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Llana [10]
1 year ago
10

Hilbert axioms changed Euclids geometry by

Mathematics
1 answer:
Lunna [17]1 year ago
7 0

Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms

<h3>What was Hilbert's Axiom?</h3>

These were the sets of axioms that were proposed by the man David Hilbert in the 1899. They are a set of 20 assumptions that he made. He made these assumptions as a treatment to the geometry of Euclid.

These helped to create a form of formalistic foundation in the field of mathematics. They are regarded as his axiom of completeness.

Hilbert’s axioms are divided into 5 distinct groups.  He named the first two of his axioms to be the axioms of incidence and the axioms of completeness. His third axiom is what he called the axiom of congruence  for line segments. The forth and the fifth are the axioms of congruence for angles respectively.

Hence we can conclude by saying that Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms.

Read more on Euclid's geometry here: brainly.com/question/1833716

#SPJ1

complete question

Hilbert’s axiom’s changed Euclid’s geometry by _____.

1 disproving Euclid’s postulates

2 utilizing 3-dimensional geometry instead of 2-dimensional geometry

3 describing the relationships of shapes

4 identifying and explaining the concept of undefined terms

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The <em>correct answer</em> is:


Her number is 7.


Explanation:


Let x represent her number.


She triples her number; this is represented by 3x.


She then adds 5 to this; this gives us 3x+5.


She gets 26 aas her answer. This gives us the equation:

3x+5 = 26


To solve this, first subtract 5 from each side:


3x+5-5 = 26-5

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Divide each side by 3:

3x/3 = 21/3

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Veronika [31]

Answer:

\textbf{y = 9x + 21 }\\

Step-by-step explanation:

\textup{Given equation is: $4x + 36y = 80  $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\

\textup{Then the slope of the line perpendicular to this line would be \textbf{negative reciprocal of m}.}\\$i.e.,$ \textup{Slope of the perpendicular line would be $m_1 = \frac{-1}{\frac{-1}{9}}$}\\$\implies m_1 = 9$\\

\textup{The perpendicular line passes through the point $(3,6)$}\\\textup{Using the \textbf{point-slope formula}, we get:}\\

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