Use euclid division algorithm to find HCF of 135 and 225?
225=135*1+110
135=110*1+25
110=25*4+10
25=10*2+5
10=5*2+0
so, the HCF of 135 and225 is 5.
Euclid the mathmatican is thought to have been born in Greece.
How did Euclid's contribution help the people?
Euclid's contributions, particularly through his work "Elements," laid the foundational principles of geometry, which have been crucial in various fields such as mathematics, physics, engineering, and architecture. His systematic approach to proving geometric propositions introduced rigorous logical reasoning and deductive methods, influencing not only mathematics but also the way people approach problem-solving in various disciplines. By providing a clear framework for understanding shapes, angles, and the relationships between them, Euclid's work has had lasting impacts on education and scientific thought, shaping the way we understand and interact with the world around us.
What has been the impact of euclid work?
Euclid is best known for his work titled Elements, a thirteen-volume textbook on the principles of mathematics. They include treatises on plane geometry (a branch of geometry dealing with plane figures), proportion (the relationship among parts), Astronomy (the study of stars, planets, and heavenly bodies), and music. Although no one knows if all of the work in Elements was Euclid's or if he compiled the mathematical knowledge of his colleagues, the work formed an important part of mathematics for 2,000 years. It constituted the simplest of all geometry definitions, theorems and axioms which could be understood by all. Although the definitions, axioms and theorems were very easy, they were very important for the daily use of mathematics.
What is the title of book thirteen of Elucids elements?
Euclid's Elements is a set of thirteen mini-books and sometimes found as one whole book. The thirteenth book it titled Regular Solids.
Euclid is famous because he was a great geometrist. Today, his style of geometry is called Euclidean Geometry. I do it at school sometimes because my teacher absolutely adores it and so do I :)
What is the contribution of euclid in the field of mathematics?
Euclid is given the honor of being the Father of Geometry. In his book, 'The Elements', Euclid defines the concept of points, lines and planes and together with postulates and theorems develops the subject known as geometry. This occurred in around 300 BCE.
Edward Irving Wortis is the author who writes under the pen name Avi. Avi who was born in 1937 has written over fifty books.
Little is known about Euclid's death, but most people are sure that he lived from 325 B.C. and died in 265 B.C.
Euclid is thought to have been born in Greece and educated in Athens.
What first appeared at the corner of Euclid Avenue East 105th Street Cleveland on August 5 1914?
The traffic light
Can you find the HCF of 3 numbers using euclids division lemma?
Yes.
First find the HCF of two of the numbers, then find the HCF of that answer and the third number.
In this way you could find the HCF of as many numbers as you want.
What advantage did the soldiers in Philip 2 have?
they had elements from Persia until Philip the 2 came.
What is the difference between molecular geometry and electronic geometry?
The molecular geometry and electronic structure of styrene and methyl methacrylate as well as corresponding radicals formed by the addition of a methyl radical to the -carbon of the monomer were determined using the density functional theory at the B3LYP/6-311+G** level. Results were in good agreement with the theoretical and experimental data available in the literature. Full optimized molecular geometry of methyl methacrylate showed the trans form of the molecule. Monomers transformed into corresponding radicals preserved the main structural parameters of substituents whereas bonds between substituents and adjacent radical carbon atoms shortened. It was found that the correlation of the theoretically calculated electronic parameters for monomers and the corresponding radicals with the Q and e parameters from the Alfrey-Price scheme strongly depends on the level of calculations. Application of the higher level of theory including the correlation effect changes the relationship discussed in the literature between energy (EY) of formation of a radical from the monomer, the experimental e parameter, and the Q parameter and monomer/average electronegativity, respectively. The total atomic spin density at the radical carbon atom correlated with the radical parameter P in the Alfrey-Price scheme was computed to be higher for the methoxycarbonyl-1-methyl-ethyl radical when compared with the 1-phenyl-propyl radical. These values are in good agreement with the localization energies and the P values determined from the kinetic measurements for macroradicals ending with styrene and methyl methacrylate monomer units. © 2001 John Wiley & Sons, Inc. J Polym Sci Part A: Polym Chem 39: 3761-3769, 2001
Does Euclid's fifth postulate imply the existence of parallel lines?
Yes.
According to Euclid's 5th postulate, when n line falls on l and m and if
, producing line l and m further will meet in the side of ∠1 and ∠2 which is less than
If
The lines l and m neither meet at the side of ∠1 and ∠2 nor at the side of ∠3 and ∠4. This means that the lines l and m will never intersect each other. Therefore, it can be said that the lines are parallel.