ӛִ ӛ

׸ פ כ ןֳִ֯ ־פ ִ׸ ֤ ִ ֵ־ Ƶן פ ֹ֯׸ ֲפ ֳִ ן

4

1

2

ִ ֤״֓׼ ֬֬

1

2

״ Ƥ 㬤ִעֵ פ

1

1

2

ӯ ֆ ׾-Ƶִ׸ כ- Ӭִ ןֳ- ָ פ, Ƶ֤ -׼ ֲֹןֳ

2

3

׸֤֤

1

1

3

-ן֤֓㲳ִ׸כ Ӭִ ִֹֹ - ֳִ֢ ָ פ - ןֳִֹ ׾ָ׻ֵ ׸ ֹ֬׸ ִӛ ׸ פ ד ־פ Ƶ ӟ פ ֹ֯׸ ֲפ ֳִ ע

7

3

1

2

֬

6

7

״ Ƥ 㬤ִ

1

17

ִֵ- ֲ֬ ֤-ֆ (ן ֲִֵ֯֬ ֤ֆ ן ֚:) 긇- ׸ִ֋ ֤֜ ֤㲳

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< ן ֯ ִޛ ָ ן ߵ δ ֯ ָ ִ Ƶ ׬ ߮ פ ׮ ֵ ֟ ן ֮ ֵ ־, ָ δ ֟ ־ןԟ ָ ֬ ֲ - 2 x 1/4 = 1/2 Ӵ ָ ֮ --1 1/2 ׮ ׾ֿ ׬ Ӭ ֻ֮ ָ ߵ Ɵ , , ׬ ָ ־ןԟ ָ Ӵ סֳ (2/3) ׮ ֟ --2-2/3 = 1 1/3 : ׮ ߮ ֟ Ӭ ֻ֮ ָ ׾ָ-֮ ָ ן ֯ ִޛ ָ ד ֯ ׬ ֮ (7/3) פ ׮ ֵ ֟ ֮ ֵ ־; ( ָ δ ֟ ־ןԟ ָ) ֲ ֮ --6/3 x 1/1 ( 7/3 = 6/7 Ӵ ָ Ɵ - 2-6/7 = 1 1/7 ִֵ֯β֬ ֟׿ ߾ ָ ־ ׮ִ ִִֵ Σִ ׮ ִ֮ ߮ ֟ ֣ >

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ִƵָ ֤׾ ״֢

ײפפ֤ ָפ, ֲֳִֵֽ֯֬ ָפ ע פ ִִֹֹ ꕕפ ָ ֓ עֵ֤ ִֹֹ ꕕפ ָ פ ע ֤ - ֯׸ꕕ Ƌ כ ֟ ӛ ӛ ׾Ƶ 꽤 ׸ כ ֬ ִֹֹ ׾Ƶ֕-׸ꕕ כӛ ָ פ -

9

8

׾ָ ֹ֯׸ ֲפ ׸׾ָ״ ֳִ ע

17

8

1

2

ִ פד֋ ׼֋ ֬עֵ פ

16

17

״ Ƥ ֹ Ƶ֕֯׸ ꕕ כֹ ָ

1

1

17

פ ֲִֵ֯֬ Ƥ -Ƶ֕֯׸ꕕ ִֵ-ֲ֬ כ ֟ ӛ ӛ ֓ן כ ׸ ֬ ֲִֵ֯֬ ִꕕפ ֙˚, ֆꕕ

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< ׫ߵׯ ׮ֵ ָ ׳ֵ֯ ֚ ߮ ִֵ֯β֬ ָ ( Σִ ׮ 1/2 ִֵ֯β֬, ׫ߵפ ׮ 1/2 ִֵ֯β֬, 1/2 x 3/4 + 1/2 = 7/8 ) >

< -- ָ ܵ֟־ ָ ֟ ֮ ׬ ָ ܵ֟־ ָ ? >

< ִ֮֬- 攮ָ ָ ֑֮ ָߟܵ֟ ִ ״ָֻ֮ ֯ ׮ ޛ ִ ޛ ׾ֿ׬ δ ߓ ָ Ӭ ֵ ָ ׾ֿ׬ ֑֮ ָߟܵ֟ ޛ ָ ޛ ָ ָ- ׬ ֮ (9/8) ׾ָ֮ פ ׮ ֵ ֟ ׸ ׾ִָ֮ ֮ ֵ ־, ָ δ ֟ ־ןԟ ָ ֲ ֮ -2 x 1 ( 17/8 = 13/17 Ӵ ָ ׬ ֑֮ ָߟܵ֟ ޛ ָ - 2 - 16/17 = 1 1/17 >

