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There were four known Rithmatic lines at the start of [[The Rithmatist]]; however, two new lines were discovered over the course of the novel (the Line of Silencing and the Line of Revocation).
 
[[File: {{image|Line of Warding.svg|thumbside=right|width=150px]]}}
=== Line of Warding ===
The strength of a Line of Warding is determined by its evenness and its curvature. The steeper the curve, the stronger the line. This is a moot point in circles as their curvature is equal around its entirety. In ellipses however the strength is variable; peaking at its bindpoints and reaching its lowest point on the sides.{{ref|name=linestrengths}}
 
=== Line of Forbiddance ===
[[File: {{image|Line of Forbiddance.svg|thumbside=right|width=250px]]}}
A Line of Forbiddance is a defensive line that projects an impenetrable plane perpendicular to the surface it is drawn on. Not even the Rithmatist who drew it is able to cross it.{{ref|name=linesofforbiddance}} The strength of a Line of Forbiddance is determined by its straightness; the straighter the line is, the stronger it is. The line's thickness determines the height of the invisible plane it produces above it.{{ref|name=linestrengths}} A well-drawn Line of Forbiddance can stop bullets and, in some cases, cannonballs.{{book ref|Rithmatist|15}}
 
 
=== Line of Vigor ===
[[File: {{image|Line of Vigor.svg|thumbside=right|width=300px]]}}
Lines of Vigor are one of the main offensive Rithmatic lines. It is drawn in the shape of a [[Wikipedia:sine wave|sine wave]], from the outside in. As long as it completes two intervals it will shoot out until it reaches an obstacle. Most chalklings are easily destroyed by Lines of Vigor. If it reaches a Line of Warding it will create a pockmark, if enough hit the same point then the line could be breached.{{ref|name=linesofvigorpartone}} Lines of Vigor reflect off of Lines of Forbiddance.{{ref|name=bouncingvigor}} The strength of a Line of Vigor is based on how large the curve of their wave is. A tighter curve, that puts the same amount of lines in a smaller area is harder to draw, but stronger, than one that has a longer wave.{{ref|name=linestrengths}}
 
Lines of Vigor generally behave like light waves{{wob ref|3155}}: they will reflect off of Lines of Forbiddance and refract upon change of medium. Higher frequency Lines are better at penetrating, while lower frequency Lines are better at energy transfer (i.e. displacing Lines of Warding).
[[File: {{image|Line of Making complexity.svg|side=right|width=400px]]}}▼
 
=== Line of Making ===
{{for|chalkling}}▼
 
Lines of Making are used to create [[chalkling]]s.{{book ref|Rithmatist|23}} The strength of a Line of Making is determined by the "complexity and aesthetic beauty" of the chalkling it creates.{{ref|name=linestrengths}}
 
Chalklings made with a Line of Making are unable to affect anything that isn't made of chalk unless the Glyph of Rending is added to their instructions.{{book ref|Rithmatist|8}}
▲{{for|chalkling}}
 
▲[[File: Line of Making complexity.svg|400px]]
 
[[File: {{image|Line of Silencing.svg|thumbside=right|width=250px]]}}
 
=== Line of Silencing ===
The shape of this line was discovered by [[Trent Saxon]], a chalkmaker.{{book ref|Rithmatist|18}} The effect was unknown until [[Joel Saxon]] discovered the use from the [[Scribbler]].
 
[[File:{{image|Line of Revocation.svg|thumbside=right|width=250px]]}}
 
===Line of Revocation===
The nine-point circle has bindpoints based on a non-obtuse triangle. The bindpoints are located at the midpoint of each side and at the points where the triangle's [[Wikipedia: Altitude (triangle)|altitude]] lines intersect the circle. They require a great deal of practice in order to successfully determine where each of the bindpoints are located. Due to this difficulty many Rithmatists do not choose to spend the time required to master it.{{ref|name=9pt}}
{{anchor|Easton Defense}}
; Easton Defense: A defense that is suited for multiple opponents. It has circular Lines of Warding at each of its bindpoints and and Lines of Forbiddance that form a nine-sided figure with three lines missing which act as support for the mine circle. Drawbacks to the defense are the difficulty of nine-point circles and the restriction created by the Lines of Forbiddance. There are a number of variations on this defense, such as adding defensive chalklings to the outer circles.{{ref|name=eastonbasic}} A more advanced iteration of this defense adds a Mark's Cross to each of the outer circles and decreases the internal Lines of Forbiddance from six to three. Defensive chalklings are also bound to a number of the outer circles' bindpoints.{{ref|name=eastonadvanced}}
<gallery widths=250px heights=250px caption= >
File: Easton.svg|The Easton Defense
Lines of Warding in the shape of an ellipse only have two bindpoints.{{ref|name=osborn}} They are strong at the ends (near the bindpoints) but weak along the sides.
{{anchor|Jordan Defense}}
; Jordan Defense:
;Invented by [[Matthew Jordan]], Defense:it Ais a defense characterized by the large cage of Lines of Forbiddance drawn around it. Large numbers of offensive chalklings are drawn inside the cage and are released in waves by dismissing the front Line of Forbiddance, which is then redrawn after the chalklings have moved forward.{{book ref|Rithmatist|11}} At each of the two bindpoints have a line running through them to serve as an anchor. It requires a great deal of skill in making sure the chalklings wait until the Line is dismissed before moving forward. It is an unconventional defense and some teachers are reluctant to teach it.{{ref|name=jordan}}
<gallery widths=250px heights=250px caption= >
File: Jordan Defense Diagram.svg|The Jordan Defense
</gallery>
{{anchor|Osborn Defense}}
; Osborn Defense:
; Osborn Defense: Possibly theThe only basic defense based off of an ellipse.{{book ref|Rithmatist|9}} A defensive chalkling is bound to the upper bindpoint. The rear bindpoint has a line running through it to serve as the only anchor for the defense. On either side the Rithmatist my choose to add two circular Lines of Warding with a Mark's Cross to aid in defense. It is important though that they do not touch the main ellipse as they would not be touching a bindpoint.{{ref|name=osborn}}
<gallery widths=250px heights=250px caption= >
File: Osborn Defense Diagram.svg|The Osborn Defense
 
== External Link ==
* [[bws: Rithmatiststandalones-mapsnon-and-illustrationscosmere|''The Rithmatist'' Internalinternal Illustrationsart]] on Brandon's website
 
== Notes ==
<references>
{{file ref|name=linestrengths|LinestrengthsRithmatist - Line Strengths.svgjpg|Line Strengths Illustration}}
{{file ref|name=linesofforbiddance|Line of Forbiddance.svg|Lines of Forbiddance Illustration}}
{{file ref|name=anchoring|AnchoringRithmatist Defensive- CirclesAnchoring.svgjpg|Anchoring Defensive Circles Illustration}}
{{file ref|name=sumsion|Sumsion Defense.svg|Sumsion Defense Illustration}}
{{file ref|name=linesofvigorpartone|Line of Vigor.svg|Lines of Vigor Part One: Basic Usage Illustration}}
{{file ref|name=bouncingvigor|BouncingRithmatist Lines- ofBouncing VigorLines.svgjpg|Bouncing Lines of Vigor Illustration}}
{{file ref|name=ballintain|Ballintain Defense.svg|Ballintain Defense Illustration}}
{{file ref|name=6pt|Six-Point Circle.svg|Six-point Circle Illustration}}
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