user avatar
user avatar
user avatar
hyperpallium
  • Member for 4 years, 7 months
  • Last seen more than 2 years ago
36 votes
13 answers
7k views

A way to directly see that the interior angles of triangle sum to $180^\circ$?

3 votes
2 answers
933 views

A way to directly see the Inscribed angle theorem? (i.e. central angle is twice the inscribed angle)

3 votes
2 answers
785 views

$f(a) = 0 \implies (x-a) \mid f(x)$? (polynomial zeros imply factors)

3 votes
1 answer
254 views

Fundamental Theorem of Algebra proof, for max real roots of real polynomials - using only high school algebra-precalc?

3 votes
2 answers
1k views

*Seeing* why horizontal shifts are reversed?

3 votes
2 answers
520 views

prove $x+y=a, xy=b$ uniquely determine $x,y$

3 votes
1 answer
131 views

Are there other self-similar functions like $e^x$ and $\cos x$? [duplicate]

3 votes
3 answers
672 views

Technique for simplifying, e.g. $\sqrt{ 8 - 4\sqrt{3}}$ to $\sqrt{6} - \sqrt{2}$

2 votes
1 answer
406 views

Is there a term analogous to factoring, for addition?

2 votes
3 answers
490 views

When can one apply limit properties?

2 votes
5 answers
263 views

Why does subtraction work over positives and negatives (in $\mathbb{Z}$)?

1 vote
1 answer
63 views

For a group [Z,+] with unlabelled integers, what's an algorithm to determine the positive and negative subsets?

1 vote
2 answers
296 views

How to generalize the mechanism of subtraction, from naturals to negatives? [closed]

1 vote
2 answers
77 views

Understanding the law of cosines, directly from the formula

1 vote
2 answers
134 views

Why doesn't $\sqrt{ab}=\sqrt{a}\sqrt{b}$ work for $a,b<0$? [duplicate]

1 vote
1 answer
182 views

Does "standard polynomial form" define an ordering of terms of equal order e.g. $xy^2 + x^2y$

1 vote
3 answers
210 views

Visual proof of isosceles base-angle congruency?

0 votes
0 answers
225 views

If two polynomials over integers are equivalent, are the same polynomial expressions defined over positive integers also equivalent?

0 votes
0 answers
59 views

Is there a problem with canonical forms for ratios?

0 votes
1 answer
159 views

A more direct way to see that the angle inscribed in a semicircle is $90^\circ$?

0 votes
1 answer
22 views

Simple description/name for 0/1 in second position in binary? (analogous to even/odd for 0/1 in first position)

0 votes
1 answer
440 views

Polynomial Remainder Theorem seems to use divide by zero

0 votes
3 answers
189 views

Can we factor multivariate polynomial $x+xy+y$?

0 votes
1 answer
87 views

How to improve at handling the (mild) complexity of high school trig?

0 votes
1 answer
36 views

How to think about/what is the justification for $\pm \sqrt{x^2} = x$?

0 votes
2 answers
291 views

Algebraic proof that $ ||\vec{a} +\vec{b}|| \le ||\vec{a}|| + ||\vec{b}|| $ [duplicate]

0 votes
1 answer
52 views

Is there a way to directly see the number of combinations? (other than as $n\mathrm{C}r = n\mathrm{P}r/n!$)

0 votes
0 answers
99 views

A way to directly see $a^2+b^2=f^2$ for hyperbolae?

-2 votes
1 answer
179 views

Are there number systems that fix divide-by-zero? [duplicate]