ִƵָ ֤׾ ״֢

Ԥ֤ ӓ֬ ׸־ ָ״ ֤ ֤ ֻ עֳ ן ִ׼ Ƶ֯֌ֹƤ֬֓פ ־ ӓ֬ ꤾ - ֻ עֳ ׾ָ׻ֵ ִӛ ֤ פ כ ִֹּ֯ ־פ Ƶ֯֌ֹ ֵ (֯ן֚֯ꃵִ -֯Ο: Ƶ ֢ ִֹ־ֵ ן ֚: צ Ο Ƶ֯֌ ן ֚:) ߸ ָ֛˜ ߸ - Ƶ֯֌ֹ ֹ֬׸׼ ׾ָ׻ֵ ׸֋ֹ֬׸ ִӛ ֤ פ Ƶ֯֌ֹ ־ן ִ ׸-־ֹ֬׸ ֤ ֤ ִ֬ פ ֤ ִ֯- ߸ ׽׾ִָ פ ֌ֻ (-֯Ο: ֌ֻ, ֯Ο ֌ֻ ן ֚:) ֲפ ֲֻעֳ ֳִ ע ߸ ꤴִ־ꤾ ֤ ׸ Ƶ֯֌ֹ ֬ פ Ƥ ׽֔ ֲֻעֳ ָ פ ֤ ꟣㯯 (צ Ο ן ֚:) ע ־֤ ֻ-

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< ִ֮ ֬ פֻ֮ Ƶ ָ ָ Կֻֆ סֳ ׮ ־ןԟ ָ ׬ Ɵ ֲ ֟ ־, ָ ֮ Ƶ ֣-- Կֻֆ סֳ ׾ָ֮ ׮ ִޛ ָ Ο ן ־֟Ԯ δ ֯ >

< ׬ ֵ֮֮ ָ ָ ׬ ֟ ָ - ׬ ֬׸ ׿ ־ןԟ ߓ ׾ָ׻֟ ׸ ֬׸ ׿ ִޛ ָ ׬ ֯ : δ ָ ֲ ӯָ ׿ֵӴ ָ ֵ֮֮ ֲ δ ױ ֵ δ ָ ß֮ ׾ָ֮ ֡ פ ֻֿ ֯ Կֻֆ סֳӴ ֮ ֵֻֿ ֯ , ָ ִֵ ֡ Ƶ ָ ָ ߓ ָ ׬ ֲ ָ ß֮ Կֻֆ סֳ ָ ָ ֟ ָ ֮ , ֟ ׻ֵ Կֻֆ סֳ ָ >

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ӛִ ӛ

Բעֳ ׸ ׾ֻӓ֬ ׌֢ ָ פ ׌֢ -Ƶ ֌ֹ ֤ӓ֬ ׾פ (֯ן֚֯sִօ ֯Ο: ׸פ ן ֚:) ־ ׾ֽ־֤ ֓ ꤾ Ƶ֯֌ֹ ֤ ָ ָפ ֯֌- ָ ֤ ֤֬ פ ׽֔ꤳ椻֬ ׾ָ׻ֵ ֬֬ ִ-ӛ ֤ פ ־פ ָֹ֤ ׾ ִӛ ֤ פ ֬ ֹ ӛ ӛ ־פ ׸-֔ ֤ ׾֤ ׸ ֻ֬ ֳָƵֻ֬ כ פ ־ֹ֬׸ 㾾֯׾ֽ־֤ עֵ״פ ֤ ֹּ ׸ Ƶ֯֌ֹ ֲֳָƵֻ֬ ָ-ִֹ֕ ׽ ־ֹ֬׸ ִ֕ פ (Ο ן ֚:) ֬ כ ֹ֬׸׸ ִ֕ פ ֹ-׸ ׸֔ ߸ ֹּ ˚׸ ֵ Ƶ֯֌ ֤ ׾ֽ־֤ ױפ ֤ ׯ ׼ִ ׽-׸-׸ֻ֬ ֤ ˬֹ ֹּ כ ֳֵ-

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< Ԍ ָ ָ ָ ָ ׬ ֟ ׾™ ׾™ ־ ߔ Ƶ ׬ Ӵ ָ ָ ֡ ָ ֟ ָ ֲ ֬ ß֮ ꤳ ֲ ׾ָ֮ ֲ ִޛ ָ ֯ ֿ֟ ֵ ָ δ ִޛ ָ ֲ ָ ޛ ޛ ֯ ױ ֣ ִ֓ ״ָֻ֮ ߓ ָ ֲ ָ ׬ ֲ ן ã֟ ִß ֬׸ ׿ֵӴ ׾™ ־ ֮ , ָ֮ ָ ߓ ־֟Ԯ , ָ ׬ ָ ޵ þֹ ã֟ ָ ׬ ֲ; ֲ ֬׸Ӵ ֮ߵִ֮ ֲ ޛ ָ ֬׸ ׿ ָ ֮ߵִ֮ : ֬׸ ִ֓ ִֵ ־֟Ԯ ߓ ָ ֟ ׬ ָ ׾™ ־ ױ ֟ ־֟Ԯ ִֵ ß֮ ׸-׸ ֲ >

