{ ꕕ ן ? ן ֽ ִָ ִ ֢Ɵ ֋ ׽ִ֤֯, ֳ׾֌ӳ ? ֤ --긇ִ -־-ִֻ֯ ֤ ֬ ֵ ׾ֵ ׽֤ ֵ ӓ֤ ׼ ִ֑ ꕕפ ֓פ ן ֽ ֟פ ָ ꕕֳ ֤ ן. }

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< ׾ָ֟þã֮, ꤮ִ㬤֟, ִֵ㬤֟ ׵ִ㬤ֹ֟ ׸֟ ִ֤ݤ™ ִݴ֣֤™ ӵִ֟ݤ™ ߾ ֮ ִ Ɵ ? ܵ֟־ ֯δ ִ Ի פ ߮ ܵ֟־ ֯δ ִ և ߯ ܵ֟ ִ Ɵ

- ?

ִ֮֬ - ߮ ã֮ ִ ֮Ӳ֮ ָ׿ ά֮ Ʈ ֟ ֣ ֹ ֮ ָ ֚ ֯δ ־ ֯δ Ʈ ׾ӳ

- ӯָ ־ ֯δ ׾ӳ ׻ֵ ?

ִ֮֬ - , ֮µ ָ , ֚ ֻ δ ֵ , ׻ֵ ӯָ ־ ֯δ ׾ӳ ׻ֵ

: ֬ ָ֮ ֚ ֟ ӓ ֮ ־ٟ֟ ָ δ ֮ ܵ֟־ ֲ ֟ , ִ֤ݤ™ פ ߮ ã֮ þã֮þã֮ פ ׿ֵ ִ֤ݤ™ פ ָ׿ ָָ ܵ֟־ ֯δ , ֟ ָ ߮ ã֮ þã֮þã֮ פ ׿ֵ ֟

׾ֿ֣ - þã֮פ ֤׸֟ ֤פ ߮ ã֮־֟ ߾ և ߯ ܵ֟ ִ Ʈ ֯ע ֻ֟և և ִ ִ-֮ ָ׿ ά֮ þ Ʈ 7 ֣ = 168 ֆ ֣ ִӿ ׾ӳֹ ָ֤ Ʈ ֱ֮ ָ֯ ֟ -

168 , ׾ 168/ 10 .

(168/ 10 1/2 ) X 2 X 168 Ʈ ֮ >

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{ 1. Ο ꕕֳִꕕפ ן ֚ : }

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{ ֽ ֟פ ןօ ־׸ -ֵ ־ ־, ָ߸ן׾֌ӳ־ ׾ָ׾ֵ֤֯ ꕕ ־ פ ָ߸ןִݬ֤ ӟ ˚ ע וִָ ־ִ֬֯ פ Ƥ ֬ ׾ָ ִӛ ֤ פ ֳ פ ִ֯ ן ƻ ֤֯ ׾ ּ 㾾 ֤օ ִ֯ ֟׸ ƻ ֤֯ ֬ ּ ן׸ִֻ֯ ֻ֌-ֲֳ֢ƻ ֤֯ ׾ ּ 㾾 ֵ־ ן׸ִֻ֯ ִ֕ ׾֌ӳִֵ ִִָ ן }

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< δ (1682 / 20 X 2 X 168 ) / 500 =9483264/ 50000000000 = 9261 / 19553125

׿ δ֑֮ ܵ֟־ ԅ ִ Կ֮ þ ֤פ ߮ ã֮־֟ ׿ֵ ָ ߮ ã֮ þã֮פ ֤ δ ֟ , ߮ ܵ֟־ ֣ և ߯ ܵ֟

֮ ׾ֿ֟ ꤮ִ㬤֟ ִֵ㬤֟ ֮ ׻ֵ Ʈ ֟ Ƶ, , ꤮ ֵ ִ㬤ִ֟ ™ ָ߸ ן ׾ßָ ֵ ֟ ׾ָ֟þã֮ ׵ִ㬤֟ ֮ ׻ֵ ܵ֟ ֮ ָ ־, ꤮ִ㬤֟ פ ָ ָ߸ ן ִ㬤֟ ֻ ߾ þֻ , ׻ֵ ִ֬ ָ ֬ ԟ ֜ ָ 쌟 ָ ו֟ ָ ֲ ־ ׾ָ׻֟ ׾ָ׻֟ ׿ Ο ן ִ֮ ӛ ֹ ָ Ο ׾ָ֮ ן ֯ ֮ ָ ߮ ֕ƻ ㌟ ֟˯Οָδ Ի ӯָ ־֟Ԯ ƻ ִ֮ Ƶ ָ ֕ ֟˯Οָδ Ӳ ӯָ ִ֮ ־֟Ԯ Ƶ ִ֮ ֟ ו֮֟ ֲ ־ ֮ ֟˯Οָδ Ӳ ןֵ˻ ӯָ ־֟Ԯ ƻ ִ֮ Ƶ ןֵݻ δ ָ֮ ׾ӳ ִֵ ֕δ , :ֻ֮, Ի ߮ ܵ֟־ ֯δ ִ ןֵݻ , ֮ ֵ֓ >

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{ ִꕕפ ן׸ֻ פ ן ׾ և׸ ן, ֛, 㾾ֲִ ׾ָ 㾾ֲִ? ֢׸ ן-ƻִ֤֕֯ -, ָ֢ƻִ֤֕֯ ־ֻ ע ִֻ֯ ֻ֤֤֕׾֌ӳ ֤ ׾֌ӳ ׸-

꛿֟ ꛿Ɵ סִֹֹ

-ס֟Ɵ ֤ׯ ֤˳־ִ 14 }

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< Ɵ ָ ָ ֮ י , , ֮ Դ þָ ֵ ֮ ֣ ׾ָ ֟

- ƻ þָ ֵ ֮ ?

