CHAPTER VII-MEASUREMENT OF AREAS .
247
1924. There are 49 hosts in the measurement of the height
%f a bamboo (as it is growing). It is broken somewhere between
(the top and the bottom). The distance (between the fallen top
on the foor and the bottom of the bamboo) is 21 hostsHow
far away (from the foot) is it broken?
1984-1954. The height of a certain tree is 20 hrsta8. A
certain man scated on the top (of it) threw down a fruit thereof
along a path forming a hypotenuse, Then another man standing
at the foot of the tree went towards that fruit taking a path repre-
senting the other side (i.e., the base of the triangle in the situation)
and received that fruit. The sum of the distances travelled by
that fruit and this man turne out to be 50 hostsWhat is the
numerical value of the hypotenuse representing the path of that
fruit ? What may be the measure of the other sido representing
the path of the man who was at the foot of the tree
The numerical value (of the height) of a taller pillar as also the
numerical value (of the height) of a shorter pillar is known. The
numerical value (of the length) of the intervening space between
the two pillare is 8lso known. 'The taller (of the two pillars) gets
broken and falls so that the top thereof rests on the top of the
shorter pillar, (the other end of the broken bit of the taller pillar
being im contact with the top of the remaining portion thereof).
And now the rule for arriving at the numerical value (of the
length) of the broken part of the taller pillar as also at the numeri
cal value (of the height of the remaining part (of the same taller
pillar);
1963. From the square of (the numerical measure of) the
taller (pillar), the sum of the square of the measure of the shorter
b
196). If a represents the height of the taller pillar
and b that of the shorter pillar, the length of the inter
yening space between them, and of the height of the
standing portion of the broken pillar, bhen, according to
the rule (8° +c°)
2 (d 01

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