Liberal Arts from a art chick point of view…

My book is here! My bookywook is HERE!

Thank you to my many inspirations especially Wendy and Richard Pini of Elf Quest, Barry Windsor Smith of the X-men and Alan Davis of Excalibur!

In a way, I am an elf-daughter of Elf Quest’s Sun Folk and Gliders. These books were my inspiration as a teenager. Now that I an underway on a graphic novel series of my own, I wonder if Wendy and Richard Pini would be proud of me?

Superficial* In Between Days now sits among its influences on my main bookshelf. In time it will be joined by its sister Superficial*! This is a victory for Nami the second child of Mikka and Kaisei who is always in the shadow of her elder sister Sakura who’s first own graphic novel, Superficial*, is still two issues away form being completed. Here’s to not so small victories over inferiority complexes!

Now to find a publisher, which I hope will be Fantagraphcs, and submit the New York Times book review which covers all books that are on the market. I doubt the reviews will be favorable, but at least it acknowledgment of the existence of my hard work.

E-E-O!

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GEOMETRY

Inductive Reasoning: the study of patterns

Deduction Reasoning: the study of events that lead up to a proof or examining the reasons why something happens. This is reasoning is used for proofs.

Coplanar lines: Lines that are on the same plane.

Congruent: When a segment is bisected ( perfectly in the center), it’s halved are congruent.

Complimentary Angles are two angles who’s measures add up to 90°

( Imagine the angles pictured)

m90°

Supplementary angles are two angles whose measures add up to 180°

m4 Different Ways to State a Theorem

If -Then Statments: if p then q: ” If I am good, then I hold the monkey.”

Converse Statements: (switch) if q then p: “If I hold the monkey then I am good.”

These 2 are “statement forms”

You can negate the statement

Inverse Statements: If not p then not q. “If I’m not good. then I won’t hold the monkey.”

Reverse and Negate the Statement:

Contrapositive: If not q, then not p. “If I don’t hold the monkey, then I’m not good.”

See how these statements apply to theorems.

If the statement is true, then the contrapositive is also logically true. There are four ways to state theorems. When a statement and it’s converse are true, all four statements are true.

Summary of If-then Statements

• statement

• inverse

• converse

• contrapositive

Together the make the BICONDITIONAL STATEMENT

P if and only if q

“if two lines intersect, then they intersect at a unique point”

The Biconditional of that statement is:

Two lines intersect if and only if they intersect at a unique point.

ANGLES

An angle is two rays that share the same endpoint.

Angles and their Theorems

Algebraic Properties

The Reflective Property: when a value is equal to itself ( i.e. a mirror image)

Reflexive Property: when an angle or segment is congruent to itself.

Substitution Property

Let’s say we have two statements:

m<1+m<3= 180

m<1= m<2

Using the substitution property, we can switch two angles that are equal.

The measure of angle 1 and the measure of angle 2 on our first statement.

m<1+m<3= 180

m<1= m<2

So the measure of angle 2 plus the measure of angle three equal 180

m<2+m<3= 180

Switching the values of the measure angle 1 and the measure 2 is substitution.

Transitive Property

A=B as B=C the A=C

Angle Related Theorems

A friend of mine gave me this algorithm to solve. I wonder if the methods below can be applied to it.

P(x) is a cubic polynomial

P(-3)=P(-1)=P(2)=0 and P(0)=6, find P(x)

11 Perfect Square Numbers from 1-100 ( Memorize them!)

0

1

4

9

16

25

36

49

64

81

100

—

FOIL

First

Outside

Inside

Last

Find the product of (2x+1)squared

First, write the expression out in long hand:

(2x+1)(2x+1)

(2x)(2x)

First

Then the outside term

(2x+1)(2x+1)

(2x)(2x)+(2x)(1)

outside

Then is the inside terms

(2x+1)(2x+1)

(1)(2x)

inside

and then the last terms

(2x+1)(2x+1)

ax(squared)+bx+c

The plus by the “c” constant mean that the signs of factors will be the same

(+)(+)

(-)(-)

(-)(-)

If there is a minus by the “c” constant, the signs of the factors will be different.

ax(squared)+bx–c

On positive or one negative

(+)(-)

(-)(+)

(+)(-)

(-)(+)

—

ALGEBRA 1

Functions:

f(x) stands for function of x. Or shortened: F of X

F of X is another way of saying y in a function.

f(x)= y

Know when an algebra problem is trying to fool you. There is a method of writing functions properly

y = 3x+4

y = 3x+4<— That expressed Y as a function of X Another way of writing this is: y= f(x)= 3x-4 or f of x : f(x)= 3x+4 This is how you'll see functions represented most often. It's called the STANDARD FORM for expressing a function. Functions are easiest to recognize and deal with when they are in standard form. Most of algebra is concerned with putting functions that are not in standard form into standard form! You'll need to be really familiar with this kind of relation. Terms When algebraic expressions are made up of parts that are added and subtracted. Each part is called a term. Terms are always separated by + or – signs.

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