ִ֮֬- ָ ֕ ֟֯Οָδ Ӳ ߮ ֕ ֟֯Οָδ Ӳ Ի ֟ ֕ ֟֯Οָδ Ӳ ־Ի , þָ ֵ ֮

ֻ ֮ ׾ӳֹ ֮ ֻ֮ : 쌟 ָ Ӳ֮ ׾ , : , : ߮ ԟ ן , ׸׬ δ  14

׾ֿ֣ - ӯָ ӛָ ׸׬ δ ֮ ε ֻ֟և և ã ֮ ׸׬ ׾ßָ ן ׻ֵ ֟ , ֣ - ן ׸ ( ס. . 17) ֯δ Դ ֵֻ֟ ֵ ֣-׾֌ӳ־֤ ּ ׸ פ ( ס. . 96 ) ß ִ֣ ֯δ ָ֟ δ ׮ֻ֮ ε ֻ֟և և , ָ -

Ƹ - 1 ֕ ׸׬ δ ָ -

( 1 X 16 + 16 ) / 113 + ( 1 X 3 ) / 1 = 371/113 = 3 32 / 113 ֕

ָ 7 ֕ ׸׬ δ ָ -

( 7 X 16 + 16 ) / 113 + ( 7 X 3 ) / 1 = 2501/ 113 = 22 15/ 113 ֕ >

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{ 1. ֻ߲֕ דֵ֢ ֤ߵ ׸ ּ ֕ ֻֻ֤֌׾֌ӳ ן. . 4, 6. }

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{ ׸׼ ֤ ׾֌ӳ֓ֈ ֤ ֤ ֤օ ָ׾ ֤ ꕕ ֤օ 㾾 ּ ֵ־ ָןֵ-־֤֤-ִפ׼-ӕִ֤פ׽ ֢־Ӆ ־׸ ִָ־׻ֵ֋ ꕕפ ӛֳ ־֤ פ ׾ ꕕ ׾֤ߋ ־֤ ן ע ָ ־׻ֵ֋ ꕕפ Ƹ ꤾօ ־׻ֵ֋ ꕕפ ׸ ָ ꤾ ߋ ꕕפִֵ׾פ֤ӛ׼֕߾ ד ָ ־׻ֵ֋ ꕕפ ָ ־ ׸ ꕕפִ־ֵ ֤ ꕕפ ꕕ֤֯ ָ ׾ֵ פ ֵ ּ־Ӆ ָןֵ ֟־Ӆ ־׸ ꕕפ ָןֵ פ ָןֵֻ֤ ֻ ꕕ֢֤ ָןֵ֕߾ -־֕߾ӟ ꕕ ן ? , ָӟ֕߾ӟ ״ ־ ״֓ כִ֕֕߾ִ }

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< ׮ִֵָ֮ ׸׬ ֟ ָ Οָ ֟ :- Οָ ֟ ָ ܵ֟ ֮ ֟ ӯָ ƻ ִ֮ ־֟Ԯ Ƶ ԟ ֮ δ֑֮ ׻ֵ ӓ ֮ Ƶ

ָ׮ִ㬤֟ ֤֯֟ ִ֤ݤ™ ӵִ֟ݤ™ ָ ֮ Ƶ ֮ ׾ֿ֟ ִ֤ݤ™ ӵִ֟ݤ™ ׿ ־ֻ ܵ֟־ כ ֲ ־ ֮ ׿ ֤֯ ֣ ֤֯׿ ܵ֟ ֯δ ߾ ׾ן ֤֯ ׻ֵ ָ ־ֻ ܵ֟־ ֯δ ָ׿ ָ ãׯ֟ Ƶ ֣ ־ֻ ܵ֟־ ֯δ ָ ָ ãׯ֟ Ƶ ֟ ܵ֟־ Ӳ ָ ӛ ã֟ ߾ ױ ֻ ܵ֟־ ָ ãׯ֟ ָ ֮ ܵ֟־ ׮ֻ ãִ֮ Οָ ܵ֟־ ֯δ ܵ֟ Οָ֯δ ָ ãׯ֟ , ֕ ֟ ־ٟ֟ Ƶ, , ֻ֬ ִ ֕ ָ׮ִ㬤֟ ָ ֮ Ƶ ֮ ׾ֿ֟ ֮ ֮ ã֮Ӳ֮ ׿ ܵ֟־ ֯δ ׿ ָ׮ִ㬤֟

- ָ׮ִ㬤֟ ֻ ã֮ ֻ ܵ֟ , ׻֋ ָ׮ ߾ ֮ ֮ ã֮ ־ ߾ ܵ֟ ߮ ? >

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{ ꕕ֢֤ ִִ֢֬־ ֈ ִִ֢ כ֕ӟ ֳִ־֤, ֢ ꕕֳִֵ־֤ օ ׸ָ ָ 㾾 פ, ָ ֢֤ ־֤ ן׸ָ ־׸ ӕִ֤և׽-־֤ , ָן֋ ן׸ օ ִ״֓և׼ ָןֵ-־֤ ן, ֤Ƶ׾ָƢ֤

ӕ֤ӕ֤Ӆ ־׸ ־֤ ן, ֻ֕֟ ӕִӕִ ־֤ ӕ֤ӕִָ֤ ָן֋ ֤ ֤Ӆ ׾ֵ֤֯ ָ ꕕפ ־׻ֵ֋ ꕕפ֯כօ ӕ֤ӕ֤ ˈ׾ִֵݬ֤ ӳ־ ? , ׻ֵָ߸ ׾ֈֵ֯ ׾ָפ ֤ ӕ֤ӕ֤ ׾ ָןֵָ ָ ˕פ ָ 㾾 ֹ׾֤Ӆ }

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< ִ֮֬- , ָ ֻ ߾ ־ִ ״֣֟ ֯ ֻ ߾ ܵ֟ ־ ִִֿ֌ ֻ֯δ ֵ ׿™ Ʈָ ִִֿ֌ ֯ ֻ ߾ ֵ ֟ ָ׮ִ㬤֟ ֻ ã֮ ֻ ܵ֟ , ׮ִֵ

ӯָ ׸ ׿ ָ 쌟 , , ָ׿ ά֮֟ ֤֯ ןֵՓָ׿ ά֮ ֮ ׾ֿ֟ ӵִ֟ݤ™ ã֮Ӳ֮ ֤֯ ά֮ ֣ ӵ֟ã֮Ӳ֮ ָ׮ִ㬤ִ֟ ןֵՓ ά֮ ִݴ֣֤™ ãִ֮ ָ׮ִ㬤֟ ֤֯ , ã֮ ָ ãֆ ֣ ׾ָ