< ִֵ֯β֬ ָ ׬ ֑֮ ָߟܵ֟ ִֵ֯β֬ ޛ ִ ޛ ޛ ֟ ִֵ֯β֬ Ӭ ֵ ܵ֟־ ™ >

ӛִ ӛ

ֽ ־׸ ָ֓׸ִֵ֯כ ִֵƵֆֲֲִִֵ֬֯֬- ׾ ֙˚ ָ, ֆ˛֤֢֤

ӯ ֲ ֤ ִ ֲֲ֬ӟָ ֬ (-֯Ο: ֬ ן ֚:) ֲִֵ֯֬-֤ ׾ ֋ ׾ 㓔֋ ֬ (֯Ο ֣ ן ֚:) ֹ ֻ ן, ָ֓׸ִֵ֯כ ׸ ׌֢֯֜פ㓔֤ ӯ ֲֲ֬ӟָ ֲִִֵ֬֯֬֋ ֽ֯׸ ߸ - ־ ֈ׾ ֲִֵ֯֬ ִֵֆ֤ ִֵ׻֤, ִֵ-ֲ֬ ִֵֆכ˛֤ ִֵ׻֤, ֲִֵ֯֬ ִֵֆכ˛֤ -ֵ׻֤ פ ן ִֵ֯ן ֤ ֽ ֹ ߸ ָ֓׸ִֵ ן ׸ ֬ ֲִֵ֯֬ ־ ֤--ֲִֵ֯֬ ׾ֵ -˛˛ֳָ ׾֤ ִֵֆכ˛ פ ־ִ㤵־׻-ֲƸ 㓔ָ ӓפ ע ִ֜֯ פ-

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< , ܵ֟ ™ ׾ֿ ֮ ָ ־ ׮ִ ִֵ ߓ ִֵ ׬ ֲ֬ δ ִֵ֯β֬ ָ ™ , , ά֮ ֵ >

< ֲ֬ ά֮ ֮ ָ ֲ֬ ߟָ Ӭ ֵ ִֵ֯-֬ ָ ׾ֿ֮ ָ ׮ þֹ - ֻ֮ , , ָ ־ ׮ִ ִֵ Σִפ 㓔 ׮ ֵ ֲ֬ ߟָ Ӭ ֵ ִֵ֯β֬ ָ ™ ָ ָ -- ִֵ֯β֬ ִִֵ ™ ִ ִִֵ ׻֟ , ִֵ֯β֬ ִִֵ ™ ִ ִֵ֮Ӵ ׻֟ , ֣ ֮ ִֵ֯β֬ ֮ ִֵӴ ™ ִ ֮ ִֵӴ ׻֟ , ָ ָ ָ ߮ ƕָ ִֵ֯׌ ãׯ֟ δ ָ ™ ι ָ ־ ׮ִ ִֵ ߮ ƕָ ߓ ָ ִֵ֯β֬ Ӭ ֵ ִִ֮ ι -- ִֵ֯β֬ ãׯ֟ ߓ -ֳָ ãׯ֟ ָ ִִֵ ™ δ ֲ ־ֻ Ƹ 㓔ָ , Σִ ׮ δ- ָ ׮ δ Σִ ׮ ׻ֵ >

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ִƵָ ֤׾ ״֢

Դ֯֜ ן פ Ƥ ִֵ֯-ִֵ֬ֆ ִֵ֜׻֤֓פ ײפִֵ׻֤ ִ֕ פ߆ ׾ָ׻ֵ ֲִֵ֯֬ ִֵֆ ִӛ ׸ פ ִֵ֜׻ִ֤֯ ־פ

ӯ׬ ֳָ ׾ָ׻ֵ ִֵ֜׻֤ ִӛ ׸ פ כ 㓔׾ ־פ ׸׾ָ־ֹ֬׸ ֵ ֵ֤-㓔ִ ߸ ִ㯯ֻ ִִ֤֕ - ׽-׾ִָ׾ פ ֻ ֲפ ׸׾ִָ׾ ֳִ ע ִ ֤״֓׼ ֌ֻֆ ֲן ֆ ׸-׾ָ֋ ׌׾ֵ ִֵֆ Ƥ ֢ ײפִֵ׻֤-֓פ ֳָ פ߆ ׼ ֬

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< ׮ ™ ִ ָ ִֵ֯β֬ ִִֵ ™ ִ Σִ ִִֵ ™ ֟ ױ ִ ׫ߵ ִִֵ ™ δ ֮ ׻ֵ ׮ֵ ׾ָ֮ ִֵ֯β֬ ִִֵ ™ ִޛ ָ Σִ ִִֵ ™ δ ֯ >

< ߓ ׮ָ ׾ָ֮ Σִ ִִֵ ™ ִޛ ָ Ο ן 㓔׾ֿ ֯ ׸ ׾ָ֮ ׿ ֲ ן ֯ ִ 㓔 δ -ָ ֮ ֻֆ δ ֟ ָ -- ß֮ ׾ָ֮ δ ׾ֿӴ פ ֻ ֵ ֟ ׸ ׾ָ֮ δ ׾ֿӴ ֮ ֵֻ ֵ ־, ָ δ ֟ ־ןԟ ָ ֵֻֿ ֯ ׸ ׾ִָ֮ ״ֻ ִִֵ ™ ִ ָ ִ ׫ߵ ִִֵ ™ ֟ (ִֵ֯β֬ ™ δ 6144, ׮ 12, ׮ָ 16;