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ִƵָ ֤׾ ״֢

ֲָƵֻ֬ӛ (ן ӛ ן ֚:) כ ־ן ֲֻעֳִ׸ ׌֢ ָ פ ׽פָ עִֵ֬ כ ֤ˬ֤ ָ פ ע ׽פ׻ִֻ֤ ׻ִ֤־ֻ עֳ ֵ ִ׼ ֤ˬ״ ֌ֹ ֤ כ פ ֵ֤֙˚ ָ״ ӓֹ֬֌ 㾾 ֵ־

ӯ׬ ֹ֜㯯֬ , ״ ׻ִ֤ ָ ֤ ִ֬ ״פ ֤- 㯯֤֬ ꕕ֯׻֤- ִײפ־ִִ֤֯ ׻ֳִִָ֤ꕕ, ꕕ֯׻֤- ִ֯֜־ִִ֢֤֯ ־ָ֤ ׻ֳִ֤Ƹˬ֤ (֯Ο ָ - ן ֚:) 㯯֤ˬִꕕ, ꕕײפ־ִ֢ ִ֬ ֳ־ ׾ ӟָ-ָӟָָֽ ֳꤢ֤ ߋ - ׽ָ ֯׸ꕕִ ֤ ֬ ֌ֹ ִ ?

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

< ָ ־֟Ԯ ޛ ָ ׬ ֲ ֡ ޛ Ο ן ֯ Կֻֆ סֳ ָ ָ ָ ãן ָ ֮ ֮ Ӭ ֵ ָ , 攮ָ ָ ãן ִֻֻֿֆ ִֻ Կֻֆ סֳ ֟ ׮ ־ןԟ ֲִ ָ ׾־֟ ֮ ׻ֵ ָ Գ ƻ ִ֮ Ƶ >

< Σִ ꟯֮ ֮ , ־ ו ִ֮ ִֻ ָ ֮ ? 攮ָ ָ - ܵ֟ ִֻ ׫ߵ Դ ֲָָ ꟯֮ ֮ ִֻ ָ ֮ ܵ֟ , , ܵ֟ ִֻ Σִ Դ ֲָָ ָ ֮־ָפ ꟯֮ ֮ ֳִָֻ ֮ ܵ֟ , , ܵ֟ ׫ߵ Դ þֹ ֮Ӵ ָ ָ֮-׮ָָ ã֮ ָ ִ ֵ δ ׮ ־ã֟ ָ ֑֮ ָߟܵ֟ ֲָָ ֟ >

< - ֲ δ ֮ ? >

< ִ֮֬- ֑֮ ָߟܵ֟ ׮ֆִ֮ ָ ֲ ֮ ֡ >

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ӛִ ӛ

Ԥ ֯׸ꕕ־ ֆ Ƥ ֻ֬ ֌ֹ ן ־׽ָ ִ֤֯ ֤ ֌ֹ ִ ? ֆ ֢פֳ ֌ֹ ־׽ָ ִ ֤ ֌ֹ ִ ߋ ֳ ־׽ָ ִֹ ֤ ֌ֹ ִ֤ ן פ״ ׌֢ פ-߆ ן ׸ֳָ ׼ ֲָ֟ פӓֵ ָ פ

ӯ׬ ִֵƵִ׸ ל ֲִֵ֬֯֬ӓֵ ӓ- (ן ӓֹ ן ֚:) ָ֟ ָ פ - (ן¾֟: ־ָߵ ׾ָ׻ֵ ׾׸ ׬: ֚: ֯֟ ) ֲָ֟ ׾ָ ִ-ֲ֯֬ ִӛ ׸ פ ׸֤ ־פ ׸֓׸ 18 ׸֤ Ƥ ֻ֬