ָ ӵ֟ӵ֟ ֮֮ Ƶ ֮ ׾ֿ ӵ֟ӵ֟ ֤֯ , ֵԯ ִֻ ӵִӵִ ã֮ ֵ ֟ ӵ֟ӵ֟ Ʈ ָ ֮ ָ׮ִ㬤ִ֟ Οָֹ ָ Ƶ ׵֤ ־ֻ ܵ֟־ ֹ ןֳ ָ ֮ ׿ ܵ֟־ Ƶ >

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{ 1. : ߾ã֮1 ֳ ֯׾ֵֵ֬þ״֯ιִֵ׸ֵ: ׸״ֵֵֿ ןֵԛµ, ׵ֵֵ ׵״ֵֵֿ ִָ֮㌟: ןֵԛµִ֯ߟ㓵֟, פ׾ֹ, ֡ꓵ֟: - , ֤֡֟օ ܵ֯Ζׯ֤ӛ ָ߸ ֵ׸׵ִ׮ ֟׸ ָ߸޵㌟׮, ֮µ օ ִ֯Եßֵپָ: ? ׾ָ ; ׳ֵ֯֟ ߾ã֮ ־Ԥָ֮ ־ֻ־׵Ԯ֟ ֪׾׬׸׳ֵ֯: ןֵԛ֮µ ײ֯Οӵ־׵ ־ ־ִֻß ֤ד֤֟, ܵ֯Ζׯ֤ӛ¾ßִִ֟֡׳֯Ꟶꌟ . . . 2, 49. }

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{ ִ֢ӕ֤כ ־ ׻ ע ֵ 㽸߆ ֵ ӓ֤-־ָ ֆ ׾ ֆ ָ-־֋ ן, ׾֤ ֟ ӓִֵ֤օ ֢ ׾֤ӕ֤ ֤ ־ פ, ֬, ӓ֤֬׾ֳ׾֢֤ ־ֳִ ׾֌ӳ ע ˙ ׸ִ֬ ׸ ׾֌ӳ֬ ֵ ֤ ꕕ ֤օ ꕕ֑ ֯ ֤ ד פ ־׸ ָָ߸ , Ƥֳִ ׾֌ӳ, פ֢֤ ׾ָ ꕕ֑ ִִ֟ƴד֯ֈֻӟ ָָ߸ִӟָ ߾ִ֤֯־ֽ֤ ָ߸֤-֤߾֤֯ }

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< - ӵ֟ӵ֟ ׵ִ㬤֟ ӳ־ ?

ִ֮֬ - , , ׾ָ פ ׾ε֟ ׸ָ߸ ֟

ӵ֟ӵ֟Ӵ ָ׮ִ㬤֟ ֯ ߾ָ׿ ӵ֟ӵ֟ ׿ ܵ֟־ ֯δ ָ ι ƻ ֵ δ֢ӵ֟ ã֮ ֻ ã֮ ߾ ֑֮ Ʈ ֜ ߮ ן֯δ ™ Ʈ ӓ ֓ ֮µ ֮֋ ָ ־֟ ִ , ׾֤ƴ , , ׾֤ƴ ӓ ֮ ׮ִֵ : ӓ ֓ ֮ ־ֻ ׾֤ã ӵָ֟׿ ֲ ׬ , ׻ֵ ӯָ ׿ ά֮ , , ׾֤ã ӵָ֟׿ ӓ ֮ և ֣ ׾ֳ֮־Ӳ֮ ֵ ֟ ӯָ ֵ (֮µ ) ׾ӳ , ִ֗ ׾ӳ ׸׬ ֬ ׾ ֬ ֟ ֟ ָ ܵ֟ ֮ ֟ ܵ֟ ֮ ֮ ֮ ׿ ֟ ָ ד ã֮Ӳ֮ ֮ ׾ֿ֟ ָָ߸ ן֯δ ֣ ־ ֯δ ׾ӳ , ָ߸ פþֹ ׾ָ ܵ֟ ֮ ִֵ ָ߸ ԟ ׾ӳ þã֮þã֮ ִ֮ Ʈ֯δ , , ָ ָ߸ ִָֻ ֻ֩ ד ӟ֮ ִ֮ ߾֯Τ ã֮ ֵ ֟ ָ߸ >

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{ 1. ֬ ִ : : ֬™ ןָן : ׮šօ ƻֵ

2. Ɵ֯ ֲƵֵ֯֬ ן. . 1, 22.

3. ӓֵ֓־֟ XX ן. . 4, 58.

4. ן ן ֚ : }

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{ ֟ ־ֳ־, ִݬ֤֤׻֕߾֤֯ ׾ֵƵָ֤ ֤ ִꕕפ ע ִ֢֤ ֤ ִꕕפ ן, ꕕפ ָןֵ ָ֢ ꕕ֤֤֯דӕ֤ ꤾ ָןִֵݬ֤֤ӕ֤ ֻ֤ ꕕ ן ֟֟-׾ָפ֟--ֵ }

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< ׮ ߾֯Τ ױ ָ߸ ξ , ֟ , , ָ֮֮ ִ㬤֟֟ ֻ ߾֯Τ ֣ ׳ָ֓ ֟ ֲ ִ֮ פ ָ ܵ֟־ ֯δ , ׻ֵ δ֢ӵ֟ פ ׿ֵ ָ ܵ֟־ ִ Ɵ , ֣ ֮ ܵ֟־ ֯δ ִ Ɵ ָ׮ִ㬤֟ ֮ ׻ֵ ו ™ ӵָ֟׿ ֮ ܵ֟ Οָ ֟ ֲ ־ ֟ ֕ ֟ Ƶ ָ ָ׮ִ㬤֟ ֯ ӵ֟ ߾ ֻ֮ ܵ֟ ִ Ɵ

׾ֿ֣ - δ֢ӵ֟ ã֮־֟ ߾ ָ׮ִ㬤֟Ӳ֮ ֮ ׻֋ ™ ׿ ܵ֟ Οָ ֟ : ֟ ֕ ֟ ׾֮֬ ׳ֵ֯ ӵ֟ ߾ ִ ־ԣ׬ ֵԮ ֮ ׻֋ ӟ ָ׮ִ㬤֟ ־ԣ׬ ֻ֬ 7 ֕ ֣ ӵ֟ ™ Ʈ ܵ֟ Οָ δ : ™ ָ׮ִ㬤֟ ֟ ֕ ܵ֟ Οָ ֟ ׾֮֬ ֵ ӵ֟ ™ Ʈ Οָ ָ ֟ -