6144/1 x 1/12 = 512 Σִ ׮ 512 ( 16 = 32 ֵ δ; ׮ָ 15 ָ פ ׮ 12 ָ ֮ ׮ - 12/15 5; 12 + 4/5 = 64/5 ׫ߵ ׮ ָ; 6144 x 5/64 = 480 ׫ߵ ׮ ) ױ ׮ָ ׮ֵ >

< ן ֬ ן ֚: >

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ӛִ ӛ

ԟִ׸׾ָ֋ ׌׾ֵ ִֵֆ Ƥ ֢ פִ֋ ׻֤ פ ꤾ ־ 긇֤׸ִ֋ ˛֋ ׻֤ ע ־ֲִִִֵֵ֯֬ֆכ˜ִֵ׻ֹ֤֯ ֵ־ ־׸ 긇֤׸ִֵ֯כ ׽֤ ־׻ֵ ִ֬ ׾ָ֓ ן, ׸־׻ֵ֋ ֳ־֤ ׸־׻ֵ֋ ꕕֻ-כ ׾ֻӳ֤ (֯Ο ׾־ () ֻӳ֤ ן ֚:) ֲִִִֵֵ֯֬ֆכ˛ִֵ׻- ֹ ֤

ӯ׬ ֲִִֵֵ֯֬ֆִֵ׻֤ ֢ևִ --긇֓׸ִֵ ן־ ׸ ֬ ֲִֵ֯֬ (ן ֬ ֲִֵ֯֬ ן ֚:) Ӭ־׻ֵפӟִ (ן ׼ ן ֚:) ־׻ֵ֋ ꕕֻ֯כ ׌׾ֵ ־׻ֲֵƸ ֤ 㓔ָ ӓפ ֟ 긇֤׸ִֵ֤ ׌֢֤ ֽ״פ ֵ ִ ֲִֵ֯֬ ִֵ֛ֆ---

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< ־ןԟ ֲ ׸ ׾ִָ֮ ״ֻ ִִֵ ™ ִ ָ ִ ߵ ִִֵ ™ ( ׮..16; .. 6300/512; ׸ ׾ָ֮ 6300/512; 6300/512 ( (16/2 - 1) = 900/512; 6300/512 + 900/512 = 7200/512; 6300 ( 7200/512 = 488 ߵ ִִֵ ™ ) ָ ָ ־ ׫ָ ִִֵ ָ ™ ֮ Ƶ ָ ֲ ִֵ֯β֬ ִִֵ ™ ִ ִִֵ

™ ι Ƶ ׾ֿ֟ ֮ ָ ־ ׫ָ ִֵ ߓ ־׻ֵӴ Ӭ ֵ ִִ֮ ׾ָ֓ , , ָ ־ֻߴ ־ ׫ָ ־ֻߴ ֯ ܵ֟ ןֳ ׾ֿ֮ ֵ ֟ ָ ִֵ֯β֬ ִִֵ ™ ִ ִִֵ ™ ι ִ֯ >

< ִֵ֯β֬ ִִֵ ™ ִ ֮ ִֵӴ ™ ι ָ -- ָ ־ ׮ִ ִֵ ߮ ƕָ ߓ ִֵ֯β֬ Ӭ ֵ , Ӭ־ֻ Ɵ ־ֻߴ ܵ֟ ןֳ ֯ ִ ״ֻ ױ ־ֻ Ƹ 㓔 ָ ִ ָ ־ ׫ָ ִֵ ߓ ׮֯ ™ ֮ ιִ ִֵ֯β֬ Σִ ִִֵ ™ ãׯ֟ >

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ִƵָ ֤׾ ״֢

Ԥ ׾ֵ פߋ ׼ ִֵ֜׻ִ֤֓פ Ӭ ־׻ֵ ו֤ פ߆ ׼ ֲִֵ֯֨-ִֵֆ Ƥ ־׻։ן־ִ֯֜ ֓ן ִֵƵ֤־׻։ן־ ִ㓔׾ Ƶ ֤ ע ִ־ֵ׾ ֤ - ־׻։֟ - ֳָ֤ ׾ָ׻ֵ ׸֋ֹ֬׸ִִ ִӛ ׸ פ 㓔׾ ־פ Ƶ֤־׻։ן־ ֋ ׼ 㾾פ פ ִ㓔׾ ׾ָֹ כ ־ן ׸׾ָ־ֹ֬׸ ֤ ״ד פ

Ԇ֤㓔׾ ִֵ֤֯ ߸ ֯֌ֹ ִ ֤- ׽׾ִֵָ֤֯㓔׾ ֌ֻ ֲפ ׸׾ִָ ֳִ ע ִ ֤״֓׼ ֬׸-׾ָ֋ ׌׾ֵ ִֵ֜ֆכ˛ Ƥ ֲִֵ֯֬

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< ׮ ָ ־ןԟ ָ Σִ ִִֵ ™ ֟ ױ ֮ꤵ־׻ֵ Ɵ ߮ ƕָ ׮ֵ ־ןԟ ִֵ֯β- ִִֵ ™ ִ ָ ־׻ֵ Ɵ ߮ ƕָ δ Σִ ׮ ֟ ִֵ ׬ ־׻ֵ Ɵ ߮ ƕָ -֮ δ 㓔׾ֿ ׬ , ׾׬ Ɵ ָ -- ־׻ֵ Ɵ ߮ ƕָ ֟ ׮ָ ׾ָ֮ ׸ ן ֯ ֲָָ ִޛ ָ 㓔-׾ֿ ֯ ױ ׬ ־׻ֵ ߮ ƕָ ֮ ־ןԟ ׿ ָ ׾ָ֮ ן ֮ δ 㓔׾ֿ ֯ ׸ ׾ָ֮ ׿ ֲ ן ֯ ִ ָ ד >

