Of Pappus's commentary on Ptolemy's Almagest Ⓣ(The major thesis: from the Arabic 'al-majisti' -- the Arabic translation of the Greek 'Mathematike Syntaxis' later translated into Latin as 'Magna Syntaxis') only the part on Books 5 and 6 has survived. (github.io)
Very rare editio princeps of this important text by Euclid, his only work in pure geometry, other than the Elements , to have survived in Greek. (sophiararebooks.com)
The relative obscurity of the Data , compared to the Elements , might be explained by the evolution of Greek mathematics, which in its early stages focused on the solution of special problems, but later concentrated more on the systematic arrangement of theorems. (sophiararebooks.com)
The sacred writings excepted, no Greek has been so much read and so variously translated as Euclid. (gresham.ac.uk)
First, there are no extant primary sources for Greek mathematics, so we have to rely entirely on commentaries and on later versions. (gresham.ac.uk)
Euclid, the Greek mathematician who wrote the geometry text used for centuries, stated many of his theorems in terms of constructions. (themathdoctors.org)
Mathematician1
Theon was the father of the mathematician Hypatia, who succeeded him as head of his school Theon dedicated his commentary on the Almagest to a boy named Epiphanius, who may have been his son. (wikipedia.org)
Geometry2
There are many websites with information on Euclid and geometry. (du.edu)
As the homeland to the likes of Euclid and Archimedes, the civilization has long been acknowledged for its invaluable involvement in the idea of formal proof in geometry, as well as number theory and combinatorics. (nhsjs.com)
Proclus4
Proclus, in his own commentary on the Elements refers three times to Pappus's commentary and Eutocius also refers to Pappus's commentary. (github.io)
It is here accompanied by a commentary, or rather an introduction, by Marinus of Naples (5th century AD), the pupil and biographer of Proclus. (sophiararebooks.com)
Proclus was a commentator from the fourth century AD who derived much of his material from earlier commentaries, now lost, by Eudemus of Rhodes, a student of Aristotle in the fourth century BC. (gresham.ac.uk)
But Proclus lived some 800 years after Euclid. (gresham.ac.uk)
Thirteen books2
Originally a commentary on all thirteen books of Ptolemy's Almagest, but now missing book 11 and most of book 5. (wikipedia.org)
The thirteen books of Euclid must have been a tremendous advance, probably even greater than that contained in the Principia of Newton. (gresham.ac.uk)
Mathematics3
Mathematics, as what is taught in schools is wrongly called, is not calculation but an exercise in reason, and Euclid does it with words. (du.edu)
Today, in the immortal words of Casablanca, here's looking at Euclid author of the Elements, the best-selling mathematics book of all time, having been used for more than 2000 years indeed, it is quite possibly the most printed book ever, apart than the Bible. (gresham.ac.uk)
If you want to know what mathematics is, just look at Euclid's Elements. (gresham.ac.uk)
Latin2
its Latin form 'data' remained in the title in modern times. (sophiararebooks.com)
A great amount of scholarship has been devoted to Euclid, mainly in Latin or German, and this course may expose some of it to a larger audience, to whom it has been largely inaccessible. (du.edu)
Ptolemy's Almagest1
He wrote commentaries on Euclid's Elements and Ptolemy's Almagest . (github.io)
Survives1
We also have translations and commentaries by Islamic scholars, which are most useful but the fact remains that the earliest copy of Euclid's Elements that survives is an Arabic translation in the Bodleian Library, dating from the year 888. (gresham.ac.uk)
Arabic1
Part of Pappus's commentary may exist in an Arabic translation, namely that on Book X of the Elements. (github.io)
Avenue2
Chicago Heights is getting $478,000 in grant money from Cook County to repair a section of Euclid Avenue north of 26th Street. (chicagotribune.com)
Chicago Heights will receive $478,000 for reconstruction of a section of Euclid Avenue, north of 26th Street to the Canadian National Railway tracks, that has severely deteriorated, according to the city. (chicagotribune.com)
Translation1
The best modern translation and commentary on Euclid is the work by T. L. Heath, Euclid's Elements , 2nd ed., 3 vols. (du.edu)
Translations1
Includes editions and translations of Euclid's Elements , Data , and Optica , Proclus's Commentary on Euclid , and other historical sources. (wikipedia.org)
Elements6
He edited and arranged Euclid's Elements and wrote commentaries on works by Euclid and Ptolemy. (wikipedia.org)
It is known that Theon edited the Elements of Euclid. (wikipedia.org)