500 ֮. ׾ 500/ 9 ֮,

׸׬ [((500 / 9 ) 16 + 16) / 113 ] + (500 / 9) (3/ 1) = (177644 / 1017)

ֱ (177644/ 1017 ) [ (500/ 9) (1/ 4)] = ( 88812000/ 36612) ֮

= ( 88812000 / 36612 ) ( 96 / 1) = ( 8525952000/ 36612 ) Οָ

־ ӵ֟ ׿ δ 89999997 ֮ ִ δ֢פ ã֮ ֵ֣ݵ ׿ ܵ֟־ ֯δ ׿ ָ׮ִ㬤֟ ֋ Դ ׮ֻ ֵ Ʈ Οָ ֟ ָ ܵ֟ Οָ >

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{ ׾ֵָ-ָןִֵݬ֤ Ӆ ־׸ ִݬ֤ ׾֌ӳִֵ ־ ָƕִ֯ ֵ ƻ ֤ ִݬ֤ פ ֯ֆꕕֹ ֤ ־ִ פ ּ 㾾 օ

ִ֢ӕ֤ ֟֟-׾ָפ֟֟ כ , ֤ ִꕕפ, ꕕפ ָןֵ-ִ֢ ִ֢ ӕ֤ ִ֢ ֤֯ ן ֤ƴִ ֟֟-ָןֵ֤֯ ִִ֢օ ֤ ־ ֻ ֟֟ ִִ֢Ӆ ־ִ ן ֤֯ ־ִ ִӳ־׾ָƤ ֤֟֟֯ ӳ־ ? , ִ ־ִ֤ ֤ ִֽ֤ }

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< ָ ָ׮ִ㬤֟ ֯ ִß ӵ֟ ܵ֟ Οָ ֟ ֟ ֕ , ֲ ןֵ ֮ ֟־ ֯δ ֟֯Οָδ : ָ׮ ִ㬤֟ ָ ܵ֟־ ֯δ ֣ ֮µֻ 45 1 ֮ : ӵ֟ ָ׮ ֮µֻ ܵ֟ ֬

ָ þã֮þã֮ , ׾ָ֟þã֮, ꤮, ֵ, ׵, ָ ָ׮ִ㬤֟־ֻ ߾ օ ֮ ׾ֿ֟ ִ㬤֟ ֮֯δ ׾ӳ ָ ֮֯δ ִֵ ָïָ 擵 ܵ֟־ ֯δ ƻ ֟ ָ ִ㬤֟ ݵ ܵ֟ ֟ ָ ִ㬤֟ ־ ӯָ ־֟Ԯ ƻ ִ֮ ֮֮ Ƶ

þã֮þã֮ ׾ָ֟þãֹ֮ ׸֟ δ֢ӵ֟ ߾ ֮ ִ Ɵ ? ִֻ֮ פ ָ ܵ֟־ ֯δ ִ Ɵ ֮ ܵ֟־ ֯δ ִ Ɵ ָ׮㬤֟ ֯ δ֢ӵ֟ ָ׮ִ㬤֟ ֯ δֵ֟֟ ִ֮ δ֟ӵ֟ ãִ֮ ߮ ã֮ ã֮ ִֿ ָ ã֮־֟ ִֿ ߾ þã֮þã֮ ָ׮ִ㬤֟ ֤ þã֮þã֮ ָ׮ִ㬤֟֟ δ֟ӵ֟ ִ֮ ֯ ָ ã֮־֟ ֯ ֻ ߾ þã֮þã֮ δ֟ӵ֟ þã֮þã֮ ִ֮ ֯ ִֿ ߾ ã֮ ן׸ ã֮

- , ָ ־ Ɵ ֯ ִֿ ߾ þã֮þã֮ ִ ֤ ӳ־ ? >

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{ ֻ֕ כ , ꕕפ, ꕕ , ־ֻ 4

֕׻ ֟֟-׾ָפ֟ ֳִ֢ ӛ֤ ֻ כ , ֈ ִꕕפ, և֤ ꕕפ ? ˚ִָ֤ ֻ פ ־ֳִ ׾֌ӳ 12 עֆ פ ׸ ֢֟ ӓֈפ-֤ 37 (95/113) ׾֌ӳ֓ֈ ֤ Ư֤ ן ָ֓ ֤ ӛ פ }

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< ִ֮֬- , , ו֮ ã֮Ӵ ָ ־ ֵ ֟ ָ ӯָ ԟ ֯ ִֿ ã֮Ӵ ãִ֮֡ ֵ

ֵֻ ߾ ֮ ִ Ɵ ? ܵ֟־ ֯δ ִ ־ ܵ֟ ֯δ ִ ־ ־Ի Ɵ 4

ӯָ ֵֻ þã֮þã֮ ׾ָ֟þã֮ δ֢ӵ֟ þã֮þã֮ ׾ָ֟þã֮ ִ֮ ӛִ㬤֟ ֯ ֻ ߾ ֮ ִ Ɵ ? ִֻ֮ פ ָ ܵ֟־ ֯δ ִ ևԫ߯Ӳ֮ ܵ֟ ִ Ɵ

- ӛִ㬤֟ ֯ ׻ֵ ӳ־

ִ֮֬ - ™ Ʈ ㌟ ׻ֵ ֚ δ ԟ ָ δ ׾ӳ ׸׬ ӓ֮־ ֯δ 37 (95/ 113) ׾ӳ ָ ߮ ֟ ָ ֹ ָ Ӳ ָ Οָ ֕ ֟ ָ ӛ δ ֟ ֻ ӛ δ օ

Ƹ - 12 , ֋ ֟ 14 ָ ׸׬

δ (12 16 + 16) / 113 + (36/ 1) = ( 4276 / 113 ) = 37 (95 / 113)