< ֵ 㓔׾ֿ δ ָ ֮ δ Ɵ -- ß֮ ׾ָ֮ δ 㓔׾ֿӴ פ ֻֿ ֯ ׸ ׾ָ֮ δ 㓔׾ֿӴ ֮ ֵֻֿ ֯ , ָ δ ֟ ־ןԟ ֲ ׸ ׾ִָ֮ ״ֻ Σִ ִִֵ ™ ִ ָ ִֵ֯β֬ Σִ ִִֵ ™ >

ӛִ ӛ

ԯִֵ֜ֆִֵ׻ִ֤֓פ

ӯ׬ ֲִֵֹ֯֬ ײפִֵֆִֵ׻֤-ָ ִ ִֵ֜׻ָ֤ Ƶ֤־׻ֵ֟ ׼ ֬ ׾ָ ײפִֵֆ ִӛ ׸ פ כ ִֹּ֯֜ ־ן ֳָֹּ֤ ֹּ֋ ׼ ׾ָ׻ֵ ׸֋ֹ֬׸ִִ ִӛ ׸ פ כ ִ㓔׾ ־ן ִ -׸־ֹ֬׸ ֤ דִ פ ׽׾ִָ㓔-׾ פ ֹ֯֌ ֲפ ׸׾ִָ ֳִ ע ִ- ֤״֓׼ ֬׸׾ָ֋ ׌׾ֵ ײפִֵֆ- Ƥ ײפִֵֆכִֵ׻֤ פ

ԋ פ-ֈ-ӓִפִֵֆ (-֯Ο: ִֆ ן ֚:) ִֵ׻֤ ֹ ֵ־ ־ 긇֓׸ִֵ֤ ִֵƵֆ־׻ִִֵ׸ ׽פִֵ״

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< ִ ֮ ִֵӴ ™ ֟ ׾־֟ ִֵ֯β֬ ׫ߵ ִִֵ ™ ֮ ִֵӴ ™ ָ ιִ Σִ ִִֵ ™ ָ ׬ ־׻ֵ ߮ ƕָ ־ןԟ ֲ ׾ָ֮ ׫ߵ ִִֵ ™ ִޛ ָ Ο ן ־֟Ԯ ֲָָ Σִ ׮ ֯ ױ ߓ ־֟Ԯ ֟ ׮ָ ־֟Ԯ ֮ ־ןԟ ֲ ׾ָ֮ ׸ ן ֯ ֲָָ ִޛ ָ Ο ן ֮ δ 㓔׾ֿ ֯ ױ δ ׸ ֲ ן ֯ Ӵ ָ ד δ ß֮ ׾ָ-֮ δ 㓔׾ֿӴ פ ֵ ֟ ׸ ׾ָ֮ δ 㓔׾ֿӴ ֮ ֵ ־, ָ δ ֟ ־ןԟ ֲ ׸ ׾ִָ֮ ״ֻ ׫ߵ ִֵ ִ֮ ™ ִ ָ ׫ߵ ִִֵ ™ ִ ֮ ִֵӴ ™ ֟ >

< ָ ߵ, ֟ ӓִ פ ִֵӴ ™ ִ ֮ ִֵӴ ™ ι Ƶ ֲ ָ ־ ׮ִ ִֵ ߓ ִֵ ׬ ־ֻ δ ָ ãן ִִֵ >

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ִƵָ ֤׾ ״֢

׾֤ ע ֹ֤־׻։ֆֲִ֬־ֲִֵ֯֬ ֹ- ֵ־ ֲִִִֵֵ֯֬ֆִֵ׻֤ ֹ

ӯ׬ ֲִִֵֵ֯֬ֆכ˛ִֵ׻֤ ֹ ߸ - ֲִֵ֯֬ ׾ֵ ˛ (-֯Ο: ˛- ן ֚:) ָ֤פ- (֯Ο ״ ן ֚:) Ƥ ֲִִֵֵ֯֬ֆִֵ֜׻ִ֤֓פ ˛ֳָ֤פߵ ־׻։ֆֲ֬֋ ׼ ֬ ׾ָ ֲִֵ֯֬ ִӛ ׸ פ ִ֯֜- ׾ָֹ כ ־ן ֹ ִ״ִ֓ ע פ ׾ָ֋ ׾ֻ֋ ֳָ֤ ׾ָ׻ֵ ׸ֹ-׸ ִӛ ׸ פ ׾ָֹ כ 㓔׾ ־פ 㓔׾ ֹ ִ״ִ֓ ע ֓--֋ ָ׼ ֬ ׾ָ ׸֋ֹ֬׸ ִӛ ׸ פ ִ㓔׾ ־ןօ ִ

