Morning / Morrow - בקר - Bukra

There's an arabic woman here in the Merkaz Klita- Affaf, and she told me interestingly enough that Bukra in arabic means "tomorrow" rather than morning. Peculiar.

And then I was thinking about the word בקר in the Torah and so far everything with בקר is used for tomorrow!!

• ויהי ערב ויהי בקר
• וַיְדַבֵּר אֶל-קֹרַח וְאֶל-כָּל-עֲדָתוֹ, לֵאמֹר, בֹּקֶר וְיֹדַע יְהוָה אֶת-אֲשֶׁר-לוֹ
• בראשית מד') הַבֹּקֶר, אוֹר; וְהָאֲנָשִׁים שֻׁלְּחוּ, הֵמָּה וַחֲמֹרֵיהֶם

[Found an exception by the Parsha of Judges in פר' יתרו - standing on Moshe מן בקר עד ערב

וצע"ע]

Trig Thoughts II

In the last post I limited myself only to unique ratios (or maybe "prime-number ratios" is a better way to put it??... don't know...) coming from the first 5 numbers (which yielded 10 ratios / יחוסים) .

Fascinatingly enough, when expanding the list to encompass the numbers 1 thru 10 you yield 32 ל"ב ratios... Chart Below.

Trig Thoughts

Was learning a bit of the Vilna Gaon's writings on Trigonometry איל משולש (graciously provided by HebrewBooks.org).

A little bit overwhelmed but wanted to put one thing down.

Trigonometry essentially being a science of ratio's and relationships [יחוסים וערכים] . That being the case you will notice that among the first five (5) numbers you have a total of exactly ten (10) unique relationships or ratios:

1:1, 1:2, 1:3, 1:4, 1:5, 2:3, 2:5, 3:4, 3:5, 4:5

The Gr"a specifically mentions the 3:4 ratio (along with 6:8 as they are identical) in his example and points out there are 4 additional derivative ratios (as there are in all of them). Namely:

3:4

1. The ratio of the Difference of the Two integers to the Lower Integer. 4-3 =1. The 1 relative to the 3 (the lower) being the new derivative ratio of one-third (1/3).

2. The ratio of the Difference of the Two integers to the Higher Integer. 4-3 =1. The 1 relative to the 4 (the higher) being the new derivative ratio of one-fourth (1/4).

3.The ratio of the Sum of the Two integers to the Lower Integer. 4+3=7. The 7 relative to the 3 (the lower) being the new derivative ratio of 7/3rds or 2&1/3.

4.The ratio of the Sum of the Two integers to the Higher Integer. 4+3=7. The 7 relative to the 4 (the higher) being the new derivative ratio of 7/4ths or 1&3/4.

What I did was make a spreadsheet of the 4 derivative ratios for all of the numbers from 1 - 5.

Possibly related to יעקב and עולם ושליש עולם but couldn't say for sure...

ר' ברכיה אמר: עולם, ושליש עולם הראה לו. Br"R 68:12
עולים, אין פחות משנים.
ויורדים, שנים.
ומנין שהמלאך שלישו של עולם?
שנאמר (דניאל י): וגויתו כתרשיש, ופניו כמראה ברק, ועיניו כלפידי אש, וזרועותיו ומרגלותיו כעין נחושת קלל

Note the Derasha stemming from תרשיש --> תרי ושש which yields 1/3.

Also, consider the phrase שלשלת יוחסין .

Nice Song - Little Red Riding Hood - Sam the Sham

Initially thought was just another שיר עגבים but then looked at the lyrics and it's actually pretty profound! Similar themes can be found in Billy Joel and George Michael as well.

Essentially the struggle of every צדיק with a יצרא דעריות and an עץ הדעת.

אין אפוטרופוס לעריות ותרתי מעה דסוף קידושין

Owoooooooo!
Who's that I see walkin' in these woods?Why, it's Little Red Riding
Hood.
Hey there Little Red Riding Hood,You sure are looking good.
You're everything a big bad wolf could want.

Listen to me.Little Red Riding Hood
I don't think little big girls should
Go walking in these spooky old woods alone.
Owoooooooo!

What big eyes you have,The kind of eyes that drive wolves mad.
So just to see that you don't get chased
I think I ought to walk with you for a ways.

What full lips you have.They're sure to lure someone bad.
So until you get to grandma's place
I think you ought to walk with me and be safe.

I'm gonna keep my sheep suit on
Until I'm sure that you've been shown
That I can be trusted walking with you alone.
Owoooooooo!

Little Red Riding Hood
I'd like to hold you if I could
But you might think I'm a big bad wolf so I won't.
Owoooooooo!

What a big heart I have-the better to love you with.
Little Red Riding Hood
Even bad wolves can be good.
I'll try to be satisfied
just to walk close by your side. [סוכה נב. אורחין רחיקא וצוותין בסימא]
Maybe you'll see things my way before we get to grandma's place.

Little Red Riding Hood
You sure are looking good
You're everything that a big bad wolf could want.
Owoooooooo!
I mean baaaaaa! Baaa?

בכל נפשך- אפילו הוא נוטל את נפשך

בכל לבבך בשני יצריך ביצר טוב וביצר הרע. ובכל נפשך אפילו הוא נוטל את נפשך. ובכל מאדך בכל ממונך ד"א בכל מאדך בכל מדה ומדה שהוא מודד לך הוי מודה לו

Notice how it didn't remain consistent and say simply בחייך. The language of אפילו הוא נוטל את נפש is a little strange.

נלע"ד Even if He's the one that is killing you. אפילו הוא נוטל את נפשך

It's one thing to give up your life for your love, it's another to let your beloved kill you.

(ועי' בהקדמת הזוהר יב א ...פקודא תניינא)

The Zohar ibid actually references the התהלך לפני והיה תמים of בירת מילה as related to this issue. תמים באהבה. Which goes well with what I've said to myself for awhile now: The amazing demand of שמירת ברית ישראל being essentially the equivalence of evolutionary suicide. אפילו הוא נוטל את נפשך