ֱ - ( 4276/ 113) (12 / 4) ( ֟ ) = ( 12828 / 113 ) Οָ

֋ ӛִ㬤֟֟ ֻ ֯δ = (12828 / 113) 14 ֕ >

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{ ꕕֹ ֵ ֤ Ƥ ִꕕפ ֓פ ֻ Ƥ ꕕ ֓ןօ ־׸ ׻ֵ ӛִݬ֤֤׻ ׾֌ӳ 㾾׾֌ӳ֤ ן פ ִִӤ 36 ׸ˆ ָ֤ ֢־ ָ֤ 113 (27 / 113) 㾾 ֛֤ ֻ כ , ן ִꕕפ, (ן׸- }

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< ׾ֿ֣ - ӯָ ӛִ㬤֟ δ ֻ ™ Ʈ 108 δ ֵֻ֟ ֻ ™ Ʈ 525 ֮ δ և δ 500 , ׻ֵ 525 ֮ δ ( 525 96 )/ 500 = 100 (4/ 5) ֟Դ֮ ִ ׾֤ ӵָ֟׿ ά֮ ֋ פ ׾ִ֤֮ Ʈ ֵ, (500 96) / 500 = 96 δ 108 δ ֮ (108 + 500) / 96 = 562 (1/ 2) 525 ֮ δ ֜ ֟ ִ ָ ׾ָ֓ߵ

֣ ִ㬤֟ ֻ ܵ֟ ׻ֵ ӛ δ ֮ ׻ֵ ܵ֟ ֟ Ӆ ָ ֮ ׿ δ ִֻ֮ פ ָ ו֟ ָ ָ Ӵ Ο ܵ֟־ ֯δ ӛ ֟ ֣ ӛ ֻ֮ ו֟ ָ ܵ֟ ֮ ֲ ֟ ֮ ׾ֿ֟ ֻ֮ ӛִ㬤֟ ֯ ֻ ׾ӳ ƻ ָ ֯δ ׾ӳ ן δ 36 ׸׬ ֢և ֯δ 113 (27/ 113)

Ƹ - 36, ֋ ֣ . 14 ָ ׸׬ δ

[ (36 16 + 16) / 113 ] + (108 / 1) = 113 (27 / 113)

֮ ִ֮

ִ֙㬤֟ ֯ ֻ ֮ ִ Ɵ ? ִֻ֮ פ ߮ ܵ֟־ ֯δ ִ, ןֵݻ ܵ֟־ ֯δ ִ ևԫ߯ ܵ֟ ִ Ɵ ӯָ ִֵ㬤֟ ֯ ֻ ֮ ׾֮֬ Ɵ - >

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{ ꕕפ,) և֤ ꕕ ֛֤׻ ֵ׾ 㓓֤- ֻ 㾾ƴ ָƴ ִݬ֤ ӟ פ ׻ֵ ִݑ֤ פ, ֛ƻ ןօ և ֈ ֛ פ, ֲָƻ ֛ פ ֟ ־ 㾾ƴ׻ ֵ֛ ִ ִֵָ ָ֢׾֌ӳ ֲƻ ׾ֵ ֕ ׸ ׾פ ׾֤ Ƣ׸ֲƻ ֤֯ פ ֈ ׽׻֛ ֈֲƻ פ ָƴ ׻ֵ ִݬ֤֤׻֛ ֲƻ ֤֯ פ ָ 12 ֲָƻ, ֋ ׾ ןֳ֢־օ ֵ ן ִ ߸ ִꕕפ, ן׸ֻ ꕕפ, և֤ ꕕ פ

ָ֤ ֻ כ , ꕕ ꕕפ ֵֹֻ֤ ֲ פ ע }

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< ֻ ו֮ ׳ִ ־ ָ׳ִ ִ㬤֟ פ ֻ֮ ִ㬤֟ ֙ ƻ פ ֵ ִ֙㬤֟ ָ ֯δ ƻ־ֻ ִ֙㬤֟ ִ ƻ ׳ִ ֻ ֙ ֮ ׾׬ ֮ ָ ֕ Ӳ, ֟ ֕ ãׯ֟ ֕ ӲևԴ ߓִ ֟ ֕ ָ ה ָ ָ ãׯ֟ ָ Ƣָ ֟֯Οָ ֟ ֵ ׳ִ ã֟ ֻ ֙ ֟˯Οָ ָ׳ִ ֻ֮ ִ㬤֟ ֯ ֻ ֙ ֟֯Οָδ ֣ ָ ԟ ָ׳ִ ֵ ִ㬤֟ ֻ ֻ ֙ ָ ֟֯Οָδ Ӳ , ꤮ִ㬤֟ ߾ Τ ן ֵԌ ִ֙㬤֟֟ ֻ ׿δ ִֻ֮ פ ߮ δֹ ָ ߮ Ο ܵ֟־ ֯δ ןֵݻ ܵ֟־ ֯δ ևԫ߯ ܵ֟

Οִָ㬤֟ ֯ ֻ ו֮ ֮ ִ Ɵ ? ܵ֟ ֯δ ִ Ɵ ܵ֟־ ֯δ ֟־ֵֻ Ɵ , ֮ ׳ֵ֯ ֻ֮ δ >

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{ פ ִֻ֯ ָֻן֤ 343 ָ ִ֯ ־פָ֤ 196 ִ֯ ָֻ֢֤ 147 ִֵ֯ -

֕ Ƥפ֤Ӆ

֤ ꕕ פӚ״ 15

פ ֋ 㓓֤ - פ ׾ָ֟ ֕ פִ֕֯ӓָ , ֤Ӆ פִƹӬִ֯, Ƥ פִ֕ ֤, ׸ ִ, פ֤ ־ ֤ , פֱ פ

-Ɵִֻֆ օ

֤ ꕕ ך 16

ߋ ֋ ֑֤ꕕ

2ӯפ ֯ӟ׽ֵֵֹֻ֤׾֬ 㓓֤- ֻ ן ֤ ƻ ֤ ִ֕ ־ִ֙˚ }

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< ߮ ֻ 343 ָ֮֕ δ ֮־ 196 ָ֮֕ Ի δ ֻ 147 ָ֮֕ Ի δ ֮ ׻ֵ ߓ ֣ ֟ -

δ ֬ δ ֟ ֲ ־ ִ δ ֬ : ֟ ָ ִ ֱ֮ ֮ ֟ ֮֮ Ƶꅅ15

֣ Ɵ - ԟ 㬮׾ßָ ֬׾ßָ ӓ ֕ ֣ ֟ ֵ֟ ԟ ָ ׾ßָ δ ֬׾ßָ ӓ ֕ Ɵ ԟ ㌟ , ֬ ֬ ִ ָ֮ ֟ ָ ֱ֮ ( ׾ֿ֣ š 21)