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< ™ ֵ ֵ ֯ ָ Ɵ ־׻ֵ ߮ ֲ֬ ֲָָ ֲ ִֵ֯β֬ ι Ƶ ָ ִֵ֯β֬ ִִֵ ™ ִ ֮ ִֵӴ ™ ι և >

< ִֵ֯β֨ ֮ ִֵӴ ™ ִ ֮ ִֵӴ ™ ι ָ -- ִֵ֯β֨ ãׯ֟ ִ -ֳָ ֟ ׮ֵ ָ ִֵ֯β֨ ִִֵ ™ ִ Σִ ִִֵ ™ ֟ : ----ָ ֟ ׮ֵ ־׻ֵ ߮ ֲ֬ ֮ ־ןԟ ֲ ׾ָ֮ ִֵ֯β֬ ִޛ ָ ֮ ֲָָ Σִ ׮ Ο ׾ָ֮ ן ֯ ױ ֣þֹ ֮ ™ , ֋ ׾ָ֮ ߓ Ԍ ֮ ֟ ׮ָ ׾ָ֮ ׸ ן ֯ ִޛ ָ Ο ׾ָ֮ ן 㓔׾ֿ ֯ ױ 㓔׾ֿ ֣þֹ ֮ ™ , ֓ ֮֮ - ָ ־ןԟ ֲ ׾ָ֮ ׸ ן ֯ ִޛ ָ Ο ן ֮֮ δ 㓔׾ֿ ֯ : δ ׸ ֲ ֲ ן ֯ >

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ӛִ ӛ

Ԉ׸־ֹ֬׸ (֤) ֤״דִ פ

ӯ ֤㓔׾ ִֵ֤֯ ߸ ֻ--ֵ ֤ - ׽׾ִָ㓔׾ (ן ׸׾ִָ֯֌ ן ֚:) פ ֹ- ֌ ֲפ ׸׾ִָ㓔׾ ֳִ ע ִ ֤״֓־׸ ֬ ׸׾ָ֋ ׌׾ֵ ֲִֵ֯֬ Ƥ ֲִִֵֵ֯֬ֆִֵ׻ִ֤֓פ ־׸ ִ֜-ֆ֤ ײפפִ֋ ׾ פ ע ־-㓔ֆ ִֆ ׾ ꤾ ־ֲִֵ֯֬ ִֵֆִֵ׻֤ ָ ֢־ ־׸ ӟָ֤ߤ- (ן ן ֚:) ֤֓ ע ־ ֲִִֵ֯֬-(ִֵֆ--) ִֵ׻ִֹ֤֯

ӯ׬ ֲִִֵֵ֯֬ֆִֵ׻֤ ֹ ߸ - ˛ֳָ֤פ߆ ־׻։ֆֲ-֋ ׼ ֬ ׾ָ ֲִֵ֯֬ ִӛ ׸ פ

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< Ӵ ָ ד δ >

< ֵ 㓔׾ֿ δ ֮ ֻ-ֆ ֮ ׾׬ ֻ֟֟ ָ -- ß֮ ׾ָ֮ δ 㓔׾ֿӴ פ ֵ ֟ ׸ ׾ָ֮ δ -׾ֿӴ ֮ ֵ ֵ, ָ δ ֟ ־ןԟ ֲ ׸ ׾ִָ֮ ״ֻ ִֵ֯β֬ ָ ִֵ֯-֬ ֮ ִֵӴ ™ ִ ֮ ִֵӴ ™ ֟ ׾ֿ ֮ Σִ ִִֵ ™ ִ ׫ߵפ ִֵӴ ™ ׾ֿ ߮ , ֲ 㓔 ִ֮ ׻ֵ ׾ֿ֟ ֮֮ ݵ ָ ֲ ִֵ֯β֬ ֮ ִֵӴ ™ ִ ֮ ִֵӴ ™ ָ ι Ƶ ׾ֿ ֮ ָ֮ ߟ ߮ ָ ֮ ֓ , Ƶ ָ ִֵ֯β֬ ( ֮ ִֵӴ ™ ִ ) ֮ ִֵӴ ™ ι և >

< ֮ ִֵ֯β֨ ֮ ִֵӴ ™ ִ ֮ ִֵӴ ™ ι ָ ----ֳָ ֟ ׮ֵ ־׻ֵ ߮ ֲ֬ ֮֮ ־ןԟ ֲ ׾ָ֮ ִֵ֯β֬ ִޛ ָ >

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ִƵָ ֤׾ ״֢

Թ ִ֯֜ ־ן ֹ ִ--״ִ֓ ע ֤ ֳָ ֋ ֓㲳־֋ ָ ׼ ׾ָ ׸֋ֹ֬׸ ִӛ ׸ פ ִ㓔׾ ־ןօ ִ ׸־ֹ֬׸ ֤ ד פ ֤ ִ֯ ߸ (ן ߸ ן ֚:) ִֹ֯ 㓓֤ - ׽׾ָ-㓔׾ פ ֹ֯֌ ֲפ ׸ײִָ ֳִ (ן- ֳֳ ן ֚:) ע ִ ֤״֓׼ ֬׸׾ָ֋ ׌׾ֵ ֲִֵ֯֬ Ƥ ֲִִֵֵ֯֬ֆִֵ׻ִ֤ݓפ ֲִִֵֵ֯֨ֆכ˛ִֵ׻֤ ֹ ֤ ִִָ ִ֢

