The Mathematical Symbol "Geometrically Equal To (≑)"
The ≑ Symbol in Mathematics: Geometrically Equal To
Mathematical notation is rife with symbols that capture intricate relationships and concepts. One such symbol is ≑, signifying "Geometrically Equal To". In this article, we'll discuss its meaning and present examples of its application.
Usage
The ≑ symbol is not as commonly recognized as some other symbols, but in the contexts where it's used, it has a distinct importance. Typically, it communicates that two geometric figures, while not necessarily congruent, have a specified property that makes them "equal" in a certain geometric sense.
Examples
- Example 1: Equivalent Figures:
Let's say we have two geometric figures \( A \) and \( B \) which aren't congruent but share a specific geometric property, like having the same area. We can then write \( A ≑ B \) to denote that they're "geometrically equal" concerning that property. - Example 2: Equal Path Lengths:
Imagine two curves \( C_1 \) and \( C_2 \) in a plane. If for some geometric reason (like being under the same curve or between the same boundaries), their lengths are equal, we can use the notation \( C_1 ≑ C_2 \) to represent this "geometric equality".
In summary, while the ≑ symbol might not be a staple in everyday mathematical discourse, it serves a unique role in contexts that require a precise expression of geometric equivalences beyond mere congruence. It emphasizes that two entities share a specific property or characteristic, making them "equal" in a particular geometric context.
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Codes for the ≑ Symbol
| The Symbol | ≑ | |
| Alt Code | Alt 8785 | |
| HTML Code | ≑ | |
| HTML Entity | ≑ | |
| CSS Code | \2251 | |
| Hex Code | ≑ | |
| Unicode | U+2251 |
How To Insert the ≑ Symbol
(Method 1) Copy and paste the symbol.
The easiest way to get the ≑ symbol is to copy and paste it into your document.Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.
(Method 2) Use the "Alt Code."
If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8785. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)(Method 3) Use the HTML Decimal Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≑</b> | My symbol: ≑ |
(Method 4) Use the HTML Entity Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≑</b> | My symbol: ≑ |
(Method 5) Use the CSS Code (for webpages).
| CSS and HTML Text | Output |
|---|---|
|
<style> span:after { content: "\2251";} </style> <span>My symbol:</span> | My symbol: ≑ |
(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≑</b> | My symbol: ≑ |
| JavaScript Text |
|---|
|
const x = "0x"+"E9" ctx.fillText(String.fromCodePoint(x), 5, 5); |
| Output |
≑ |
(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).
The Unicode for ≑ is U+2251. The important part is the hexadecimal number after the U+, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:| Type | Output |
|---|---|
| 2251 [Hold down Alt] [Press x] | ≑ (The 2251 turns into ≑. Note that you can omit any leading zeros.) |
| JavaScript Text | Output |
|---|---|
| let str = "\u2251" document.write("My symbol: " + str) | My symbol: ≑ |