δ ֳֻ δ ֬ : ֟ ֟ Ӆ ֮ ָֻ ִ ֱ֮ ֮ ε ֮֮ Ƶ 16

֣ ֮֟ ֮ Ƶ >

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{ 1. ן ֤ ן ֚ :

2. ָ֮ ֟־ֵֻ֯ι:β֮áֻΖ֯: Σִ׬ָ֟ ֲ: ִ֮: }

--------------------------------

{ ׽ֲƻ ֤֯ 1 ־׸ ׾ ӟ ׽֕Ư׸ ֕ꋤ ׽ֲƻ ֤֯״פ ׯֵ ֓ ꤾ־ 60000 ָ ִֵָ֢ ׼ ֲƻ ׾ ׽֤ 㬤ߋ ִ֤֯ ֬ Ƶֻ֕֌ ֲֳ֢ƻ ֤֯ פ 120000 /7 2 }

--------------------------------

< ֵԮ ִ ã֟ ֟־ֵֻ ֮ ׾׬ ֻ֟֟ - ֳִֻ ߮ ֵ Ο ֵ ƻ ƕָ ֮ δ ֲ ƻ ס֟ ָ ֚ ƕָ ֮ ƻ֯δ ֟֯Οָ ֮ ׾ֿ֟ ׿ִ ֿԳ ֚ ƕָ ֮ և ׮ֹ ֵԌ ׮ֹ ױ ֮ ֚ ƕָ ֮ ֟֯Οָδ ה ãׯ֟ Ƶ

Ƹ- ֳֻ 7 ֕ ִ 7 ֕ , ֋ ֱ ֟֯Οָδ օ ֳִֻ Ο ֟־ֵֻ 20,000 ƕָ ֮ , ׻ֵ ߮ ֟־ֵֻ և 60000 ֮ ֟֯Οָ ֟ ָ ֚ ƕָ ֮ ו֮֟ Τ ֮ ֟֯Οָ ֲ ֟ ֳֻ ֹ֟ ֱ֮

: ֕ ֹ, ֟ ֕ ִֵֹ ֚ ƕָ ֮ ƻֹ ָ ִ֮ ֿԳ ã֟ ֟ ׬ ֟˯Οָδ ׮ֲ֬ ָ ƕָ ֮ ֟־ ƻ֯δ ֟֯Οָ

Ƹ- ֳֻ ָ ֕δ ֟־ֵֻ ֱ֮ - ָ ׿ִ֟ Ο פִ ֟߯δ Ӳ, 1 ֕ ߮ ֟־ֵֻ ƻ 60000 ֮, פֆ ֵ 120000 ֮ δִ ֟ ָ 1714 (6/ 7) ֮ ֲ ֟ ևԴ ֕ ãִ֮ ֟ δ ֟ ֋ 1714 (6/ 7) ֮ ו֮֟ Τ ֮ ֟֯Οָδ ָ ִ ֳֻ ֕ ֟ ֟־ֵֹֻ ֱ֮ >

--------------------------------

{ 1. ֻ֟ ֵ֤ ƻ ׼ לכ֤ ӓ ֈֱ ס. . 127.

2. ָ ߤƸ ƾ ߅ ך˙ ִ֢פ㾾 ָ ֳ֤֯֟ ׼ Ӆ ׾ֵ֤֯ ֤ 㾾 ָ ס. . 128, 129. }

--------------------------------

{ ׾ֻ׸ ׾֤ ֻ֕Ƶ ӓ ֌ ֲֳ֢ƻ ֤֯ פ (540000/ 7) ָ פ ָ ֻ ִֵָ֢ ֳ֢Ƶ֔Ӥ ׽ֲƻ ׽ֵֻ֤ ִ֤֯ ֕Ƶ֯ӓ־ӓֻ֕֌ ֻ-ןֲ֤ƻ ֤֯ פ (5520000/ 343) ׾ֻ׸ ׌֢ ־ֻ֌-פ֕Ƶ-ן ֻ֤ -ן֤ ֤ƻ ֤֯ פ 31980000 / 343 ָ֢׾֌ӳ-Ƹִֵ }

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< ֱ֮ ƻ ֳֻ ֱֹ֮ ֵ ִ ״ֻ ָ ӓ ֻ ƕָ ֮ ֟־ ֯δ ƻֹ ֟֯Οָ

Ƹ - 60000 + ( 120000 /7) = ( 540000 / 7) ֮ ֟֯Οָ

: ָ ԟ ׿ִ פֆ ֳֻ ֕ ֳִֻ ֟ ֕ Ӳ ֕ ָ ִ ֕ ֟־ ׬ ֕ Ӳ ֚ ƕָ ֮ ƻֹ ã֟ ֟־ֵֻ ֟֯Οָδ ָ ֓־֮ ƕָ ֮ ߮ ֻ־ ֯δ ƻֹ ֟֯Οָ

Ƹ -(49/ 7) + (43/ 7) = (92/ 7); (92/ 7) (2/1) = (92/14) ; (92/14)(2/1) = (92/7);

(92/7) 60000 = (5520000/ 7) ֟֯Οָδ ׻ֵ 49 ָ 5520000 / 343 ֮ ו֮֟ Τ ֮ ֟˯Οָ ֲ ֟ ׿ִ ֳֻ ֕ ֹ֟ ֱ֮

쌟 ֱֹ֮ ֵ ִ ״ֻ ָ ߮ ƕָ ֮ ߮ ֻ־ ֯δ ƻֹ ֟֯Οָ

Ƹ - (540000/ 7) + (5520000/ 343) = (31980000/ 343) ֮ ֟˯Οָ >

--------------------------------

{ 1. ִƴ״־ ִ֟֔ օ ׼ ִ֢פ׌ָꅅ ֤֯ Ƥ ֈפ ִ֑ӳו֤ ֵ֯״ ס. . 130, 131.