ӯ׬ ֲִִִֵ֯֬ 㓓֤ -- 긇֓׸ִ֋ ֤- 㓔 ֲִֵ֯֬, ֟ ֜֯כ ־ ׸ ע ־-ִֻӳ֤ ײפִֵ㓔 ӓֲִֵ֯֬, ֟ ֜-

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< ן ֮ δ Σִ ׮ ֯ ױ ֣- þֹ ֮ ™ , ֓ ֮ ֮֮ -ָ ־ןԟ ֲ ׾ָ֮ ׸ ן ֯ ִޛ ָ ֮֮ δ 㓔׾ֿ ֯ ױ δ -׸ ֲ ן ֯ Ӵ ָ ד : ֵ δ ָ ֮ δ Ɵ ָ -- ß֮ ׾ָ֮ δ 㓔׾ֿӴ פ ֵ ֟ ׸ ׾ָ֮ δ 㓔׾ֿӴ ֮ ֵ ־, ָ δ ֟ ־ןԟ ֲ ׸ ׾ִָ֮ ״ֻ ִֵ֯β֨ ָ ֮ ִֵ֯β֨ ֮ ִֵӴ ™ ִ ֮ ִֵӴ ™ ֟ ָ ֮ ִֵ֯β֬ ֮ ִֵӴ ™ ִ ֮ ִֵӴ ™ ι ִ֯ ָ ָδִ֮ ִ֯ >

< ִֵ֯β֬δִ֮ ι ֟ ָ-- ִֵָ־֟ ָ ֟ 㓔 ִֵ֯β֬ δ , , ִ Σִ ׮ ׮ִ ׮ ֲ ׮ ֵ ֟ ׫ߵ ִִֵ ã֟ ӓֵ 㓔 ִֵ֯β֬ δ , , ִ >

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ӛִ ӛ

Գ־֤ פִֵ㓔 (֯ן֚֯ꃵִ Ο פִֵד֤㓔, ֯Ο פִֵӓֵ㓔 ן ֚:) ӓֲִֵ֯֬, ֜-ײפֳ־֤ ֈִֵ㓔 (Ο ֈִֵ㓔 ן ֚:) ׾ ӓֲִֵ֯֬, ֜ ײפ-פ-־֤ פ㓔ֳ־֤ ן ֚:) ꤾ ־ ֓׸ִֆ ע

ӯ׬ Ƶִ֬ כ ׽ӓֵ㓔 ׸-ֲִֵ֯֬ ׸ פָ ײפ㓔- ֵ ꤾ ־ ײפ֓׸ִֆ ע ߆ ִֵƵֆ כ ׽ӓֵ㓔 ׸-׸ֲִֵ֤֯֬ ֤㲳ִ ׸ פָ פ㓔ִ־ֵ ֤ ꤾ ֤ ֢־ ־ ׸֓׸ӓֵ㓔 ע ־׸ ׸ כִֻ֓׸פ֤ ֲִֵ֯֬״ Ƶ ֲִָֻ֟ ֲִֵ֯֬ Ƥ דߋ ֜ӓֵ㓔 ֓פ ע ֢־

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< Σִ ׮ ־ ߵ ִִֵ ã֟ ӓֵ 㓔 ִֵ֯β֨ δ , , ִ Σִ ׫ߵ ׮ ־ ֟ ִִֵ ã֟ 㓔 ִֵ֯β֬ δ , , ִ Σִ ׫ߵ ߵ ׮ ־ ָ ׮ ׮ִ ֮ Ƶ >

< ׬ ׮ δ ֮ ã֟ ӓֵ 㓔 ׮ִ ׮ ִֵ֯β֬ δ פ ׬ δ ׫ߵ ׮ 㓔ֆ ׫ߵ ׮ ׮ִ ִֵ ֮ Ƶ : ִֵ ׬ ׮ֵ ã֟ ӓֵ 㓔 ָ ׫ָ ׮ ߮ ִֵ֯β֬ ֟ δ פ ׬ δ ߵ ׮ 㓔ֆ ֮ Ƶ ָ ׮ִ ׮ ׮ִ ӓֵ 㓔 ֮ ֮ Ƶ ׾ֿ ֮ ֟ ׮ֵ ֻֆ ֲָָ ָ פ ׮ֵ ִֵ֯β֬ ׮ֻֿֆ ꮵֳß ׿ ִֵ֯β֬ ָ ד ׮ Σִ ӓֵ 㓔 ֟ , Ʈ Ƶ >

