How to use Euclid in a sentence

Looking for sentences and phrases with the word Euclid? Here are some examples.

Sentence Examples We used to read the first book of Euclid, but regularly as we reached the dreadful pass we were turned back for a revisal. Euclid changed the proofs of several theorems in this book so that they fitted the new definition of proportion given by Eudoxus. Euclid made repeated use of axioms that he had not stated, without which his arguments are not logically valid. Using this theorem, Euclid can perform the old Pythagorean proof of Pythagoras' theorem correctly. His commentary to Euclid is of interest because of its discussion of unordered irrationals. Speculative geometry contains elementary geometry which is not all based on Euclid. The presentation took place at the mayor's parlour, in the Civic Offices, in Euclid Street. The work of both Aristaeus and Euclid on conics was, almost 200 years later, further developed by Apollonius. This theorem, also called the infinitude of primes theorem, was proved by Euclid in Proposition IX.20 of the Elements. So when Euclid described his geometry, many believed it to be the one true geometry. The unique parallel of Euclid is just a sophism in order to trap ignorant people. At the time when these papers were written he had received no instruction in mathematics beyond a few books of Euclid and the merest elements of algebra. Euclid also wrote Phaenomena which is an elementary introduction to mathematical astronomy and gives results on the times stars in certain positions will rise and set. As well as constructions to divide a line in the golden ratio, Euclid gives applications such as the construction of a regular pentagon, an icosahedron and a dodecahedron. Although the work is no longer extant, Euclid may have used it as a model for his Elements. Halley suggested to him that he might devote his considerable talents to the restoration of the work of the early Greek geometers, such as Euclid and Apollonius of Perga. The first six books contain most of what Euclid delivers about plane geometry. In other words, to put it into Euclid, or old-fashioned plane geometry, a straight line is not the shortest distance between two points. They show how Euclid did not fully carry out the project of developing geometry axiomatically. Combining simplicity with harmony, Tissot's Quadrato collection attracts attention with geometric shapes worthy of Euclid. Show More Sentences How could there be a seventh planet, when Euclid had proven that there were only five Platonic solids? A few years ago, a Bosnian family named Vidovic came to Euclid, Ohio, to escape persecution by Serbs in an embattled region. He discovered that the sum of the angles of a triangle are two right angles and, when his father found out, he relented and allowed Blaise a copy of Euclid. The straight line must be one of the earliest curves studied, but Euclid in his Elementsalthough he devotes much study to the straight line, does not consider it a curve. This is far from an end to the arguments about Euclid the mathematician. Moore wrote the sections on arithmetic, geometry, trigonometry and cosmography while the sections on algebra, Euclid and navigation were written by Perkins. Euclid wished to discover whether there existed a simple geometrical proportionality between the apparent size of equal and parallel lines and their distances from the eye. It is clear that geometers of the 4th century bc were well acquainted with this method, but Euclid provides only syntheses, never analyses, of the problems solved in the Elements. When Russell was eleven years old, his brother Frank introduced him to the work of Euclid, which transformed his life. The poet's mathematically inclined brother was named Mamertinus by the Suda but a scholiast in a commentary on Euclid named him Mamercus. The discoveries of several Greek mathematicians, including Pythagoras, Euclid, and Archimedes, are still used in mathematical teaching today. It also saw rise to new progress in geometry beyond those classical theories of Euclid, after a period of nearly two thousand years. The postulates of Euclid are profitably motivated by saying that they lead to a great wealth of geometric facts. Although Euclid solves more than 100 construction problems in the Elements, many more were posed whose solutions required more than just compass and straightedge. The probe mounts were dispatched to the Euclid Geometrics laboratory in Kitchener, Ontario, for microprobe analysis. The Internal Bisector Problem is extremely difficult to prove using the classical theorems of Euclid, though it can be done. Among the most important figures for me is also Euclid. Euclid has created an algorithm that has been given its name. And he is off, to mug up on Euclid, and on the Indian roots of algebra. The works of Euclid and Archimedes, lost in the West, were translated from Arabic to Latin in Spain. Show More Sentences For this reason, he was a major contributor to the study of the Standing Committee on Canadian Heritage on the status of the book industry in Canada and together with Euclid Herie sponsored the work of this Task Force. For instance, he uses Euclid and ideas that can be traced to Ptolemy in a well-known work on optics, On Perspectives, which is preserved only in Latin. Once the parallel postulate is introduced Euclid showed that opposite sides of a parallelogram are equal, and so the distance between a pair of parallel lines is a constant. At the age of eight, Mill began studying Latin, the works of Euclid, and algebra, and was appointed schoolmaster to the younger children of the family. Examples from Classical Literature In his work Euclid placed all of the leading propositions of plane geometry then known, and arranged them in a logical order. Euclid does not use the word regular, but he describes the polygons in question as equiangular and equilateral. Euclid the geometer, Aratus the astronomer, Ptolemy the cosmographer, add lustre to the golden age of Alexandrian culture. The true and the beautiful was never better demonstrated by Euclid through angle, square, or hypothenuse. Your cousin, Miss Euclid, would have done it, and marrier here was in the affair with her. Euclid introduced the subject by the proposition that, if alternate angles