50

9

(ן 50 ן ֚:) 㾾׾ָ֋ ׾ָ ׸֋ֹ֬׸ ִӛ ׸ פ ׾ָ-ֹ כ ׸֓׸ ־פ ֹ֬׸ ׸׾ָ֋ ֹ֬׸׸֤״ ׾֤ דִ֯

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< -- ־ã֟ ָ ָ δ ָ δ ֮ ? >

< ִ֮֬- ִֵ ׮ֆ֮ ֢־ ֡ >

< ־ã֟ ָ δ ָ δ ׮ ֚ ֡ ־ã֟ ָ δ ֡ ָ ׮ ׫ߵ δ ׾־֟ ִ֮ ״ֻ-ָ ׮ֵ ָ ָ ׮ָ ־ןԟ ָ ꮵֳß ׿ ӓֵ ָ >

< ִֵ ׬ ׮ δã֮ Ӭ ֵ ִֵ-β֬ ӓֵ ָ ꮵֳß ׿ ֣- ꮵֳß ׿ ׾ָ֮ ִֵ֯β֬ ִޛ ָ ן ׮ִ ׮ ֯ ֿ֟ ׫ָ ׮ ָ ׮ ָ ׮ ִ ָ ֲ 5 5/9 ׾ָ֮ ߓ ׾ָ֮ ׸ ׾ָ֮ ן ֯ ִޛ ָ ׾ָ֮ ׿ Ο ן ׫ָ ׮ ָ ׮ ֯ ן ֯ ׸ ׾ָ֮ ן ֯ ָ ׮ ִ ãׯ֟ ָ ד δ >

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ִƵָ ֤׾ ״֢

Ԛ׾֤ דִ֯ פ ײפ פ, פ ֈ, ֈ ӓִ ׌׾ֵ ꤾ ־ ׽׾ָ־ֹ֬׸ ׸׾ָ֓׸- ׾֙˚ ן ֹ֯׸ ֲפ ֤ӟָֹ֬׸ ׽׾ָ֋ ִӛ ׸ ֤ (צ֯Ο פ ן ֚:) ֤ӟֹ֬׸כ 㾾 ׌֢ (ן 㾾֯׌֢ ן ֚:) ײפֹ֯׸ ֲפ ׸׾ָ־֤ ִ ׸ִֵֹ׾ 㓓֤ - Ƶ׽׾ִָ֬ ӟ פ ֹ֯׸ ֲפ ֲִָ֟׸׾ָ֋ ֳִ ע

50

9

1

63

ִ פִ׼ ֬ ׸׾ָ-״ Ƥ ״דָ פ פ˚

3150

59

ӯ׬ ߵ ֤ ꕕ ƾן, ן-֤㲳 Ƌ ֲָ֟״ ׼ ꕕִֹ֤-֤ ִִֹ֤ ꕕפ, ָ-

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< ָ ׫ߵ ߵִ, ߵ ֟Դ, ֟ ӓִִ ״ֻ ß֮ ׾ָ֮ ִ֮ ֲ ן ֯ ׸ ׾ָ֮ ִ֮ ָ ׮ Ӵ ׾™ ֮ Ƶ ׮ ֵ ֟ ױ ֤ӟָ ן ֯ ß֮ ׾ָ֮ ָ ִޛ ׸ ׾ִָ֮ ָ֤֮ ן ֯ ƻ ִ֮ ״ָֻ֮ ׫ߵ ׮ ֵ ֟ ָ ׸ ׾ָ֮ ׿ ִ֮ ֲ ִ ָ ֮ ׾֮֬ Ɵ ֣-- ׬ ß֮ ׾ָ֮ ֡ ã֮ פ ׮ ֵ ֟ ꮵֳß ׿ ֡ ׸ ׾ִָ֮ ֮ ׮ , ָ ׿ ֟ ׿ δ ׿ ־ןԟ ָ ֲ ׸ ׾ִָ֮ ָ ד ָ Ӥ™- >

< Ƹ- פ 50/9 + 1 ָ ׮ 63 ָ ֮ ׮ - 63 x 1 ( 50/9 = 567/9 ; 63 = 3717/59; 3717/59 - 567/59 = 3150/59 ד ָ >

< Ʈߵ ߮ ܵ֟ , , ׮ ׬ ߮ ֟ ꮵֳß ׿ִ ָ -ܵ֟ ִ֮ ֟ ָ δ ܵ֟־ ֡ , , ָ ׮ ߮ ֟ >

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ӛִ ӛ

ן֤֓㲳 ׌֤ ׸׾ָֆֲָ֟ߋ ꕕ-֢֤

3150

59

ֲִֵ֯֬ Ƥ ׸֓׸ ׸ִ֤֓פ 118

ԯ ׽פפִֵ֯כ ִֵƵִִ֬׸ כ ֬-ӓֵ ָ 㓓֤ - ָ֤

25

9

׾ָ ׸֯֜-֬׸ ִӛ ׸ פ כ ֆ ־ן 㓔׾ִ֙˚ ײפ׾ָ֋ Ƶ ׾ָ-׻ֵ ײפ׾ָ֋ ֹ֬׸ ִӛ ׸ פ 㓔׾ ־ן ֹ֬׸ וִ׾ָ֋ ײפ-֬׸כ ֤ ִ ߸ וִ׾ָ֋ ׸ֹ ִ 㓓֤ - ֹƵ ֹ ӟ פ ֹ֯׸ (-֯Ο: ׸, ֯Ο ׸ ן ֚:) ֲפ וִ׾ָ֬״ עֵ ׸ֹ ֳִ ע