< Ƹ-- ִֵָ־֟ ָ ָ ָ ִֵ ָ ׮ ƻ ִֵ֯β֬ Ӭ ֵ ָ ׮ֵ ִ , >

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ִƵָ ֤׾ ״֢

ӯ 㓔 ֲִֵ֯֬ ׾ֵ

6300

ߋ ֤ -ֲִִֵ֯֬ ן

6300

8

ߋ ֋ ֜ ֤ ִ֯֜ ן

512

7

2

- (Ο ן ֚:) 㓔׾ (-֯Ο: ׾, ֯Ο ׾״ ן ֚:) ע ˙ 㓔׾

< ָ֤鬤 ֪וֿ֟ ֤: >

< ֓ӯֱ֟ ִƟ (-֯Ο: ִƟ ן ֚: --Ο: ִƟ׮ ן ֚:) ׮ֱִ֯֟ (.. ß 5 .193. .. 2 . 300.) 15 >

ԋߋ ֋ ֵ ִ֜֯ עֵ פ

512

6

7

12

ִֆ ן ׾ ߆ ꤾֆ ־ִ֤֯֯ ִ֜֯ ׾׸ עֵ ן ־׸ 㓔ֆ

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< ׮ֵ ד֟ ָ ׮ֵ - 3200 + 1600 + 800 + 400 = 6000; 6400 - 6000; = 400; ָ ׮ֵ ꮵֳß ׿ 2 x 2 x 2 x 2 = 16; 6400 ( 16 = 400 >

< 㓔 ִֵ֯β֬ (6300) δ ãׯ֟ ׮ ֟ ָ ׮ ֡ ִֵ֯β֬ ֲָָ 6300 x 8 ױ ׮ ֮ Σִ ׮ ֟ ָ ׮ ֮ δ Σִ ׮ --(Σִ ׮ 512; ׮ 7; ֮ 7 x 8/2 = 28) 512 x 7 x 8/2 : ֵԌ ׮ ׮ ָ ֮ δ 㓔׾ֿ ߮ , 㓔׾ֿ >

< פ ׬ δ ֤ δ ׬ ֯ ִܵ, ִ ãׯ֟ פ ֤ δ ׬֟ ܵ ָ ֓ ֲָָ ӯֱ֟ ԟ Ο δ ֟ ãׯ֟ ܵֆ ֟ ָ ׮ֱ֯֟ ԟ ׫ӵ פ δ ֯ 15 >

< ֵ (֣) ָ (6/2 x 7/2 x 8/3 = 56; 32 x 56) Σִ ׮ δ ָ ֮ 512 x 6 x 7/12 ָ ߮ ׿ֵ ãׯ֟ Ƶ ֲ ׮ֵ ֮ ֮ Σִ ׮ δ ָ ָ ֣ ֮ >

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ӛִ ӛ

㓔׾ ֓ן

6300

8

3100

8

1500

8

700

 

8

300

8

100

8

512

78 2

256

78 2

128

78 64

2

78

2

32

 

78

2

16

78

2

512

67

12

256

67

12

128

67

12

64

67

12

32

67

12

16

67

12

׾ ׸ ӟ (֯Ο ן ֚:) ׾ֵ ִ -- -Ƶֻֆ ׾ָ׻ֵ ׾ ׸ ֲָ֟ -Ƶֻ ֻֆ ׾ָ׻ֵ ׾ ׸ ֲָ֟ ׼ ֲִִֵ֯֬ ֤ ־ִ֤- ֓פ

6300

8

120

63

ֻֆ ׾ָ׻ֵ ׾ ׸ -ֲָ֟ ֲָ֟ֆ-

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< ׾ֿ֟ ֮ 㓔׾ֿ ֬ ֬ þֹ ֟ --6300 x 8, 3100 x 8, 1500 x 8, 700 x 8, 300 x 8, 100 x 8 512 x (7/1 x 8/2), 256 x (7/1 x 8/2), 128 x (7/1 x 8/2), 64 x (7/1 x 8/2), 32 x (7/1 x 8/2), 16 x (7/1 x 8/2), 512 x (6x7/12), 256 x (6x7/12), 128 x (6x7/12), 64 x (6x7/12) 32 x (6x7/12), 16 x (6x7/12) ׿ֵ ֮ ִ ãׯ֟ ֮ ָ -- ׬ ֮׮ֻֿֆ ׾ָ֮ ָïָ , ָ ׿ ֯ ִ ׬ ֮׮ֻֿֆ ֮׮ֻֿֆ ׾ָ֮ ָïָ ֟ ָ ֯ ׿ִ ־ןԟ Ƶ ָ ֲ ׮ δ ִֵ֯β֬ ֟ ָ ִß ֟ --( ׬ ֮׮ֻֿ֋ 6 + 1 = 7; 2 2 2 2 2 2 2 ) ꮵֳß ׿ 128;

1 1 1 1 1 1 1

׬ ֮׮ֻֿ֋ 6 + 2 = 8; 128 - 8 = 120; .. ֻ 6; 2 2 2 2 2 2

1 1 1 1 1 1

ꮵֳß ׿ 64; 64 - 1 = 63) 6300 x 8 x 120 = (6300 x 8) + (3100 x 8) + (1500 x 8)