are equal, the lines are parallel. The farmers from Euclid and Newburgh came in with twenty-eight yoke of cattle. As it is, his poem has the faults we should look for in a metrical version of Euclid. To me these views appear as clear as crystal and as unanswerable as Euclid. He demonstrated the proposition of Euclid, and rejected the proposal of his friend. These two propositions are not given in Euclid, although generally required by American syllabi of the present time. This proposition was not given in Euclid, but it is usually required in American syllabi. It is not certain, for instance, whether Euclid meant that the circles could not cut at some other point than that of tangency. Euclid calls this solid henceforth a parallelepiped, though he never defines the word. Besides being a scientist, a geometer like Euclid and a mathematician, Pythagoras was a theologian, an aspect of his life that we rarely hear of. It simply has no more to do with theism than the first book of Euclid has. The dialogue is presented by Euclid, a Megarian, and the Megarians, Euclides and Eubulides, denied potential. Indeed, in the wild school of caricature then current, Mr Max Beerbohm had represented him as a proposition in the fourth book of Euclid. I do not ask him to reveal to me the demonstrations of Euclid. Was it not Africa that gave birth to Euclid, the master geometrician of the world? Show More Sentences These propositions are as demonstrable as any problem in Euclid. They took De Foe to their bosoms, instead of Euclid, and seemed to be on the whole more comforted by Goldsmith than by Cocker. Why, Euclid would have theorem'd it out for you at a glance at the trio. If he can, then is it as marvellous a thing in him, as if a man were able simultaneously to go through the demonstrations of two distinct problems in Euclid. But oh, Diana, tomorrow the geometry exam comes off and when I think of it it takes every bit of determination I possess to keep from opening my Euclid. You have attempted to tinge it with romanticism, which produces much the same effect as if you worked a love-story or an elopement into the fifth proposition of Euclid. Furthermore, it is admitted that never, never, in a million lifetimes, could Michael have demonstrated a proposition in Euclid or solved a quadratic equation. Find more words! Another word for Opposite of Meaning of Rhymes with Sentences with Find word forms Translate from English Translate to English Words With Friends Scrabble Crossword / Codeword Words starting with Words ending with Words containing exactly Words containing letters Pronounce Find conjugations Find names From Afrikaans From Albanian From Amharic From Arabic From Armenian From Azerbaijani From Basque From Belarusian From Bengali From Bosnian From Bulgarian From Catalan From Cebuano From Chichewa From Chinese From Corsican From Croatian From Czech From Danish From Dutch From Esperanto From Estonian From Farsi From Filipino From Finnish From French From Frisian From Galician From Georgian From German From Greek From Gujarati From Haitian Creole From Hausa From Hebrew From Hindi From Hmong From Hungarian From Icelandic From Igbo From Indonesian From Irish From Italian From Japanese From Javanese From Kannada From Kazakh From Khmer From Korean From Kurdish From Kyrgyz From Lao From Latin From Latvian From Lithuanian From Luxembourgish From Macedonian From Malagasy From Malay From Malayalam From Maltese From Maori From Marathi From Mongolian From Burmese From Nepali From Norwegian From Polish From Portuguese From Punjabi From Romanian From Russian From Samoan From Scots Gaelic From Serbian From Sesotho From Shona From Sinhala From Slovak From Slovenian From Somali From Spanish From Sundanese From Swahili From Swedish From Tajik From Tamil From Telugu From Thai From Turkish From Ukrainian From Urdu From Uzbek From Vietnamese From Welsh From Xhosa From Yiddish From Yoruba From Zulu To Afrikaans To Albanian To Amharic To Arabic To Armenian To Azerbaijani To Basque To Belarusian To Bengali To Bosnian To Bulgarian To Catalan To Cebuano To Chichewa To Chinese To Corsican To Croatian To Czech To Danish To Dutch To Esperanto To Estonian To Farsi To Filipino To Finnish To French To Frisian To Galician To Georgian To German To Greek To Gujarati To Haitian Creole To Hausa To Hebrew To Hindi To Hmong To Hungarian To Icelandic To Igbo To Indonesian To Irish To Italian To Japanese To Javanese To Kannada To Kazakh To Khmer To Korean To Kurdish To Kyrgyz To Lao To Latin To Latvian To Lithuanian To Luxembourgish To Macedonian To Malagasy To Malay To Malayalam To Maltese To Maori To Marathi To Mongolian To Burmese To Nepali To Norwegian To Polish To Portuguese To Punjabi To Romanian To Russian To Samoan To Scots Gaelic To Serbian To Sesotho To Shona To Sinhala To Slovak To Slovenian To Somali To Spanish To Sundanese To Swahili To Swedish To Tajik To Tamil To Telugu To Thai To Turkish To Ukrainian To Urdu To Uzbek To Vietnamese To Welsh To Xhosa To Yiddish To Yoruba To Zulu English French Afrikaans Word Albanian Word Arabic Word Bengali Word Chinese Word Croatian Word Czech Word Danish Word Dutch Word English Word Finnish Word French Word German Word Greek Word Hindi Word Hungarian Word Icelandic Word Indonesian Word Italian Word Japanese Word Korean Word Latin Word Malay Word Malayalam Word Marathi Word Nepali Word Norwegian Word Polish Word Portuguese Word Romanian Word Russian Word Serbian Word Slovak Word Spanish Word Swahili Word Swedish Word Tamil Word Telugu Word Thai Word Turkish Word Ukrainian Word Uzbek Word Vietnamese Word Welsh Word All words 2-letter words 3-letter words 4-letter words 5-letter words 6-letter words 7-letter words 8-letter words 9-letter words 10-letter words 11-letter words 12-letter words 13-letter words 14-letter words Plural of Singular of Past tense of Present tense of Verb for Adjective for Adverb for Noun for Meaning of name Origin of name Names meaning Names starting with Names of origin Euclid Use * for blank tiles (max 2) Advanced Search Advanced Search Use * for blank spaces Advanced Search Advanced Word Finder See Also Words that rhyme with Euclid Use our Sentence Generator Nearby Words euchromatin euchromatic euchred euchre euchologion euchlorine euclidean Euclidean eucrites eucryphia eudaemonia eudaemonism