Other commentaries which Pappus wrote include one on Euclid's Elements. (github.io)
The Data … is closely connected with books I-VI of the Elements . (sophiararebooks.com)
The analysis used a kind of shorthand, codified largely in Euclid's Data , for finding the constructible ('given') elements in the figure. (sophiararebooks.com)
It is certain that from its completeness, uniformity and faultlessness, from its arrangement and progressive character, and from the universal adoption of the completest and best line of argument, Euclid's Elements stand preëminently at the head of all human productions. (gresham.ac.uk)
Euclid's1
Marinus claims that Pappus also wrote a commentary on Euclid's Data of which nothing has survived. (github.io)
Books2
We cannot be certain that Pappus wrote a commentary which extended to the whole 13 books, but it seems highly probable that he did. (github.io)
For download Inorganic Chemistry, there call all concepts of data I say not Loose Power, preview, books, traditions, and permanently even, without agreeing down determined broadly conducted to these Committees. (wirtz-house.de)
Work2
This commentary seems to be of much poorer quality to Pappus's geometrical work. (github.io)
However, the commentary is very different in style to that of the Mathematical Collection and if indeed Pappus is the author it is a commentary which fails to show the depth of understanding that he shows in other parts of his work. (github.io)
Pappus2
The commentary is a reworking of Theon's own lecture notes, and is useful chiefly for including information from lost works by writers such as Pappus. (wikipedia.org)
A clue to the purpose of the Data is given by its inclusion in what Pappus calls the Treasury of Analysis [or Collection ] … The Data is a collection of hints on analysis" ( DSB ). (sophiararebooks.com)
Read1
You may want to have at the problems first before you read my solutions and commentary on how I used Polya's techniques to find them. (godofthemachine.com)
Content1
In its commentary to the 2020 regulations at page 30254, the U.S. Department of Education noted that this prohibition does not forbid training on content that references evidence-based information or peer-reviewed scientific research into sexual violence dynamics, including the impact of trauma on sexual assault victims. (bricker.com)
Website2
The contents of this website reflect the views of Euclid Network and the European Commission is not responsible for any use that may be made of the information this site contains. (euclidnetwork.eu)
This website stores data such as cookies to enable essential site functionality, as well as marketing, personalization, and analytics. (chicagotribune.com)
News2
Get The Best Industry News, Data, Insider Commentary And More, Delivered Right To Your Inbox. (celebrityaccess.com)
Every week you can find a new edition of #FreeSpeech in the News - a collection of related stories, commentary, and opinions on free speech in the 21st century that's making the news. (cityclub.org)
Greater1
This series seems no longer to be published, which is a pity, and it is a greater pity that Euclid is not easily available to the intelligent. (du.edu)
System1
Nordstrom discontinued using one mobile phone tracking system, produced by Euclid Analytics , after shoppers complained. (xyrm.com)
Interactive1
Euclid was among the sponsors, along with WirelessWerx , Mexia Interactive and ShopperTrak . (xyrm.com)
Collection1
Take the the observation and data collection techniques used by online retailers that are now moving into the physical world. (xyrm.com)
Location1
However, collecting and analyzing the data to strategically guide location decisions beyond time, risk, and money has historically required an experienced data analyst and thousands of dollars for each location. (cityclub.org)
Edition1
Also, in his commentary on the Almagest he states that his daughter Hypatia contributed to Book III of the Almagest stating "the edition having been prepared by the philosopher, my daughter Hypatia. (wikipedia.org)
Times1
â People became used to Web analytics,â Mr. Smith said, â Amazonâ s customer experience is 10 times better because of the data it gathers on people. (xyrm.com)
Head1
But the data gathered by the company, which Mr. Smith founded with the former head of Google Analytics, can be used to determine things like whether a Starbucksâ customer with a loyalty card stays longer at the coffee shop, or how often a store is acquiring repeat shoppers. (xyrm.com)
Credit1
If Greece exits its third bailout in August as planned, Finance Minister Euclid Tsakalotos will deserve much of the credit. (politico.eu)
Partnership1
Euclid Network receives EU funding through a framework partnership agreement 2022-2026 within the ESF+ programme. (euclidnetwork.eu)