**Archimedes**- Although there is no trigonometry in the works of Euclid and Archimedes, in the strict sense of the word, there are theorems presented in a geometric way (rather than a trigonometric way) that are equivalent to specific trigonometric laws or formulas. (wikipedia.org)
- Beginning from the theories of Euclid and Archimedes on the topic, he brought them to the state they were in just before the invention of analytic geometry. (wikipedia.org)

**Robert Simson**- H. Menge, in Euclidis opera omnia, vol. 6, Leipzig: Teubner, 1896 (Google Books, Wilbour Hall) English versions Translated by Robert Simson: 1821 edition, 1838 edition The Data of Euclid, trans. (wikipedia.org)
- William Trail (1812) Life and Writings of Robert Simson at Google Books Charles Hutton (1815) Mathematical and Philosophical Dictionary, volume II, p. 395-398 (online copy, p. 395, at Google Books) Robert Simson, The Elements of Euclid. (wikipedia.org)

**treatise**- The authorship of this treatise, ascribed to Euclid, is disputed. (wikipedia.org)

**Euclid's Elements**- He edited and arranged Euclid's Elements and wrote commentaries on works by Euclid and Ptolemy. (wikipedia.org)

**Elements**- It is known that Theon edited the Elements of Euclid. (wikipedia.org)
- Euclid's Elements. (tufts.edu)
- Euclid, Elements, BOOK XI. (tufts.edu)
- Euclid offered a proof published in his work Elements (Book IX, Proposition 20), which is paraphrased here. (wikipedia.org)

**Cleveland**- Acting approximately as a central point for the east side of the Greater Cleveland area, South Euclid is bordered by Cleveland, Cleveland Heights, University Heights, Beachwood, Lyndhurst, Richmond Heights, and Euclid. (wikipedia.org)
- Like Cleveland Heights to the west and University Heights to the south, South Euclid is racially integrated. (wikipedia.org)

**Commentary**- He is also the author of a commentary (or introduction) on the Data of Euclid, and a commentary on Theon's Little Commentary. (wikipedia.org)
- Of his commentaries, those which are extant are: Commentary on the Data of Euclid. (wikipedia.org)
- Commentary on the Optics of Euclid. (wikipedia.org)
- In his dealings with astronomy he was known to Marinus in his commentary on Euclid's Data containing quotes of Diodorus's opinions on the meaning of a term, Alexandria Analemma Euclid History of sundials Diodorus of Alexandria. (wikipedia.org)

**elementary**- The South Euclid-Lyndhurst City School District consists of: 3 elementary schools: Adrian, Rowland, and Sunview 1 upper elementary school (grades 4-6): Greenview 1 junior high school (Grades 7-8): Memorial 1 high school: Charles F. Brush. (wikipedia.org)

**Greek**- Data (Greek: Δεδομένα, Dedomena) is a work by Euclid. (wikipedia.org)
- Greek text Data, ed. (wikipedia.org)
- In 1797, Moses Cleaveland named the area east of the Cuyahoga River Euclid, after the Greek mathematician and "patron saint" of surveyors. (wikipedia.org)

**work**- This work, which contained only the first six and the eleventh and twelfth books, and to which, in its English version, he added the Data in 1762, was for long the standard text of Euclid in England. (wikipedia.org)
- The EUCLID OERs facilitate professional training for data practitioners, who aim to use Linked Data in their daily work. (videolectures.net)

**text**- from the text of Menge by George L. McDowell and Merle A. Sokolik, Baltimore: Union Square Press, 1993 (ISBN 0-9635924-1-6) The Medieval Latin Translation of the Data of Euclid, translated by Shuntaro Ito, Tokyo University Press, 1980 and Birkhauser, 1998. (wikipedia.org)

**astronomy**- The Infrared Processing and Analysis Center (IPAC) provides science operations, data management, data archives and community support for astronomy and planetary science missions. (wikipedia.org)

**Avenue**- The state highway and the two truck routes continue on Moore Street north to their concurrent termini at US 11 and US 19, which head west as Euclid Avenue and northeast as Lee Highway. (wikipedia.org)

**near**- 04247000 Oneida River near Euclid, NY, Water Data Report 2013" (PDF). (wikipedia.org)
- Two separate locations - one along Nine Mile Creek near present-day Quarry Park at South Belvoir and Monticello Boulevards, and the other along what is today part of the Euclid Creek reservation - were consolidated by Forest City Stone Company in the 1870s, creating one of the region's largest producers of the stone. (wikipedia.org)

**often**- Once initialized, data often requires manipulation in order to bring it into a form most suitable for use in a model or an application. (gams.com)
- Euclid is often erroneously reported to have proved this result by contradiction, beginning with the assumption that the finite set initially considered contains all prime numbers, or that it contains precisely the n smallest primes, rather than any arbitrary finite set of primes. (wikipedia.org)

**Book**- also The Book of Euclid's Data. (wikipedia.org)

**large**- By 1980, lacking large tracts of available land for development, and with a population shift to exurban communities, the population of South Euclid began to shrink. (wikipedia.org)
- This operation offers what may be thought of as simultaneous or parallel assignments and provides a concise way of specifying large amounts of data. (gams.com)

**parameter**- Statistics mainly teaches data collection and data processing method, including sampling methods, sampling distribution, parameter estimation, confidence intervals, hypothesis testing, analysis of variance and regression analysis. (case.edu)
- In this chapter we explicitly cover only parameter manipulation, including all aspects of data handling. (gams.com)

**District**- In 1828, Euclid Township was divided into nine districts, with South Euclid becoming district two. (wikipedia.org)
- School Data for the Hasbrouck Heights School District, National Center for Education Statistics. (wikipedia.org)

**Ohio**- South Euclid is a city in Cuyahoga County, Ohio, United States. (wikipedia.org)
- Euclid é uma cidade localizada no estado norte-americano do Ohio , no Condado de Cuyahoga . (wikipedia.org)

**Although**- He may also have edited some other works by Euclid and Ptolemy, although here the evidence is less certain. (wikipedia.org)

**order**- In 2014, NASA established the Euclid NASA Science Center at IPAC (ENSCI) in order to support US-based investigations using Euclid data. (wikipedia.org)