19

1

25

9

ִ פִ׼ ֬ וִ׾ָ֋ ֤ ד-

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< ׸ ׾ָ֮ ꮵֳß ׿ ܵ֟ ߮ 3150/59 ִֵ֯β֬ ָ ׫ָ ׮ ִ֮ ָ ׮ ֣ ָ -׮ ֟ 6300 ( 3150/59 = 118 >

< ãן Σִ ִֵ ִֵ ׬ ׮ ֡ ã֮ Ӭ ӓֵ ָ Ɵ ֣- ׿ ׫ߵ (25/9) ׾ָ֮ ׸ ׾ָ֮ Σִ ן ֯ ִޛ ָ ß֮ ׾ָ֮ Ο ן 㓔 ֯ ױ -׾ֿ ֮ ׻ֵ ׫ߵ ׾ָ֮ ߓ ׬ ׮ ׾ָ֮ ׫ߵ ׾ָ֮ ߓ ׬ ׮ ׾ָ֮ ׫ߵ ׾ָ֮ ן ֯ ִޛ ָ ן 㓔׾ֿ ֯ ױ ן ֯ ִ ִ ָ ִ֬ ׾ִָ֮ δ Ɵ ֣- ׬ ׮ δִ ״ָֻ֮ [(8+1) x 2 + 1 = 19] ֯ ֮ ã֮ פ ׮ ֵ ֟ ִ֬ ׾ָ֮ ִ֮ ֮ ߮ ֯ , ָ ׿ ֟ ׿ δ ׿ ־ןԟ ֲ ִ֬ ׾ִָ֮ ָ ד ָ 25/9 x 1 ( 19 = 25/171, 25/9, = 475/76, 475/171 - 25/171 = 450/171 = 50/19 >

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ִƵָ ֤׾ ״֢

ן

50

19

֬ Ƶ ӟ פ ֹ֯׸ ֲפ ׸׾ָ- ״ ֳִ ע

69

19

1

63

ִ -֤״ִ֓׼ ֬׸׾ָ״ -

Ƥ ֵ֤ӓֵ - ָ פ

3150

69

ֲִֵ֯֬ Ƥ ׸֓׸-׸- ׸ֳ֤֓פ 138 ִ׸ - ׾ָ ָ ֬ꤾ ־׸ ןִֵƵִ׸ כ ֬ӓֵ ָפ˚

315

8

ִֵ֤Ƶִ׸ כ ֬ӓֵ ָפ˚

1575

46

ӓִֵƵ-ִ׸ כ ֬ӓֵ ָפ˚

630

21

ִֵ-Ƶִ׸ כ ֬ӓֵ ָפ˚

3150

119

157

67

ӟ ׽פִֵ֤֜ ִ֬ כ ֬-ָ (-) ֲָ֟ ןֳ פ 21 ߆

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< ׬ ã֮ פ ׮ ֵ ֟ ׸ ׾ִָ֮ ֮ ׮ ֵ ־, ָ δ ֟ -֟Ԯ ֲ ׸ ׾ִָ֮ ָ ӓֵ ָ - 63 x 1 ( 60/19 = 1107/69; 63 = 4347/69, 4347/69 - 1107/69 = 3150/69 ִֵ֯β֬ ָ ׫ָ ׮ ָ ׫ָ ׮ ֣ ָ ׮ ֟ - 6300 ( 3150/69 = 138 = ( 100 + 18 + 20) ָ ֮ ߮ ׾ָ֮ ָ ֬ Ƶ ׾ֿ֟ ֻ ֮ ߮ ִֵ ׬ ׮ δ ã֮ Ӭ ֵ ӓֵ ִ֮ ָ Ӥ™ 315/8 ָ ִֵ ׬ ׮ δ ã֮ Ӭ ֵ ӓֵ ִ֮ ָ Ӥ™ 1575/46 ӓ ִֵ ׬ ׮ δ ã֮ Ӭ ֵ ӓֵ ִ֮ ָ Ӥ™ 670/21 ִֵ ׬ ׮ δ ã֮ Ӭ ֵ ӓֵ ִ֮ ָ Ӥ™ 3150/119 ֟ ִֵ ׬ ׮ δ ã֮ Ӭ ֵ ӓֵ ִ֮ ָ Ӥ™ 1575/67 ָ --ãן Σִ ִֵ ׮ ֡ ã֮ Ӭ ֵ ӓֵ ָ ( ) ꮵֳß ׿ ߵ ֡ 64-1/3 = 21 ׮ֵ ֜ , : ׾ָ֮ >

