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== Part 1 ==
=== Chapter 1 ===
Diagram of the 4 Rithmatic Lines: [http://thebooksmugglers.com/wp-content/uploads/2013/05/rithmatist-the-four-rithmatic-lines.jpg]
[[Joel Saxon|Joel]] is sent to run errands for the office. He keeps the message for the Rithmatics professor [[Fitch]] for the last one and sneaks into Fitch's classroom. When Professor [[Andrew Nalizar|Nalizar]] shows up to challenge Professor Fitch Joel watches the duel and witnesses the loosing of Professor Fitch.
=== Chapter 2==▼
▲=== Chapter 2 ===
Diagram of 2 point and 4 point circles: [http://www.tor.com/images/stories/blogs/13_04/rithmatist3.png]
Joel comes back to the office after running his errands and watching the fight between Nalizar and Fitch. He tells the clerks that Fitch lost. That causes the clerks, [[Florence]] and [[Exton L. Pratt|Exton]], to discuss about the necessity of such duels.
Because the summer holidays are coming, Joel needs to choose a [[Armedius_Academy#Summer_Electives|summer elective]]. Florence prods him to do so and not miss it, for he would end up in a remedial tutelage if he does. He promises to do it in time.
=== Chapter 3 ===
After history class Joel has to do math. Joel likes mathematics as for geometry is the base for [[Rithmatics]]. The [[Armedius_Academy#Rithmatic_Campus|Rithmatic campus]] was set apart to the [[Armedius_Academy#General_Campus|General campus]] though -- as in Joel's math class -- some of the Rithmatists had to join the ordinary classes because of lacking the basics.
When Professor [[Layton]] comes to check off last night's assignment, Joel is caught in not having done them. When Professor Layton dismisses the class he tells Joel to stay. Though Joel got perfect marks in the tests, Professor Layton isn't convinced about Joel's knowledge and Joel realizes that the professor thought him cheating. Joel supposes to do the assignment in these last few minutes of the class and begins to do. The professor thought somebody told Joel the answers and draws a new task on the board. Joel solves it quite instantly and points out that the drawings where not really accurate. He proves to be able to draw perfect lines and circles by eye and convinces Professor Layton that he already knew what was taught during this term, and also trigonometry and algebra. Finally the professor gives Joel the pass for geometry class.
=== Chapter 4 ===
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