63

+ (700 x 8) + (300 x 8) + (100 x8) = 96000 ױ ֮׮ֻֿֆ ׾ָ֮ ָïָ ָ ׿ ֯ ִ ꮵֳß ׿ ־ןԟ ֲ ָֿ-- ֟ ָ ֮ --512 x (7 x 8/2) x 63/32 = (512 x 28) + (256 x 28) + (128 x 28) + (64 x 28) + (32 x 28) + (16 x 28) = 28224 512 x (6 x 7/12) x 63/32 = (512 x 42/12) + (256 x 42/12) + (128 x 42/12) + (64 x >

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ִƵָ ֤׾ ״֢

Ծ׼ ׾ ׸ָ߆ ֤ עֵ פ-

512

78

2

63

32

512

 

67

12

63

32

׽׸ִָ׸׸ ״ Ƶ ֲִִֵ֯֬ ֹ ꕕפ- ֆָ-ֳ ֤ ֲִֵ֯֬ ֲן פ˚

6300

100

7

42

6

8

ӓֲִִֵ֤֯֬ Ƥ ֲִֵ֯֬ ֓ן פ˚

11

167

525

Ԇ־, ׸ִֵ긇 ׸֤״ ߋ ִ㓔׾ ֤

 

7

8

9

6

- ִ֓׸ ן ִִ

7

8

9

6

׾ִֹֻ㓔׾ ׸- ִ֯ ֋

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< 42/12 ) + (32 x 42/12) + (16 x 42/12) = 3528 ױ ߓ ׿ ָ ׿ִ ֙ ִֵ֯β֬ δ ָ ܵ֟־ ָ ֙ ׮֟ ֡ ִֵ֯β֬ ֵ ֟ Ӥ™ --[(512 x 7x8 /2 x 63/32)-(512 x 6x7/12 x 63/32) = 8 x (7 x 8 x 63) - (8x7x63) = 7 x (7x8x63) = 42/6 x 7 x8 x 6300/100 = ) 6600/100 x 7 x 42/6 x 8 ׮ δ ִֵ֯β֨Ӵ ָ֮֙ ׮ ׬ ָƾ ׮ δ ִֵ֯β֨ ֟ Ӥ™ --11 167/525 >

< ־, ָ ִֵ־֟ ָ ׮ִ ׮ ִ ׮ ֮֮ δ 7/1 x 8/2 x 9/3 = 84 㓔׾ֿ ָ ֿ -׮ ֮ ֡ ׮ִ ׮ δ --׮ִ ׮ 9; ׮֮ 8 x 9/2; 9 x (8x9 /2 ) Ԍ ׮ ֮֮ δ 㓔׾ֿ ָ ׮ δ ָ ׮ ֮ ߵ ָ ׮ --Ԍ 㓔 84; ׮ִ ׮ 9; -׮ ֮ 7 x 8/2 = 28; ߵ 28/3; 84 = (9 x 28/3) >

< ן

11

167

575

>

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ӛִ ӛ

ן ִ֓׸

9

7

8

6

(< ן

9

7

85

>) ׸׽-ꤴ֤ ִ֓׸-֤ ׬ֵ פ ן֓׸ִ֤ꤴ֤ ֈ ִ֓׸-׸-֤ Ƶ פ ֤׸ִ֤ꤴ֤ ִ֓׸-׸ (-ן֓׸-) Ƶ פ ꤾ ־ ׸ִֵ긇֯֜ ע ӯ ߸ ׸֤ ־ ֤ ֋ ןֳִꕕפ֤֓ ֤ ׸ ן

9

8

96

4

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< ׾ֿ֣--׮ִ ׮ 9 + 19 + 30 + 42 + 55 + 69 + 84 + 100 = 408 ִ ָ ֵ ֵ 㓔׾ֿ δ ָ - >

 

< Σִ ׮ .׾ֿ >

9 1 x 9 0

19 2 x 9 1

30 3 x 9 3

42 4 x 9 6

55 5 x 9 10

69 6 x 9 15

84 7 x 9 21

100 8 x 9 28

408 324 84

< ױ ׫ָ ׮ִ ã֟ ׮ ֡ ׮ִ ׮ ׬ (׫ָ ׮ 118 + 138 + 160 + 184 + 210 + 238 + 268 + 300 = 1616; 408 x 2 = 816, 8 x 100 = 800, 816 + 800 = 1616) סָ֓ ׮ ׮ δ ָ ׫ָ ׮ֵ ׬ [ סָ֓ ׮ 4032 = (408 x 4) + (8 x 100) + (2 x 800) ] ֟㿓ָ ׮ ֚- ׮ δ ָ, ׫ָ סָ֓ ׮ֵ ׬ (֟㿓ָ ׮ 8864 = (408 x 4) + (8 x 100) + (8 x 200) + (8 x 400) ָ ָ ִֵ־֟ ָ Σִ ׮ ֮ Ƶ ֮ ׮ִ ׮ (408) ״ֻ֮ Ƶ ָ ׮ ֮ ߵ ܵ֟־ (2/9) ߮ ָ 34/9 ֟ ָ ֯ ֮ ֡ ׮ִ ׮ -- ׮ִ ׮ 9; ׮֮ ߵ 8 x 9/6 = 12; 9 x (4 x 7/6 x 35/7) = 408 ױ ֮- >

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