Seeker of Lost Homework

Seeker of Lost Homework is a Basic Collections achievement that requires unlocking all of the trophies from Cracked Fractal Encryption boxes.

Achievement

Seeker of Lost Homework	Basic Collections	5
Collect 21 junk items from Fractal Encryptions awarded in the Fractals of the Mists."Math? Of course I know math! What kind of things are they teaching you kids these days? Bah!" —Councillor Phlunt Title: Professor Reward: Fractal Encryption Key (5) Collection	Collected 1 Junk Item From Fractal Encryptions	1
	Collected 6 Junk Items From Fractal Encryptions	1
	Collected 11 Junk Items From Fractal Encryptions	1
	Collected 16 Junk Items From Fractal Encryptions	1
	Collected 21 Junk Items From Fractal Encryptions	1

Items in this collection

	Objective	Notes
1	Proof of Bask's Theorem	Refers to a particular proof of the Pythagorean Theorem (after Bhaskar).
2	Proof of Neta's Square Inversion Law	Refers to the inversely quadratic property of an intensity in relation to a distance in some physical laws (after Newton).
3	Proof of Gott's Integral Derivation	Refers to the Fundamental Theorem of Calculus, which states that differentiation reverses the process of integration, and that integration can be used to find antiderivatives (after Gottfried Leibniz).
4	Proof of Drik's Transformations	Refers specifically to the Lorentz Transformations of relativity (after Hendrik Lorentz).
5	Proof of Gali's Proportional Traversal	Refers to Interception theorem (also known as Thales' theorem, used to determinate ratios of various line segments that are created if two intersecting lines are intercepted by a pair of parallels (after Galileo Galilei).
6	Proof of Dekin's Rational Cuts	Refers to Dedekind cut, which is a partition of the rational numbers into two non-empty sets A and B, such that all elements of A are less than all elements of B, and A contains no greatest element. Dedekind cuts are one method of construction of the real numbers (after Richard Dedekind).
7	Manuscript of 'Halfway There and...'	Refers to one of Zeno's paradoxes where one cannot reach a destination due to constantly having to travel half the distance to it.
8	Manuscript of 'This Book Is False'	Refers to the Liar's paradox.
9	Manuscript of 'Proposal for a 1:1 Scale Map of Tyria'	Refers to a 1:1 scale model simply being the original object.
10	Postulate of Construction	Refers to the first postulate (axiom) of Euclidean geometry from Euclid's Elements, which states that a straight line can be constructed from any point to any other point..
11	Postulate of Continuity	Refers to the second postulate of Euclidean geometry from Euclid's Elements, which states that a finite straight line can be extended continuously.
12	Postulate of Diameter	Refers to the third postulate of Euclidean geometry from Euclid's Elements, which states that a circle can be described with any given centre and radius (and therefore any given diameter, since the diameter of the circle is 2 times the radius).
13	Postulate of Rectitude	Refers to the fourth postulate of Euclidean geometry from Euclid's Elements, which states that "all right angles are equal to one another".
14	Postulate of Parallels	Refers to the Parallel Postulate, the fifth postulate of Euclidean geometry from Euclid's Elements, which is often stated as "in a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point".
15	Postulate of Superposition	Refers to the Method of Superposition, a method of proof used in Euclid's Elements but not permitted by the axioms. Some modern treatments of Euclidean geometry add an extra sixth postulate to account for this.
16	Treatise on Convergence	Refers to the Convergent propriety of series in maths - a Convergent series is a series that converge to its limit.
17	Treatise on Divergence	Refers to the Divergency of series in maths - a Divergent series is a series that does not converge to its limit.
18	Treatise on Equivalence	Refers to a term X being equal to a term Y.
19	Treatise on Symmetry	Refers to the invariability of an object after a transformation.
20	Treatise on Iteration	Refers to the act of repeating a process with the aim of approaching a desired result.
21	Treatise on Commensurability	Refers to the probability of two concepts or things of being measurable or comparable by a common standard.