKZB16jHXtG7V7H0kqOso=&h=300&w=300&sz=20&hl=es&start=0&tbnid=9DLhaUlxPohjoM:&tbnh=128&tbnw=114&prev=/images%3Fq%3Ddescartes%2Banalytic%2Bgeometry%26um%3D1%26hl%3Des%26sa%3DN%26biw%3D1150%26bih%3D584%26tbs%3Disch:10%2C125&um=1&itbs=1&iact=rc&dur=732&ei=-ZpoTLPUDIT78Abz9rSzBA&oei=45poTKu_K8T48Abmst2tBA&esq=11&page=1&ndsp=19&ved=1t:429,r:10,s:0&tx=86&ty=102&biw=1150&bih=584//]
 * Rene' Descartes is one of the most important mathematicians, physicists, philosophers and writers.
 * On 1647 he discovered analytical geometry. What came to be extremely important now a days. If it wasn't for Descartes Newton would had never discovered the concept that led to calculus. Analytic geometry is based on coordinate systems. Its used to find distances, midpoints, equations, and many other things using exceptional equations and algebra (Cartesian coordinates).

http://en.wikipedia.org/wiki/René_Descartes []

[|http://www.google.hn/imgres?imgurl=https:mast.wikispaces.com/file/view/Scientific_Method_pic.gif/35136191/Scientific_Method_pic.gif&imgrefurl=https://mast.wikispaces.com/Scientific%2BMethod&usg=s-ijBEScavXtVgjsjQE_sUrDqk0=&h=348&w=362&sz=16&hl=es&start=0&tbnid=0tCD1dZBQbnH_M:&tbnh=133&tbnw=138&prev=/images%3Fq%3Dscientific%2Bmethod%26um%3D1%26hl%3Des%26sa%3DN%26biw%3D1150%26bih%3D584%26tbs%3Disch:1&um=1&itbs=1&iact=hc&vpx=124&vpy=100&dur=54&hovh=220&hovw=229&tx=129&ty=169&ei=jLJoTOyMH4GC8gbv6sitBA&oei=jLJoTOyMH4GC8gbv6sitBA&esq=1&page=1&ndsp=21&ved=1t:429,r:0,s:0//]
 * Descartes is considered to be the branch to the scientific method because of: __Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences__. As a response to clarify the doubt he saw in the world of science and to achieve certainty through deductive reasoning.

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 * Rene Descartes is considered the FISRT MODERN PHILOSOPHER; "The Father"; who doubted everything and stated that the only thing a person had was himself as a whole.



[|http://www.google.hn/imgres?imgurl=http:centros5.pntic.mec.es/sierrami/dematesna/demates89/opciones/sabias/Descartes/Descartes17.jpg&imgrefurl=http://centros5.pntic.mec.es/sierrami/dematesna/demates89/opciones/sabias/Descartes/Descartes.htm&usg=QRpYC47z2oFC1vUhJzZXu1coDys=&h=555&w=948&sz=157&hl=es&start=21&tbnid=i4mC5DirpqmWbM:&tbnh=132&tbnw=186&prev=/images%3Fq%3Ddescartes%26um%3D1%26hl%3Des%26sa%3DN%26biw%3D1150%26bih%3D584%26tbs%3Disch:10%2C521&um=1&itbs=1&iact=hc&vpx=104&vpy=215&dur=274&hovh=172&hovw=294&tx=135&ty=66&ei=kbZoTPjdD4P58AbUrt23BA&oei=-rVoTJqNGoH78AbO07itBA&esq=3&page=2&ndsp=21&ved=1t:429,r:7,s:21&biw=1150&bih=584//]
 * Rene Descartes was the most important men and figure in the 17th century.
 * Takes a crucial role in world history.
 * Started the Age of Reason or the Age of Rationalism.



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 * Descartes formed the bases of philosophy which efficiently worked later on when employed by for those who would came after him.
 * Didn't believe on his own existence; he wanted to prove reality through inquiry.

**4/5 ** || Covers topic in-depth with details and examples. Subject knowledge is excellent. || Includes essential knowledge about the topic. Subject knowledge appears to be good. || Includes essential information about the topic but there are 1-2 factual errors. || Content is minimal, OR there are several factual errors. || **5/5 **  || Makes excellent use of font, color, graphics, effects, etc. to enhance the presentation. || Makes good use of font, color, graphics, effects, etc. to enhance to presentation. || Makes use of font, color, graphics, effects, etc. but occasionally these detract from the presentation content. || Makes use of font, color, graphics, effects, etc. but these often distract from the presentation content. || **4/5 **  || All contributions are completed by the student. If outside sources were used they were properly cited. || Some contributions are completed by the student. If outside sources were used some were properly cited. || Few contributions are completed by the student. If outside sources were used few were properly cited. || No contributions are completed by the student. If outside sources were used none were properly cited. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5 **  || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">All information is correct. All sources are properly linked to. Sources are authoritative. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Less than 3 areas information are wrong. Some sources do not have working links. Some sources are not authoritative. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Less than 6 sources are not linked to or contain inaccurate information, or are from sources that are not authoritative. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">All sources are not linked or contain inaccurate information, from sources that are not authoritative. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5 **  || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">All contributions are present, and all were submitted on time. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Missing one contribution are present, and all were submitted on time. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Missing two contributions are present, and all were submitted on time. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Missing three contributions are present, and all were submitted on time. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">5/5 **  || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Postings are free of spelling, grammar, punctuation errors. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Postings have less than 2 spelling, grammar, and punctuation errors. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Postings have less than 4 spelling, grammar, and punctuation errors. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Postings have less than 6 spelling, grammar, and punctuation errors. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">26/30 ** || || || || ||
 * Valentina || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">5 **  ||  **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">4 **  ||  **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">3 **  ||  **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">1 **  ||
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Content **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Attractiveness **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Originality **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Accuracy **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Completeness **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Mechanics **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">TOTAL **

** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5 **  ||  <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Covers topic in-depth with details and examples. Subject knowledge is excellent. || <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Includes essential knowledge about the topic. Subject knowledge appears to be good. || <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Includes essential information about the topic but there are 1-2 factual errors. || <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Content is minimal, OR there are several factual errors. || ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">5/5  **  ||  <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Makes excellent use of font, color, graphics, effects, etc. to enhance the presentation. || <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Makes good use of font, color, graphics, effects, etc. to enhance to presentation. || <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Makes use of font, color, graphics, effects, etc. but occasionally these detract from the presentation content. || <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Makes use of font, color, graphics, effects, etc. but these often distract from the presentation content. || ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5  **  ||  <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">All contributions are completed by the student. If outside sources were used they were properly cited. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Some contributions are completed by the student. If outside sources were used some were properly cited. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Few contributions are completed by the student. If outside sources were used few were properly cited. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">No contributions are completed by the student. If outside sources were used none were properly cited. || ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5  **  ||  <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">All information is correct. All sources are properly linked to. Sources are authoritative. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Less than 3 areas information are wrong. Some sources do not have working links. Some sources are not authoritative. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Less than 6 sources are not linked to or contain inaccurate information, or are from sources that are not authoritative. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">All sources are not linked or contain inaccurate information, from sources that are not authoritative. <span style="font-family: 'Cambria','serif'; font-size: 8pt;">  || ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5 **  ||  <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">All contributions are present, and all were submitted on time. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Missing one contribution are present, and all were submitted on time. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Missing two contributions are present, and all were submitted on time. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Missing three contributions are present, and all were submitted on time. <span style="font-family: 'Cambria','serif'; font-size: 8pt;">  || ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">5/5 **  ||  <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Postings are free of spelling, grammar, punctuation errors. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Postings have less than 2 spelling, grammar, and punctuation errors. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Postings have less than 4 spelling, grammar, and punctuation errors. || <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">Postings have less than 6 spelling, grammar, and punctuation errors. || <span style="font-family: 'Cambria','serif'; font-size: 8pt;"> ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">26/30 ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">  ||  <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">   ||  <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">   ||  <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">   ||  <span style="color: black; font-family: 'Cambria','serif'; font-size: 8pt;">   ||
 * ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Manuela **  ||  ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">5  **  ||  ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">4  **  ||  ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">3  **  ||  ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">1  **  ||
 * ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Content **
 * ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Attractiveness **
 * ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Originality **
 * ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Accuracy **
 * ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Completeness **
 * ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">Mechanics **
 * ** <span style="font-family: 'Cambria','serif'; font-size: 8pt;">TOTAL  **

**<span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5 ** || <span style="display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Covers topic in-depth with details and examples. Subject knowledge is excellent. || <span style="display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Includes essential knowledge about the topic. Subject knowledge appears to be good. || <span style="display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Includes essential information about the topic but there are 1-2 factual errors. || <span style="display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Content is minimal, OR there are several factual errors. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">5/5 **  || <span style="display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Makes excellent use of font, color, graphics, effects, etc. to enhance the presentation. || <span style="display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Makes good use of font, color, graphics, effects, etc. to enhance to presentation. || <span style="display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Makes use of font, color, graphics, effects, etc. but occasionally these detract from the presentation content. || <span style="display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Makes use of font, color, graphics, effects, etc. but these often distract from the presentation content. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5 **  || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">All contributions are completed by the student. If outside sources were used they were properly cited. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Some contributions are completed by the student. If outside sources were used some were properly cited. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Few contributions are completed by the student. If outside sources were used few were properly cited. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">No contributions are completed by the student. If outside sources were used none were properly cited. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5 **  || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">All information is correct. All sources are properly linked to. Sources are authoritative. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Less than 3 areas information are wrong. Some sources do not have working links. Some sources are not authoritative. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Less than 6 sources are not linked to or contain inaccurate information, or are from sources that are not authoritative. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">All sources are not linked or contain inaccurate information, from sources that are not authoritative. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">4/5 **  || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">All contributions are present, and all were submitted on time. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Missing one contribution are present, and all were submitted on time. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Missing two contributions are present, and all were submitted on time. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Missing three contributions are present, and all were submitted on time. || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">5/5 **  || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Postings are free of spelling, grammar, punctuation errors. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Postings have less than 2 spelling, grammar, and punctuation errors. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Postings have less than 4 spelling, grammar, and punctuation errors. || <span style="color: black; display: block; font-family: 'Cambria','serif'; font-size: 8pt; text-align: center;">Postings have less than 6 spelling, grammar, and punctuation errors. ||
 * Paulina L || **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">5 **  ||  **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">4 **  ||  **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">3 **  ||  **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">1 **  ||
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Content **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Attractiveness **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Originality **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Accuracy **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Completeness **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">Mechanics **
 * **<span style="font-family: 'Cambria','serif'; font-size: 8pt;">TOTAL **

**<span style="font-family: 'Cambria','serif'; font-size: 8pt;">26/30 ** ||   ||   ||   ||   ||