Crossword-Solution: CISSOID
Dictionary
| Word | Word Type | Definition |
|---|---|---|
| Cissoid | n. | A curve invented by Diocles, for the purpose of solving two celebrated problems of the higher geometry; viz., to trisect a plane angle, and to construct two geometrical means between two given straight lines. |
We have 3 clues for the answer “CISSOID”
| Clue | Answers |
|---|---|
| cuspoidal curve | 1 answer |
| Geometric Curve | 8 answers |
| CURVE plane | 8 answers |
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Kind of apple
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E
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A
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T
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E
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R
Hint 1 meaning
One who, or that which, eats.
Hint 2 anagram
ETRAE
Hint 3 another clue
greedy person
8 +1
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Sentences with CISSOID (5)
Let APB be a semicircle, BT the tangent at B, and APT a line cutting the circle in P and BT at T; take a point Q on AT so that AQ always equals PT; then the locus of Q is the cissoid.
Take a rod LMN bent at right angles at M, such that MN = AB; let the leg LM always pass through a fixed point O on AB produced such that OA = CA, where C is the middle point of AB, and cause N to travel along the line perpendicular to AB at C; then the midpoint of MN traces the cissoid.
The cissoid is the first positive pedal of the parabola y² + 8ax = 0 for the vertex, and the inverse of the parabola y² = 8ax, the vertex being the centre of inversion, and the semi-latus rectum the constant of inversion.
The term cissoid has been given in modern times to curves generated in similar manner from other figures than the circle, and the form described above is distinguished as the cissoid of Diocles.
The Greeks could not solve this equation, which also arose in the problems of duplicating a cube and trisecting an angle, by the ruler and compasses, but only by mechanical curves such as the cissoid, conchoid and quadratrix.