ӛִ ӛ

ԓכ ע ׾ָ׻ֵ ׾ ׸ ֲ֟ ׸ ִ־֤ ן ֲן, ֲָ֟״ ׼ ןֳ-ֻӳ֤ ֲִֵ֯֬ Ƥ ֜-ײפߵ כ ֬-(ן ֬ ן ֚:) ӓֆ ֓פ 300

ӯ ִֵƵ֤ (-֯Ο: ִֵƵƤ ן ֚:) ߵ כ Ӭִ ֲ֟-ןֳ ӓ ָ פ - ֲָ֟ןֳ ׾ָ ֲִֵ֯֬ ִӛ ׸ פ ׸ (׸) ֤ ־פ ֤ӟָן֓׸֓׸ ִ״֓ 36 ׸-׸-֤ Ƥ 㤸 ֓פ

25

3

׾ָ ׸׾ָֹ֬׸ ִӛ ׸ פ ן֓- ׸- ֓׸ ־פ ײפֹ֬׸כ ֤ ִ ߸ ׸ֹ ִ 㓓֤ - Ƶ׽׾ִָ֬ ӟ פ (-֯Ο: ֛˜ ן ֚:) ֹ֯׸ ֲפ ׸׾ָ֋

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< ָïָ ִ ָ ߮ ֯ , , ꮵֳß ׿ִ ָ ߵ ֟ - [(64-1) ( (2 x 2 - 1) = 21)] ִֵ֯β֬ ָ Σִ ׫ߵ ׮ֵ Ӭ ֵ ӓֵ ֟ - 6300 ( 21 = 300 >

< ִֵ ׬ ׮ δ ã֮ Ӭ ֻ֮ ָ ꮵֳß ׿ ߵ ָ - ꮵֳß ׿ ߵ ׾ָ֮ ִֵ֯β֬ ִޛ ָ ׮ִ ( ׫ָ) ׮ ֯ ( 64-1/3 = 21, 6300 ( 21 = 300 ָ ׫ָ ׮ֵ ) : ָ֤֮ סָ֓ ׮ ָ ׮ ֣ ֮ ™ , : (36) ָ ׫ָ ׮ֵ ִ ָ ָ׿ ֟ - 300 ( 36 = 25/3 ׾ָ֮ ׸ ׾ָ֮ ׿ ן ֯ ִޛ ָ סָ֓ ׮ ִָ ׮ ) ױ ( ׸ ׾ָ֮ ) ׫ߵ פ ן ֯ ִ ִ ָ ߮ δ ֻ֟֟ - ׬ ß֮ ׾ָ֮ δ ã֮ פ ׮ ֵ ֟ ָ ׾ָ֮ ׿ִ ֮ >

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ִƵָ ֤׾ ׻ֵ

Իֳִ ע

28

3

1

21

ִ ֤״ִ֓׼ ֬ ׸׾-֋ Ƥ ֵ֤ӓֳֵָ פ

75

4

ֲִֵ֯֬ Ƥ ִֵ֤֓פ 336

ԯ ִֵƵ֤߆ כ ֳָ֬ ִ֕ -֤ ׾ָ׻ֵ ׸׾ָֹ֬׸ ִӛ ׸ פ -׸ ֹ׸ ־ן ֓׸׸ ׾״ִ֓ ע ײפ׾ָ֋ Ƶ ׾ָ ֹ֬׸ ִӛ ׸ פ 㓔׾ ־פ ׾ 㾾 ִ ߸ ָָ֬ ִֵ 㓓֤ - Ƶ -Ƶ ӟ-פ ֹ֯׸ ֲפ וִ׾ָ֋ ֳִ ע

19

1

25

6

ִ ֤״ִ֓׼ ׸ֹ ֲן וִ׾ָ֋ ֤ ָ פ 75

19

Ƶִוִ׾ִָ֬ ӟ פ ֹ־ֵ ֲפ

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< ׮ ֵ ֵ, ָ δ ׿ ֟ ׿ִ ָ ֲ ָ ׾ָ֮ ׿ִ ָ ӓֵ ָ -- 21 x 1 ( 28/3 = 9/4; 21 = 84/4; 84/4 - 9/4 = 75/4 ִֵ֯β֬ ָ ֟ -- 6300 ( 75/4 = 336 >

