Crossword Solver > found answer > DOUBLI

Welcome to Anagrammer Crossword Genius! Keep reading below to see if doubli is an answer to any crossword puzzle or word game (Scrabble, Words With Friends etc). Scroll down to see all the info we have compiled on doubli.

CROSSWORD
ANSWER

DOUBLI

Searching in Crosswords ...

The answer DOUBLI has 0 possible clue(s) in existing crosswords.

Searching in Word Games ...

The word DOUBLI is NOT valid in any word game. (Sorry, you cannot play DOUBLI in Scrabble, Words With Friends etc)

Searching in Dictionaries ...

Definitions of doubli in various dictionaries:

DOUBLI - Doubling the cube, also known as the Delian problem, is an ancient geometric problem. Given the edge of a cube, the problem requires the construction...

Word Research / Anagrams and more ...

check DOUBLI in all word games (32 answers)
unscramble DOUBLI (33 answers)
anagrams of DOUBLI (7 answers)
words containing DOUBLI (3 answers)
words starting with DOUBLI (1 answers)
words ending with DOUBLI (0 answers)
synonyms of DOUBLI (0 answers)
antonyms of DOUBLI (0 answers)

Keep reading for additional results and analysis below.

Doubli might refer to
Doubling the cube, also known as the Delian problem, is an ancient geometric problem. Given the edge of a cube, the problem requires the construction of the edge of a second cube whose volume is double that of the first. As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to be impossible using only a compass and straightedge, but even in ancient times solutions were known that employed other tools. * The Egyptians, Indians, and particularly the Greeks were aware of the problem and made many futile attempts at solving what they saw as an obstinate but soluble problem. However, the nonexistence of a solution was finally proven by Pierre Wantzel in 1837. * In algebraic terms, doubling a unit cube requires the construction of a line segment of length x, where x3 = 2; in other words, x = 3√2. This is because a cube of side length 1 has a volume of 13 = 1, and a cube of twice that volume (a volume of 2) has a side length of the cube root of 2. The impossibility of doubling the cube is therefore equivalent to the statement that 3√2 is not a constructible number. This is a consequence of the fact that the coordinates of a new point constructed by a compass and straightedge are roots of polynomials over the field generated by the coordinates of previous points, of no greater degree than a quadratic. This implies that the degree of the field extension generated by a constructible point must be a power of 2. The field extension generated by 3√2, however, is of degree 3.

Doubli might refer to

Doubling the cube, also known as the Delian problem, is an ancient geometric problem. Given the edge of a cube, the problem requires the construction of the edge of a second cube whose volume is double that of the first. As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to be impossible using only a compass and straightedge, but even in ancient times solutions were known that employed other tools.
* The Egyptians, Indians, and particularly the Greeks were aware of the problem and made many futile attempts at solving what they saw as an obstinate but soluble problem. However, the nonexistence of a solution was finally proven by Pierre Wantzel in 1837.
* In algebraic terms, doubling a unit cube requires the construction of a line segment of length x, where x3 = 2; in other words, x = 3√2. This is because a cube of side length 1 has a volume of 13 = 1, and a cube of twice that volume (a volume of 2) has a side length of the cube root of 2. The impossibility of doubling the cube is therefore equivalent to the statement that 3√2 is not a constructible number. This is a consequence of the fact that the coordinates of a new point constructed by a compass and straightedge are roots of polynomials over the field generated by the coordinates of previous points, of no greater degree than a quadratic. This implies that the degree of the field extension generated by a constructible point must be a power of 2. The field extension generated by 3√2, however, is of degree 3.

WAS THIS PAGE HELPFUL? Grab a CITATION

http://www.anagrammer.com/crossword/answer/doubli

COPY