### Definition of Tacnode

**1.** a point of contact between two curves [n -S]

### Tacnode Pictures

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### Lexicographical Neighbors of Tacnode

### Literary usage of Tacnode

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *An Elementary Treatise on Cubic and Quartic Curves* by Alfred Barnard Basset (1901)

"A **tacnode** cusp is formed by the union of a ... The curve belongs to species
VIII., which has two double tangents; and since the tangent at a **tacnode** counts ..."**2.** *An Elementary Treatise on Cubic and Quartic Curves* by Alfred Barnard Basset (1901)

"A **tacnode** cusp is formed by the union of a ... belongs to species VIII., which
has two double tangents ; and since the tangent at a **tacnode** counts twice, ..."**3.** *On the In-and-circumscribed Triangles of the Plane Rational Quartic Curve* by Joseph Nelson Rice (1917)

"For the construction of these triangles see Figure 1. (6) The Quartic with a
**tacnode** Let the parametric equations be ..."**4.** *The Cambridge and Dublin Mathematical Journal* by William Whewell, Duncan Farquharson Gregory, Robert Leslie Ellis, William Thomson Kelvin, Norman Macleod Ferrers (1852)

"Consider the **tacnode** as two coincident nodes; each of these nodes, by virtue of
its constituting, in conjunction with the other, ..."**5.** *The Cambridge and Dublin Mathematical Journal* by William Thomson, N M Ferrers (1852)

"Consider the **tacnode** as two coincident nodes; each of these nodes, by virtue of
its constituting, in conjunction with the other, ..."**6.** *The Collected Mathematical Papers of Arthur Cayley* by Arthur Cayley (1889)

"Consider the **tacnode** as two coincident nodes; each of these nodes, by virtue of
its constituting, in conjunction with the other, ..."**7.** *A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on* by George Salmon (1879)

"It is to be noticed that the common tangent counts twice as a double tangent of
the curve; thus, supposing that there is not (besides the **tacnode**) any node ..."**8.** *Transactions* by Cambridge Philosophical Society (1804)

"The remaining surfaces never can have a **tacnode** t, as it is very easy to verify.
We have therefore to investigate the conditions that the quartic F = 0 ..."**9.** *An Elementary Treatise on Cubic and Quartic Curves* by Alfred Barnard Basset (1901)

"A **tacnode** cusp is formed by the union of a ... The curve belongs to species
VIII., which has two double tangents; and since the tangent at a **tacnode** counts ..."**10.** *An Elementary Treatise on Cubic and Quartic Curves* by Alfred Barnard Basset (1901)

"A **tacnode** cusp is formed by the union of a ... belongs to species VIII., which
has two double tangents ; and since the tangent at a **tacnode** counts twice, ..."**11.** *On the In-and-circumscribed Triangles of the Plane Rational Quartic Curve* by Joseph Nelson Rice (1917)

"For the construction of these triangles see Figure 1. (6) The Quartic with a
**tacnode** Let the parametric equations be ..."**12.** *The Cambridge and Dublin Mathematical Journal* by William Whewell, Duncan Farquharson Gregory, Robert Leslie Ellis, William Thomson Kelvin, Norman Macleod Ferrers (1852)

"Consider the **tacnode** as two coincident nodes; each of these nodes, by virtue of
its constituting, in conjunction with the other, ..."**13.** *The Cambridge and Dublin Mathematical Journal* by William Thomson, N M Ferrers (1852)

"Consider the **tacnode** as two coincident nodes; each of these nodes, by virtue of
its constituting, in conjunction with the other, ..."**14.** *The Collected Mathematical Papers of Arthur Cayley* by Arthur Cayley (1889)

"Consider the **tacnode** as two coincident nodes; each of these nodes, by virtue of
its constituting, in conjunction with the other, ..."**15.** *A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on* by George Salmon (1879)

"It is to be noticed that the common tangent counts twice as a double tangent of
the curve; thus, supposing that there is not (besides the **tacnode**) any node ..."**16.** *Transactions* by Cambridge Philosophical Society (1804)

"The remaining surfaces never can have a **tacnode** t, as it is very easy to verify.
We have therefore to investigate the conditions that the quartic F = 0 ..."

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