< : ִֵ ׬ ׮ֵ Ӭ ֵ ָ ׮ֻ֮ ׿ ׫ߵ ׾ָ֮ ׸ ׾ָ֮ ׿ ן ֯ ׿ ִޛ ָ ָ ׮ִ ׮ ֯ (300 ( 25/6 = 72 = 36 x 2) ׮ִ ׮ ָ ׾ֿ , : ׫ߵ ׾ָ֮ ׿ ߓ ׬ ׮ [(8+1) = 9x2 = 18] ׾ָ֮ ן ֯ δ ִޛ ָ 㓔׾ֿ ֯ (72 ( 18 = 4) ӯָ ƻ ִ֮ ִ ָ ׮ָָ֬ ֮ ε ֻ֟֟ - ׬ ׮ ִ ״ָֻ֮ ֯ ֮ (8+1x2+1 = 19) ã֮ פ ׮ ֵ ֟ ִ֬ ׾ָ֮ ׿ִ ֮ ֵ ־, ָ ֟ ׿ δ ׿ִ ־ןԟ ָ ׮ ֯ ֵ ֟ ִ֬ ׾ָ֮ ׿ִ ָ ָ δ -- 25/6 x 1 ( 19 = 25/114; 25/6 - 25/114 = 75/19 ױ ׬ ִ֬ ׾ָ֮ ׿ δ ã֮ פ ׮ ֵ ֟ ׸ ׾ִָ֮ ֮ ֵ ־, ָ ׿ >

ӛִ ӛ

ԟ ׸׾ָ֋ ֳִ ע

94

19

1

21

ִ ֤״֓-׼ ֬ ׸׾ָ֋ Ƥ ֳֵָ֤ פ

1575

94

ֲִֵ֯֬ Ƥ דִ֓פ 376

ԯ ןִֵƵ֤߆ ׸ כ ֳָ֬

105

7

ִֵ֤Ƶ֤߆ ׸ כ ֳָ֬

525

39

ӓִֵƵ֤߆ ׸ כ ֳָ֬ 315 ִֵƵ֤߆ ׸ כ

26

ֳָ֬ ִֵ֢Ƶ֤߆ ׸ כ ֬-

525

48

(-Ο: ּן ֚:) ָ

525

53

ִֽ-־-פִֵƵ֤߆ ׸ כ ֨-ֳָ ֢־ (֯ן֚֯ꃵִ --֯ן

525

52

ן ֚:)

ן߆ כ ֳָ֨ ִ

3

4

Ƶ-֨ ӟ פ ֹ֯׸ ֲפ -

ָ֟ן-״ ֳִ ע

7

4

1

21

ִ ֤״ִ֓׼ ֬ ׸׾ָ֋ Ƥ דֳָ פ ־,

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

< ֟ ׿ δ ׿ ־ןԟ ֲ ׸ ׾ָ֮ ׿ִ ָ ָ - 75/19 + 19/19 = 94/19; 21 x 1 ( 94/19 = 399/94; 21 = 1974/94; 1974/94 -399/94 = 1575/94 ִֵ֯β֬ -ָ ד ֟ -- 6300 ( 1575/94 = 376 >

< : ߮ ִֵ ׬ ׮ֵ Ӭ ֵ ָ 105/7; ָ ִֵ ׮ֵ Ӭ ֵ ָ 525/39; ӓ ִֵ ׬ ׮ֵ Ӭ ֵ ָ 315/26; ִֵ ׬ ׮ֵ Ӭ ֵ ָ 525/48; ֟ ִֵ ׬ ׮ֵ Ӭ ֵ ָ 525/53 ָ ֚, פ ִֵ ׬ ׮ Ӭ ֵ ָ ι Ƶ >

< ߮ ׮ֵ Ӭ ֵ ָ ιִ ׬ ֮ (3/4) ã֮ פ ׮ ֵ ֟ ꮵֳß ׿ ߵ ִ ֮ ֵ ־, ָ ֟ δ ־ןԟ ֲ ׸ ׾ָ֮ ׿ִ ֙ ָ ד ָ -- 21x1 ( 7/4 = 12; 21-12 = 9 ־, -ãן Σִ ִֵ ߮ ׮ֵ Ӭ ֵ ָ ™ , ߮ ׮ֻֿֆ ׾ָ֮ ָïָ >

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

 

 

ִƵָ ֤׾ ״֢

׽פפִֵ֯כ ן߆ כ ֳָ֬״ִ֓ ע ןֻֆ ׾ָ׻ֵ ׾ ׸ -ֲָ֟ ֲָ֟״ ׼ ֳֵָ֤ פ

9

־֤ Ƥ ׽פִֵ֜֯כ ן߆ כ ֲִֵ֬֯֬ ׼ ׸ פ

700

ӯ׬ ִֵƵן߆ כ ֬ӓֳֵָ -ֲָ֟ߋ ֳִ֢ ӓ - ֲִָ֢֟- ׾ָ ֲִֵ֯֬ ִӛ ׸ פ כ ן֤ ־פ ֤׸֓׸ ִ״ד

72

׸֋ֹ֬׸

700

Ƥ ָ פ

175

18

׾ָ-׻ֵ ׸׾ָֹ֬׸ ִӛ ׸ פ כ (֤-) ׸֓׸ ־פ ִ׸ֹ֬׸ ֤ ִ ߸ ׸ֹ ִֹ֯ ߸ - ׽׾ָ Ƶ ӟ פ ֹ֯׸ ֲפ ֲ֟-ֳ֢״ ֳִ ע