2. ִִֵ֕־ִ 㾾־ָֻ֕ ִ֢֤ ן׸ֻ ע ־֤ ֓ֈ֤֤֯Ӆ ֵפӕ֤ ֤ ֻ֤Ӆ ס..132, 133. }

--------------------------------

{ ƾָ-ƾָƕֲƻ ׾ ׽֤ ִ֤֯ ֈ׽֤-ָ֕ ֻ-ןֲ֤ƻ ֤֯ ֕פ 17836/343 ֳ֢Ƶ-׾֌ӳ ָ -ָƕֲƻ ׾ ׽֤ ֤֯ ֻ֤֤֕ ֻ-ןֲ֤ƻ ֤֯ פ 4200 /343 ֯ӓ-ָ׾֌ӳ ָ֢֬ ָ--ָƕֲƻ ׸֤ ׾ ׽ ִ֤֯ פִƵ- }

--------------------------------

< : ָ ִ ׿ִ֟ ֟ ֕ ׾ӳֹ. ֟־ ף־ ֳֻ ֮֟ ֕ ִֵֹ , ָ Ի , ָ ֮ ƻֹ ֿԳ ã֟ ֟ ֟֯Οָ ָ ֚ ֮ ָ ƕָ ֮ ߮ ֻ־ ֯δ ƻֹ ֟˯Οָ

Ƹ- 13 7 = 91 ; 91 14 = 1274; 1274 2 = 2548 ֟֯Οָ ׻ֵ ֟ ߮ ֻ , ֲ 17836 / 343 ֮ ֟˯Οָ ֟ ָ ִ ֟־ ף־ ֮֟ ֹ֟ ֱ֮

: ׿ִ פִ ֟־ ף־ ֕ ֟־ ׬ ֕δ ִ ׾ӳֹ ֕ ֹ, ֻ֬ ֕ ֹ , ָ ֮֯δ ƻֹ ִ ã֟ ֟ ֟˯Οָδ ָ ֻ ֮ ߮ ֻ־ ֯δ ƻֹ ֟˯Οָ

Ƹ - (43/ 7) + (7/ 7) = (50/ 7) ; (50/7) (2/ 1) =(50/14) ; (50/ 14) (2/ 1) =(50/ 7);

(50/ 7) 14 = (700/ 7) ; ( 700/ 7) 6 = (4200/ 7); ֟֯Οָ ָ 49 4200 / 343 ֮ ו֮֟ Τ ֮ ֟˯Οָ ֲ ֟ ׿ִ ֟־ ף־ ֻ֬ ֵ ֱ֮ >

{ 1. ִ֢֔ օ ִ֢ן׸ ע ׌ָ֢߅ ֱֻ֟ ֵ ݴ ֤֯ ֵ֕ ֤ ׾ֳ֟ ֢֤ ס. . 134, 135 }

--------------------------------

{ ӓ֤֕ ־ӓֲֳƻ ֤֯ 588/49 1 ׸ ׾֌ӳ ִֵָ֢ ֲ֕ƻ ׽ ֤ ִ֤֯ ן- ָ-ן֤ -׾֤-ֲֳֻƻ ֤֯ פ 303/ 2240 2 ֤ ־ִ֟ ׾֤ ֈכִƵ߆ ־ֻ֌֟פ-֤֤-֢ߤ ־-ֵ֢-׼Ƶֻ֌֋ Ƥֲֳƻ ֤֯ פ 10241983487 / 1097603 ֤ ֻ״ }

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< : ֻ֬ ֕ ɻ ӓ ֕ ִ֮ ֕ ׾ӳ ֟ ֕ ֹ ֣, ָ , ָ ֮֯δ ƻֹ Ի ׿ִ ֿ ã֟ ֟ ֟֯Οָδ ָ ӓ ֮ ֓־ ƻֹ ֟˯Οָ

Ƹ - 5 + 1 = 6; 6 2 = 3; 3 7 = 21; 21 2 = 42; 42 14 = 588 ֟˯Οָδ ָ 49 588/ 49 ֮ ו֮֟ Τ ֮ ֟˯Οָ ֲ ֟ Ի ׿ִ פֆ ֹ֟ ֱ֮

׸ ִ ֕ ׾ӳֹ, ֟ ֕ ִֵֹ, ֮ ƻֹ ã֟ ֟ ֟˯Οָδ ָ ߮ ߮ ֮ ƕָ ֻ־ ֯δ ƻֹ ֟˯Οָ |

Ƹ - 1 7 (303/320) (7/1) = (303/2240) γ ֹ֟ ֱ֮

־ ֱ֮ ס֟ ָ ƕָ ƕָ ָ ֢ ֮Ӵ ƕָ ֟ ֚ ָ ֲ ־ ֮ ֮֯δ ƻֹ ֟˯Οָ

Ƹ - (31980000/ 344) + (17836/ 344)+ (4200/343)+ (588/49)+ (303/2240) = (10241983487 / 109760) ֮ ƻֹ ֟˯Οָ ָ ֹ֟ ֱ֮ >

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{ 1. ֈ ִ־ ִ ן -ָ ִӤ ֤ ־ ӓ׼ָ ִ ׾ֵ֢ӵ ֈ֤ ֱ ׌ָ ס. . 136, 137.

2. 㤵ֳ ֕־ן֤ӛ ןן֤ ִִֹ֯׸ ӛ։ ס. 138.

3. ֟פ֤֤֟פ֌ֈ־ ֈƵ כֵ ֤֯ ֙˚֟֋ ־ֵֻ֌ֳוֵ ־ ֹ֤ ֵ ִ ס. . 139-140. }

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{ ֤ ֤֤׻ ֻ פ ֤֤׻ִִ֬֯ ֤㲳 פ ֵօ ִ֯ ןֳ פօ

֤֯ ֻ כ , ־ֻ

֤ פ֤ ָ֤ߋ 긇 ״֓և׼כ ־ ӕִ֤և׼ ן כ , ꕕפ 5 }

--------------------------------

< ֹ֟ ֻ֮ ֙ ָ Οִָ㬤֟ ֯ ֻ δ Οִָ㬤 ֯ ֻ δֹ ָ ׬ δ ֣ Ի δֹ ָ Ի ָ ׬ Իδ

׾ֿ֣- ֟ ו֮֟ Τ ֮ ֟˯Οָδ ־Ի ִ 10241983487 / 109760 ֮֯δ ֟˯Οָ ֙ ָ Οִָ㬤֟ ֯ ֻ δ 196 ָ֮֕ , ׻ֵ פ δֹ ֵ δ 392 ָ֮֕ 1024198347 / 109760 ֮֯δ ֟˯Οָ ׬ ֯δ 49 ָ֮֕ ֙ ָ Οִָ㬤֟ ֯ ֻ ֟ Ի δ 147 ָ֮֕ , ׻ֵ פ Ի δֹ ֵ Ի ןև ָ֮֕ 49 10241983487 / 109760 ֮֯δ ֟˯Οָ ֙ ו֮֟ Ի δ 294 ָ֮֕ ָ Οִָ㬤֟ ֯ ֻ ֟

