पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

PLANE FIGURES 89
Ex. 126. If you know the method of finding the area
of plane figures, say the area of the isosceles triangle, whose
(flank) sides are (each) 5 cubits, altitude is 3 cubits, and base
8 cubits.
Ex. 127. In a quadrilateral, the face is 1⅓ cubits, the
base is 9⅓ cubits, the (flank) sides are (each) 5 cubits, and
the altitude is 3 cubits. What is the area of that ?
Ex. 128. Say what will be the area of the (quadrila-
teral) figure, whose base is 39 (cubits), (flank) sides and face
are (each) 25 (cubits), and altitude is 24 (cubits).
Ex. 129–30. In an inequilateral quadrilateral with equal
altitudes, the base is 10 cubits, the face is 4⅛ (cubits), the flank
sides are 9–⅓ and 6+½ (cubits), and the altitude is 6½ cubits
minus 1/60 of an aṅgula. What is the area thereof ?
Instruction regarding plane figures of the shape of an elep-
hant’s tusk, a felloe, a crescent moon, and a thunderbolt :
116. A figure of the shape of an elephant’s tusk (may
be considered) as a triangle, of a felloe as a quadrilateral,
of a crescent moon as two triangles, and of a thunderbolt as
two quadrilaterals.¹
Ex. 131. What is the area of (the figure of the shape of)
an elephant’s tusk whose base is 2 cubits and altitude 3 cubits ;
and also of the figure of the shape of a felloe whose base and
face are (each) 3 cubits and altitude is 10 cubits ?
Ex. 132. The central length of (a figure of the shape
of ) a crescent moon is 8 cubits, and the central width 3
cubits. Treating it as made up of a pair of triangles, quickly
say what its area is ?
Ex. 133. In (a figure of the shape of ) a thunderbolt,
the central length is 10 cubits, the faces are each 5 cubits,
and the central width is 2 cubits. What is its area, if it be
regarded as made up of two quadrilaterals ?
¹ Similar statements are made in MSi, xv. 101 and GK, II, p. 10,
lines 2-4.