193

18

1

9

ִ ֤-״ִ֓׼ ֬ ׸׾ָ״ Ƥ ֳֵָ֤

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

< ֟ ָ ֯ ִ ꮵֳß ׿ִ ָ ָ -- 2 x 2 x 2 = 8; 8 - 1 = 7; 64 - 1 = 63; 63 ( 7 = 9

1 1 1

ִß ִ ָ ãן Σִ ִֵ ߮ ׮ֵ Ӭ ֵ ִֵ֯β֬ ׮֕ -- 6300 ( 9 = 700 >

< ִֵ ׬ ߮ ׮ֵ Ӭ ֵ ӓֵ ָ ꮵֳß ׿ ֟־ ָ-- ꮵֳß ׿ ֟־ ׾ָ֮ ִֵ֯β֬ ִޛ ָ ן ߮ ׮ֵ ֯ ָ ֟㿓ָ ׮ ָ ׮ ֣ ֮ ™ , (72) ׸ ׾ָ-֮ ׿ ן ֯ ׿ִ ָ ָ׿ -- 700 ( 72 = 175/18 ׾ָ֮ ׸ ׾ָ֮ ן ֯ ׿ ִ-ޛ ָ ן (֟:) ָ ׮ ָ ׮ ֯ ׸ ן ֯ ׿ֵӴ ִ ָ ߮ δ ι ָ -- ׬ ß֮ ׾ָ֮ פ ׮ ֵ ֟ ꮵֳß ׿ ֟־ ִ ֮ ֵ ־, ָ ֟ δ ־ןԟ ֲ ׸ ׾ָ֮ ׿ִ ָ ָ -- >

 

 

ӛִ ӛ

פ

1575

193

(-֯Ο:

1575

162

֯Ο

1575

192

ן ֚:) ֲִֵ֯֨ Ƥ ׯִ֤֓פ

772

ԯ ִֵƵן߆ ׸ ל ֳָ֬ ֤ - ָ֤ ׾ָ׻ֵ ֹ֬׸ ִӛ ׸ פ כ -׸ ־ן ׾ Ƶ״ד פ ׾ָ֋ Ƶ ׾ָ׻ֵ וִ׾ָֹ֬׸ ִӛ ׸ פ ׾ ־פ ִ׸ֹ֬׸ ֤ ִ ߸ ׸ֵֹ׾ 㓓֤ - ׽׾ָ Ƶ ӟ פ ֹ֯׸ ֲפ וִ׾ָ״ ֳִ ע

19

1

175

36

(֯Ο 169

ן ֚:) ִ ֤״֓׼ וִ׾ָ֋ ֬ ֤ עֵ פ

175

38

Ƶ ӟ פ ֹ֯׸ ֲפ ֲֳָ֢֟״

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

< 64-1/7 = 9; 9x1 ( 193/18 = 162/193; 9 = 1737/193; 1737/123 - 162/193 = 1575/193

ִֵ֯β֬ ָ ׾־֟ ֟ -- 6300 ( 1575/193 = 772 >

< : ִֵ ׬ ߮ ׮ֵ Ӭ ֵ ָ Ɵ ָ -- ָ׿ ׫ߵ ׾ָ֮ ן ֯ ִޛ ָ ן ׮ִ ׮ ֯ (700 ( 175/36 = 144) ׾ֿ ׬ , : ׾ָָ֮׿ ߓ ׬ ׮ ׾ָ֮ ִ֬ ׾ָ֮ ׿ ן ֯ ִޛ ָ ׾ֿ ֯ (8 + 1x2 = 18; 144 ( 18 = 8) ׸ ן ֯ ׿ִ ִ ָ ߮ ֮ ׾׬ ֻ֟֟ ָ -- ׬ ß֮ ׾ָ֮ פ ׮ ֵ ֟ ִ֬ ׾ָ֮ ׿ִ ֮ ֵ ־, ָ ֟ δ ־ןԟ ֲ ִ֬ ׾ָ֮ ׿ִ ֙ ָ ֮ - 175/36 x 1 ( 19 = 175/684; 175/36 - 175/684 = 3150/684= 175/38 : ׬ פ ׮ ֵ ֟ ꮵֳß ׿ ֟־ ִ ֮ >

 

 

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

 

 

 

