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This is a second puzzle from the Monoalphabetic Equation series, you can check out the previous one here.


A set of letters has been replaced by $a$, $b$, $c$, and $d$ and one symbol has been replaced by $x$.
Following are some of the English words that consist of those letters, and their meaning:

$abcd = \large ○ \normalsize + ▿\ + $ enter image description here

$cbad = \large ● \normalsize + \small ○ $

$cbda = \text{△} \normalsize +\ —\ +\ –\ $

$cab \normalsize + x = x\ +$ \

- What are the letters that $a$, $b$, $c$, and $d$ replace, respectively?
- What is the symbol that $x$ replace?

Here's a picture, in case the unicode is not working.

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  • $\begingroup$ Are the open circles in the first and second lines different sizes? $\endgroup$ – Greg Nov 28 '18 at 15:18
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    $\begingroup$ Yes, the (open) circle in the second line is a small circle. $\endgroup$ – Chrone Nov 28 '18 at 15:19
  • $\begingroup$ So do the shapes on the right come out to be the definition of the word on the left? $\endgroup$ – Dorrulf Nov 28 '18 at 18:10
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Answer:

$a$ = r, $b$ = i, $c$ = t, $d$ = e, $x$ = $∠$
Note: The shapes on the right are combined to make a symbol representing the word on the left.

$abcd = \large ○ \normalsize + ▿\ + $ upward arrowhead

Word = rite
Depiction = Masonic ritual symbol (per @Timoris) or Wicca ritual pentacle, triangle + arrowhead make a star (intended answer per @Chrone)

$cbad = \large ● \normalsize + \small ○ $

Word = tire
Depiction = tire image

$cbda = \text{△} \normalsize +\ —\ +\ –\ $

Word = tier
Depiction = (per @Timoris) tier image

$cab \normalsize + x = x\ +$ \

Okay, I found this one to be particularly clever:
$x$ is $∠$
thus $cab$ + $x$ = $x$ + \ becomes
tri $∠$ = $∠$ + \
or rather:
triangle = $△$

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  • $\begingroup$ The last one is right under your nose. Although, I feel obligated to tell you that I should have use a pure symbol to replace the last one because it's not even a letter. I let it go because I thought that $x$ could pass off as a cross somehow, I guess not. It's entirely my fault. I'm sorry! $\endgroup$ – Chrone Nov 28 '18 at 18:13
  • $\begingroup$ Oh. Alright, I'll keep that in mind, thank you! $\endgroup$ – Dorrulf Nov 28 '18 at 18:18
  • $\begingroup$ So to speak, $x$ is one of the unicode symbols that is not a letter and I can assure you that it will become clear once you found out what it is! $\endgroup$ – Chrone Nov 28 '18 at 18:18
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    $\begingroup$ I think the first might be rot13(n serrznfba flzoby, gur bar jvgu gur pbzcnff) and the third is simply a rot13(gevnatyr jvgu gjb ubevmbagny yvarf fcyvggvat vg vagb 3 gvref). $\endgroup$ – Timoris Nov 28 '18 at 18:36
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    $\begingroup$ @Timoris It’s cool that you somehow connect it to r13(Znfbavp evghny flzoby) when I actually aimed for a simple r13(Jvppn evghny cragnpyr, gevnatyr + neebjurnq znxr n fgne). I’d say It’s good enough for me to accept. Also, you are right about third one. $\endgroup$ – Chrone Nov 28 '18 at 18:55

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