Center Of Mass Of A Triangle(Barycentre) - Casio fx-3650P Programming Manual

Programmable scientific calculator
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19
Center of mass of a triangle
The three medians of a triangle all meet at a single
point. This point is called the "center of mass" (or
barycentre).
The center of mass divides each line in half.
For a triangle with corner points
the center of mass is given:
OA
+
OB
OP
=
-------------------------------------- -
ON
MODE
?→ X:?→ Y:X → A:Y → B:?→ X:?→ Y:X → C:Y → D:?→ X:?→ Y:
(A + C + X)÷3→ X: (B + D + Y)÷3→ Y:X
INPUT
X, Y (first time):
OUTPUT
X, Y: center of mass
The center of mass for a triangle with corners A(1,0),B(0,3) and C(-1,0) is P(0,1).
Prog
1
EXE
1
0
0
EXE
3
1
EXE
EXE
28
A B
,
+
OC
3
MODE
MODE
A
X, Y
(
) X, Y(second time) :
P(X, Y)
EXE
EXE
0
EXE
C
and
,
PRGM
COMP
1
MODE
B
S A
S A
S A
S A
(barycentre)
A
P
B
O
1
1
Y < 67 STEP >
X, Y
(
) X, Y(third time) : C(
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
C
X, Y
)
G
G
G
Disp
G

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