ִƵָ ֤׾ ״֢

Իֲפ ע

213

38

1

9

(֯Ο 213 ã֮ 313 ן ֚:) ִ ֤״֓׼ ֬ ׸׾ָ-֋ -֤ ׯָ֤ פ 1575 ֲִֵ֯֬ Ƥ ׯִ֤֓פ

852

213
Ԭָןֳ ֤㲳פ וִ׾ָ ׽׾ָ ֤ ׸ ־֟ ֢־ ־׸ ןִֵƵן߆ ׸ כ ֳ֬-ָפ˚

315

47

ִֵ֤Ƶן߆ ׸ כ ֬-ָ

1575

259

(֯ן֚֯ꃵִ --֯ן 1575 ן ֚:) ӓִֵƵן߆ ׸ כ ֳָ֬ ( 258

315

57

ִֵƵן߆ ׸ כ ֳָ֬ )

1575 313

ִֵ֢Ƶן- ߆ ׸ כ ֳָ֬

225

49

ִֽ-־-ִֵƵֆ ꤾ ־ ֈ כ ע ֟ ׸ֳָ ֤ -

7

8

Ƶ ӟ פ ֯׸- ֲפ ֲ-ֳָ֢״ ֳִ ע

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

< ֵ ־, ָ ֟ δ ־ןԟ ֲ ׸ ׾ִָ֮ ֙ ָ ׾־֟ ָ - 175/8 + 38/38 = 213/38; 9x1 ( 213/38 = 342/213; 9-342/213 = 1575/213 ִֵ֯β֬ ָ ׾־֟ ֟ -- 6300 ( 1575/213 = 852 >

< ָ׿ ߵ ֟ פ ֣ ִ֬ ֣ ß֮ ׾ָ֮ ׿ ֮ ־ԡ ι Ƶ ׾ֿ ֮ ߮ ִֵ ׬ ߮ ׮ֵ Ӭ ֵ ָ Ӥ™ 315/47 ָ ִֵ ׬ ߮ ׮ֵ Ӭ ֵ ָ Ӥ™, 1575/259, ӓ ִֵ ׬ ߮ ׮ֵ Ӭ ֵ ָ (315/57, ִֵ ׬ ߮ ׮ֵ Ӭ ֵ ָ) 1575/313, ֟ ִֵ ׬ ߮ ׮ֵ Ӭ ֵ ָ 225/49 ָ ֚, ִֵ פ ׬ δ ֟ ׮ ֯ ֮ Ƶ ִ ׮ִ ָ Ɵ ָ - ׬ ֮ (7/8) פ ׮ ֵ ֟ ꮵֳß ׿ ֟־ ִ ֮ ֵ ־, ָ >

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

 

 

ӛִ ӛ

15

8

1

9

(֯Ο

25

8

1

9

ן ֚:) ִ ֤״ִ֓׼ ֬ ֤ ׯ֤-ָ פ

21

5

־, ֢׸߆ כֆ ע ֢׸ ׾ָ׻ֵ ׾ ׸ ֲָ֟ -ִָ֟׼ ָ פ

21

5

ֲִֵ֯֬ Ƥ ֢׸-߆ כ ֬ӓֆ פ

1500

ԯ ִֵƵ֢֓׸ߵ כ ֲִֵָ֬֯֬ -ֲָ֟ ֳָ ӓ פ 㾾ֳָ ׾ָ ֲִֵ֯֬ ִӛ ׸ פ כ 㾾 ֤ פ ֹ֬-׸ (--Ο: ׸ ן ֚:)

1500

ӓ֓׸֓׸

144

Ƥ ֬ ָ פ

125

12

ִ ߸ ִֽ֯ ֤ - Ƶ--ִ֬ ӟ פ ֹ֯׸ ֲפ ׸׾ָ-

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

< ֟ δ ־ןԟ ֲ ꮵֳß ׿ ִ֯ ִ ֙ ָ ׾־֟ ָ -(64 - 1) ( 7 = 9; 9 x 1 ( 15/8 = 72/15 = 21/5 ־ ָ ׮ֵ ֵ , : ָ ׾ָ֮ ֿ֟ ָïָ ֟ ֯ ׿ִ ꮵֳß ׿ִ ָ ָ - 2/1 x 2/1 x 2/1 x 2/1 = 16 - 1 = 15; 64-1 = 63; 63 ( 15 = 21/5 ִֵ β֬ ָ ָ ׮ֵ Ӭ ֵ ӓֵ -- 6300 ( 21/5 = 1500 >

< : ִֵ ׬ ָ ׮ֵ Ӭ ֵ ִֵ-β֬ ָ ꮵֳß ׿ ֮ƾ ָ ָ ׾ָ֮ ִֵ֯β֬ ִޛ ָ ן Ԍ ֟ ן ֯ ִ ӓָ֓ ׮ ָ ׮ ָ ֲ ָ׿ þֹ - 1500 ( 144 = 125/12 ִ ָ ™ δ Ɵ ָ - ׬ ׿ δ ã֮ פ ׮ ֵ ֟ ׸ ׾ָ֮ δ ã֮Ӵ ֮ ֵ >

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