पृष्ठम्:Rekha Ganita.djvu/६७०

विकिस्रोतः तः
एतत् पृष्ठम् अपरिष्कृतम् अस्ति
11
has a third part, if 4 measure any number, that number has a
fourth part and so fourth.
Prop XXXVIII.
Bil.'s enunciation of it is:-
* If a number have any part, the number' whereof the part
taketbh its denomination shall measure it.'
BOOK VIII.
Prop. XVI.
If between two like superficial numbers there is a mean
proportional number, then he ratio of the products shall be
equal to the square of the ratio of their sides of like proportion.
सजातीयघातफळी:Products of two numbers which are bheir
sides (शुओं) are called बातफलाका and when the sides are in the
same ratio. the products are said to be like or similar.
6 and 24 have 2 and 8 and 4 and 6 respectively as their sides
and 2 and 3 are in the same ratio as are 4 and 6. 6 and 24 are
their like superficial or plain numbers
Prop XVII.
सजातीयघनफळे=Solid numbers are thoso which are products
of three numbers. Like solid numbers, 80 and 240, have 2, 3
and 5, and 4, 6 and 10 as their sides and these sides are in the
same ratio. Therefore 30 and 240 are similar Bolid numbers
BOOK IX.
क
Prop. XII.
Page 49 करूिपत in 8 seems to be impropar. It should be
,
Prop. XXVII
Page 55 L 15. It should be शेषः अजं जदम् instead of शेषः
Prop. XXXVII.
If in a certain series of numbers which are in the same ratio
a number equal to the second be taken from the first and also
from the last, then the ratio of the first remainder to bho first
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