<h1 id="geometry">Geometry<a aria-hidden="true" class="anchor-heading icon-link" href="#geometry"></a></h1>
Doubling the length of each side of a square will produce a square that is 4x bigger. This is because a square is a 2-dimensional object, and we are doubling the sides (2²). Similarly, if we double the radius of a sphere, it's volume scales by 8x, since it is in 3-dimensional space (2³)
<h3 id="unit-conversion-of-area">Unit conversion of area<a aria-hidden="true" class="anchor-heading icon-link" href="#unit-conversion-of-area"></a></h3>
A common mistake is to think that <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn><mi>k</mi><msup><mi>m</mi><mn>2</mn></msup><mo>=</mo><mn>1</mn><mo separator="true">,</mo><mn>000</mn><msup><mi>m</mi><mn>2</mn></msup></mrow><annotation encoding="application/x-tex">1 km^2 = 1,000 m^2</annotation></semantics></math>1km2=1,000m2
<ul>
<li>in fact, <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn><mi>k</mi><msup><mi>m</mi><mn>2</mn></msup><mo>=</mo><mn>1</mn><mo separator="true">,</mo><mn>000</mn><mo separator="true">,</mo><mn>000</mn><msup><mi>m</mi><mn>2</mn></msup></mrow><annotation encoding="application/x-tex">1 km^2 = 1,000,000 m^2</annotation></semantics></math>1km2=1,000,000m2</li>
</ul>
<hr>
Children
<ol>
<li><a href="/notes/hk1w78bffigld5kz0qfoqye">Circle</a></li>
<li><a href="/notes/nfez8d0ozzhhz366is32l6r">Cone</a></li>
<li><a href="/notes/kszokhng6ok2w0iv1dspg4a">Trigonometry</a></li>
</ol>
<hr>
Backlinks
<ul>
<li><a href="/notes/gCmclfAHAt1tEcFDc24eD">Math</a></li>
</ul>

Geometry

thoughts-on


Welcome to my Second Brain! Here you'll find thoughts, lessons, facts and any other interesting musings that I've come across or thought up over the years. A lot of what I have gathered is originally from the minds of others, while some of it originates from myself. Some notes may contain misinformation, though I try to be rigorous with my additions.

What I have here does not necessarily reflect my thoughts and views. I collect information not based upon whether I agree with it or not, but rather when I determine it to contain some value that can be served in the future.  

You can think of this collection of inter-linked notes as my personal wiki.

This Dendron notebook is the sister vault to the tech-focused [Digital Garden](https://tech.kyletycholiz.com)

## Tags
Throughout the Second Brain, I have made use of tags, which give semantic meaning to the pieces of information.

- `ex.` - Denotes an *example* of the preceding piece of information
- `spec:` - Specifies that the preceding information has some degree of *speculation* to it, and may not be 100% factual. Ideally this gets clarified over time as my understanding develops. I try to go back after I have better understood the topic and clear out the notes of `spec:` tags
- `anal:` - Denotes an *analogy* of the preceding information. When I can, I attempt to link concepts to others that I have previously learned.
- `mn:` - Denotes a *mnemonic* to aid in memorization
- `expl:` - Denotes an *explanation*

## Resources
### UE (Unexamined) Resources
Often, I come across sources of information that I believe to be high-quality. They may be recommendations or found in some other way. No matter their origin, I may be in a position where I don't have the time to fully examine them (and properly extract notes), or I may not require the information at that moment in time. In cases like these, I will add reference to a section of the note called **UE Resources**. The idea is that in the future when I am ready to examine them, I have a list of resources that I can start with. This is an alternative approach to compiling browser bookmarks, which I've found can quickly become untenable.

### E (Examined) Resources
Once a resource has been thoroughly examined and has been mined for notes, it will be moved from *UE Resources* to *E Resources*. This is to indicate that (in my own estimation), there is nothing more to be gained from the resource that is not already in the note.

### Resources
This heading is for inexhaustible resources. 
- A prime example would be a quality website that continually posts articles- another example would be a tool, such as software that measures frequencies in a room to help acoustically treat it.
