`1
`2`1

`3`3
Choose a pop-up menu by
arrows =>, <= and <ENTER>,
or by a highlighted letter
`4`1
Click a pop-up menu
`5`7
Choose a menu item by arrows
<up>, <down> and <ENTER>, or
by a highlighted letter.
Choose another pop-up menu
by arrows  => and <=. Press 
<F1> again to see menu
items' functions
`6`4
Click a menu item or an-
other pop-up menu. Click
"Help" to see menu items'
functions
`7`1
Get the menu by <F2>
`8`5
Enter your answer by keys
<0>..<9>,(and <.>, if neces-
sary) and <ENTER>, or break
off by <F2>. Give angle mea-
sure in degrees!
`9`4
Enter your answer by pressing
the letter which notes the
required point and <ENTER>,
or break off by <F2>
`10`6
Enter your answer by pressing,
in any order, the letters
which notes the terminal
points of the required segment
and <ENTER>, or break off by 
<F2>
`11`5
Enter your answer by pressing,
in order, the letters which
notes the vertices of the so-
lution and <ENTER>, or break
off by <F2>
`12`1
Press any key
`13`3
Copy out the result on the
note-pad (press <F3>), or get
the menu by <F2>
`14`4
Copy out the result on the
note-pad (press <F3> or click
"Note-pad" below), or click a
pop-up menu
`15`2
If <y>, the segment will
vanish
`16`2
If <Yes>, the segment will
vanish
`17`6
Type any text. The keys <=,
=>, <up>, <down>, <BS>,
<DEL>, <ENTER> have usual
functions. Delete an entire
line by <Ctrl+Y>. Get the
menu by <F2>
`18`7
Type any text. The keys <=,
=>, <up>, <down>, <BS>,
<DEL>, <ENTER> have usual
functions. Delete an entire
line by <Ctrl+Y>. Get the
menu by <F2> or click a pop-
up menu
`19`4
If the last section is surely
the required one, press <y>.
Otherwise, do not hurry to
answer affirmatively now!
`20`5
If the last section is surely
the required one, click <Yes>.
Otherwise, do not hurry to 
give an affirmative answer 
now!
`21`4
In this problem a section is
required, so you should cut
the polyhedron first. Get the
menu by <F2>
`22`4
In this problem a section is
required, so you should cut 
the polyhedron first. Click
a pop-up menu
`23`5
Enter your answer by pressing,
in any order, 2 letters which
notes the required straight
line and <ENTER>, or break
off by <F2>
`24`1

`25`6
Move the cursor by arrows =>,
<=, <up>, <down>, then "press"
it by <ENTER>. Green keys may
be pressed on your PC's key-
board directly. Get the menu
by <F2>
`26`2
Click calculator's keys or a
pop-up menu
`27`5
Revolve the polyhedron about
the vertical axe by keys <=,
=>, or about the horizontal
axis by keys <up>, <down>.
Get the menu by <F2>
`28`5
Click the <= and => (<up>,
<down>) frames to revolve the
polyhedron about the vertical
(horizontal) axis, or click a
pop-up menu
`29`5
Choose one of polyhedra by
<l>, <r> or <i>. If the poly-
hedron is just sectioned, the
choice <i> glues it back 
immediately
`30`5
Click in <Left>, <Right> or 
<Initial>. If the polyhedron
is just sectioned, the choice
<Initial> glues it back
immediately
`31`4
If <y>, the initial polyhed-
ron will be glued back and
all lines drawn on its two
pieces will vanish
`32`4
If <Yes>, the initial polyhed-
ron will be glued back and
all lines drawn on its two
pieces will vanish
`33`9
HYPOTHESIS: remember the hy-
pothesis
ANSWER: choose only if surely
you are ready to answer the
problem
ANOTHER PROBLEM: leave the
current problem and take ano-
ther
QUIT: quit POLYHEDRON
`34`15
CALCULATOR: use the built-in
calculator
NOTE-PAD: type on the built-in
note-pad
GRADUATED RULER: measure the
distance between two points
PROTRACTOR: measure an angle
RULER: join two points by a
segment
SETSQUARE: draw a perpendicu-
lar from a point to a
straight line
COMPASSES: lay off a segment
of given length
RUBBER: erase a segment
`35`9
BISECT SEGMENT: divide a seg-
ment into two equal parts
BISECT ANGLE: divide an angle
into two equal parts
INTERSECT: construct the in-
tersection point of two seg-
ments
CUT: section the polyhedron
through three points
`36`6
OPAQUE: paint the polihedron's
faces
TRANSPARENT: draw a classical
image of the polyhedron
NOTATION: designate/unde-
signate the polyhedron
`37`8
REVOLVE: revolve the polyhe-
dron about a vertical or a 
horizontal axis
CHOOSE: choose one of cut off
pieces
GLUE: nullify a section, to-
gether with all constructions
performed on the two pieces
`38`2
Click a point or break off
by clicking a pop-up menu
`39`2
Type a letter which designates
a point or break off by <F2>
`40`3
Drag the arrow close to the
desired point and fix it by
<ENTER>, or break off by <F2>
`41`5
Enter the length of the seg-
ment you would like to lay
off, by keys <0>..<9> (and
<.>, if necessary) and
<ENTER>, or break off by <F2>
`42`3
Cannot measure the distance
between two points which
do not belong to the same face
`43`3
Cannot measure an angle whose
sides do not belong to the
same face
`44`4
Perhaps you are trying to
join two points which do not
belong to the same face.
Cannot do this!
`45`3
This segment has been drawn
before or represents a poly-
hedron's edge
`46`4
The number of segments that
may be drawn is limited.
You have gone beyond this li-
mit. Get the menu
`47`2
Cannot draw a perpendicular to
an unexistent line
`48`6
There are more than one per-
pendicular, lying in different
faces. Click a point inside
the desired face. Switch to
opaque model of the polyhedron
first
`49`7
There are more than one per-
pendicular, lying in different
faces. Drag the arrow to a
point inside the desired face
and fix it by <ENTER>. Switch
to opaque model of the poly-
hedron first
`50`4
The number of points that may
be designated is limited.
You have gone beyond this li-
mit. Get the menu
`51`4
The number of division points
of a segment is limited.
You have gone beyond this li-
mit. Get the menu
`52`4
The three points which you
are cutting the polyhedron
through cannot belong to the
same face
`53`5
Perhaps you are trying to
draw a perpendicular that
lies either inside, or out-
side the polyhedron. Cannot
do this! Only on its surface!
`54`3
The segment that you lay off
cannot exceed the one that
you lay  o n
`55`2
The segment to be erased
does not exist
`56`2
Cannot erase a polyhedron's
edge
`57`2
The segment to be bisected
does not exist
`58`3
The point that bisects the
segment has been constructed
before
`59`3
The segment that bisects the
angle has been constructed
before
`60`4
Perhaps you are trying to
bisect an angle whose sides
do not belong to the same
face. Cannot do this!
`61`3
The point of intersection of
these segments has been con-
structed before
`62`3
Both segments to be intersec-
ted should be constructed
first
`63`2
These segments do not inter-
sect
`64`5
Cannot cut twice! If a new
section is strongly neces-
sary, nullify the current one
by chosing the "Glue" item
from "Manipulate" pop-up menu 
`65`4
If you press <y>, you will
break off solving this prob-
lem and, consequently, loose
all your results
`66`4
If you click <Yes>, you will
break off solving this prob-
lem and, consequently, loose
all your results