ִ㬤֟ ֯ ֻ ־֮ ֮ ִ Ɵ ? ־ Ɵ

֤ ֤֮֟ ָןִ ָӴ ״֣֤™ ã֮ ӵִ֟ݤ™ ã֮ Ο ã֮ ߾ ֮ ִ Ɵ ? ܵ֟־ ֯δ ִ Ɵ 5 >

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{ 1. ֤֮֟ ָ֟ ־ ף־ ָ ֟ ã֮ õֳܵ : . , 1, 8. }

--------------------------------

{ ֤ ֯כֱӅ פ״פפכƱӅ ֤ ׼ֱֹ֯ ָפ֧ פפכֱ 긇 ע ֵ ֟֟֯׾ևפכֱ ꕕפ פ ֻ פ? , - ִ֢֤

ӯפ ֟֟-׾ָפ֟--ֵ-׾ִֵˬ֤֤״֓և˚ כ , ֤ ִꕕפ , և֤ ꕕ ֆֹּ֯꟣ 㓓֤ -֜֋ 㜾ߋ ֛֜֯֟״ 긇ִ ן Ɵօ ƴ֛֯֟ ֢ ן Ɵ 긇ִ פ

-״׾״ Ƴו֤״ ƾ ֛˜

֛˜ ֤ Ƥ פ 17 }

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< ִ ֤ ֡ ן ן ֤ Ʈ ׮פ ן ֤ ֤ ι ָן ֤ ׮֤ ן פ ן ָӴ ָ ֮֓ ִ Ʈֻ ף־׵ פ ן

- ܵ֟־ ִ Ɵ , ֻ ֮ Ʈָ ?

ִ֮֬- , , ïֿԮ ָ֫ ִֿ , ׻ֵ ܵ֟־ ִ Ɵ ֮ ֤ Ʈ ֟

׾ֿ ֤ ״֣֤™ ָ Ɵ - þã֮þã֮, ׾ָ֟þã֮, ꤮ִ㬤֟, ִֵ㬤֟ ׵ִ㬤֟ ֯ ״֣֤™ ָ ߾ ֮ ִ Ɵ ?

ִֻ֮ פ ָ ܵ֟־ ֯δ ִ Ɵ ևԫ߯֯δ ֻ֮ ܵ֟ ִ Ɵ ι ׻ֵ ӯָ ָ ߮ ֣ ƾ ֣֛ ֟ ֮, ߮ ֣ ָ

״ִ ֙ ָ ֲ ־ ׬ δ ו ֙ ָ δ ֮ ֮ >

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{ 1. ֢-ע-ӛ-Ɵ ƾן ִ֋ ׸״֤״ ן. . 2, 217.

ִ֯֋ 㜾ߋ 긇 x X ָ߸ XXX ֢ ן ߆ և ߾״. 3, 2, 12. }

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{ ߋ ֋ ֋ָ֛֯֟긇ִ ־ ִִӤ-

ßָ

1

2

3

4

5

6

7

8

9

10

11

12

13

֮

0

1

1

2

3

3

4

4

5

6

6

7

7

ß

3

1

2

2

0

2

1

3

1

0

2

0

3

0

8/12

17

1/12

10

18/12

3

11/12

20

4/12

13

21/12

6

}

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< ׬ ֟ δ ד ֣֛ ָ ִ֮֗ Ƶ 17

׾ֿ֣ - ֪ׯ ׫ߵפ ָ Σִפ ָ ׮ִ ֙ ָ ֟ , ָ Σִ ָ ƻ ֣֛ ָ օ ֋ ֣ ׮ִֵָ֮ ƻ ָ ƻ ֣֛ ָ ׮ֻ ƻ ָ ֤ δ 12 ָ ו֮֟ ֣֛ ֮ ֤ δ օ ƻ ָ ָ ֣֛ ƻ ׮ִ ֣֛ ָƾ ֮ ֵօ

Ƹ- Σִ ָ δ 3 ֣ ״ δ 7 ֮, 3 ֣, 6 ִ֮ 4 ֣ ִ֣ 24 δ ָ 324=72 ֣ ״ 7 4 + 3 24 + 6 = 750 ָ֣֮ ε ָ 750 - 72 = (678/ 72) = 56 (1/2) . = (113/ 2) = 2 ֣ 8 (1/ 2) , Σִ ף־ ן-ִ֙ ׬ δ

פ ƴ Σִ ָ ӓ־ ֙ δ ׮ֻ֮ 쌟 ׮ִֵָ֮ 56(1/ 2) 4 ֟ Σִ ֙ δ ִ Ƶ (113/ 2) 4 + 72 = 226 + 72 = 298 . = 3 . 10 . Σִ ף־ ӓ־ ֙ ָ δ

쌟 ֣ ׮ִֵָ֮ ƻ ָ Ƹ ƾ ֣֛ ן׸ ݵָ ֣֛ ָ ֮ Ƶ Ʈֆ δ -( ). >

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{ 1. ן ִֻ ׮Ɵ: ßָפ֤׮օ ׮ ֣ô״ : ־ ו֟׮օ

2. ֯Ư㟣ߋ ߴӟִ֛֯״ ߾ Ɵןֵ ־֛˜߆ ֤ ӟ Ƶ ֬Ƥ״ ֵ֓օ Ƥ פ㬤 ֵֵ֤֯ ֵ֓ ִ ִ֋ ן Ɵև ֳ ׾Ƣ Ɵ ָ֢֤ ָ״օ ֤ӛ ןֵƟ ָ֢ ֋ Ӥӛ Ɵ ӟ״ פ פ ӟ ӛןֵ ןֵ ӛ Ɵ ָ ־֬ ӴӟִևӤֈ }

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