Simple 3D Problems 1

GeoGebra Commands & Parameters

1. Circle(O, Radius) → axiscircle
2. Point(axiscircle) → Y
3. Segment(O, Y) → OX
4. Point(axiscircle) → Z
5. Segment(O, Z) → OZ
6. Line(A, OZ) → yaxis
7. Point(yaxis) → edgeYPt
8. Segment(A, edgeYPt) → edgeY
9. Point(axiscircle) → X
10. Angle(X, O, Z) → α
11. Segment(O, X) → OY
12. Line(A, OY) → CParallelCB
13. Point(CParallelCB) → edgeXPt
14. Polygon(edgeYPt, A, edgeXPt) → MaxBase, MaxBaseEdge2, MaxBaseEdge1, MaxBaseEdge3
15. PointIn(MaxBase) → C
16. Line(A, C) → MaxBaseDivider
17. Intersect(MaxBaseEdge3, MaxBaseDivider) → MaxBaseDividerPt
18. Polygon(MaxBaseDividerPt, A, edgeXPt) → MaxBaseLowerHalf, MaxBaseLowerHalfEdge2, MaxBaseLowerHalfEdge1, MaxBaseLowerHalfEdge3
19. PointIn(MaxBaseLowerHalf) → B
20. Polygon(A, B, C) → Base, AB, BC, AC
21. PointIn(Base) → K
22. Line(K, OX) → VerticalFromBase
23. Point(VerticalFromBase) → VerticalFromBasePt
24. Segment(K, VerticalFromBasePt) → MaxHeight
25. Point(MaxHeight) → D
26. Line(K, OZ) → KParallelZ
27. Line(K, OY) → KParallelX
28. Intersect(KParallelX, edgeY) → K_Z
29. Line(C, OY) → CParallelX
30. Intersect(CParallelX, edgeY) → C_Z
31. Line(C, OZ) → CParallelZ
32. Segment(A, edgeXPt) → edgeX
33. Intersect(KParallelZ, edgeX) → K_X
34. Circle(A_P, LengthDA / Scale) → CircleAtA_P
35. Intersect(CParallelZ, edgeX) → C_X
36. Circle(C_P, LengthDC / Scale) → CircleAtC_P
37. Line(B, OY) → BParallelX
38. Line(B, OZ) → BParallelZ
39. Intersect(BParallelZ, edgeX) → B_X
40. Intersect(BParallelX, edgeY) → B_Z
41. Circle(C_Q, LengthDC / Scale) → CircleAtC_Q
42. Circle(B_Q, LengthDB / Scale) → CircleAtB_Q
43. OrthogonalLine(K, AC) → KPerpendicularAC
44. Intersect(KPerpendicularAC, AC) → KonAC
45. Point(AB) → M
46. Line(M, OY) → MParallelX
47. Line(M, OZ) → MParallelZ
48. Intersect(MParallelZ, edgeX) → M_X
49. Intersect(MParallelX, edgeY) → M_Z
50. Point(OX) → RightAngleDistance
51. Vector(O, RightAngleDistance) → u
52. Translate(K, u) → DKA3
53. Line(A, OX) → zaxis
54. Point(zaxis) → edgeZPt
55. Segment(A, edgeZPt) → edgeZ
56. Segment(K, D) → KD
57. Segment(A, D) → DA
58. Segment(D, C) → DC
59. Segment(D, B) → DB
60. Segment(B_Q, C_Q) → BC_Q
61. Intersect(CircleAtB_Q, CircleAtC_Q) → D_Q, D_{Q'}, ,
62. Segment(C_Q, D_Q) → DC_Q
63. Segment(D_Q, B_Q) → DB_Q
64. Segment(D_S, M_S) → DM_S
65. Segment(D_S, K_S) → DK_S
66. Segment(C_R, A_R) → AC_R
67. Segment(A_R, B_R) → AB_R
68. Segment(B_R, C_R) → BC_R
69. Segment(K_R, A_R) → KA_R
70. Segment(K_R, B_R) → KB_R
71. Segment(K_R, C_R) → KC_R
72. Segment(K, M) → MK
73. Segment(D, M) → DM
74. Segment(K_R, M_R) → KM_R
75. Circle(K, KVertical) → CircleAtK
76. Intersect(CircleAtK, MK) → KHorizontal1,
77. Line(KHorizontal1, KD) → KPerpendicularMK
78. Line(KVertical, MK) → KParallelMK
79. Intersect(KParallelMK, KPerpendicularMK) → KAngle1
80. Segment(KHorizontal1, KAngle1) → KAngleVertical1
81. Segment(KAngle1, KVertical) → KAngleHorizontal1
82. Line(KVertical, AC) → KParallelAC
83. Intersect(CircleAtK, AC) → KHorizontal2, KHorizontal3
84. Line(KHorizontal3, KD) → KParallelDK2
85. Line(KHorizontal2, KD) → KParallelDK1
86. Intersect(KParallelDK2, KParallelAC) → KAngle3
87. Intersect(KParallelDK1, KParallelAC) → KAngle2
88. Segment(KHorizontal3, KAngle3) → KAngleVertical3
89. Segment(KAngle3, KVertical) → KAngleHorizontal3
90. Segment(KVertical, KAngle2) → KAngleHorizontal2
91. Segment(KAngle2, KHorizontal2) → KAngleVertical2
92. Intersect(CircleAtK, BC) → KHorizontal4, KHorizontal5
93. Line(KHorizontal4, KD) → KParallelDK3
94. Line(KHorizontal5, KD) → KParallelDK4
95. Line(KVertical, BC) → KParallelBC
96. Intersect(KParallelDK3, KParallelBC) → KAngle4
97. Intersect(KParallelDK4, KParallelBC) → KAngle5
98. Segment(KVertical, KAngle4) → KAngleHorizontal4
99. Segment(KHorizontal4, KAngle4) → KAngleVertical4
100. Segment(KVertical, KAngle5) → KAngleHorizontal5
101. Segment(KAngle5, KHorizontal5) → KAngleVertical5
102. Segment(A_{R2}, A_{R3}) → A_RAngleHorizontal
103. Segment(A_{R1}, A_{R3}) → A_RAngleVertical
104. Segment(B_{R3}, B_{R2}) → B_RAngleHorizontal
105. Segment(B_{R1}, B_{R2}) → B_RAngleVertical
106. Circle(B, BAnglePoint1) → CircleAtB
107. Intersect(CircleAtB, BC) → BAnglePoint2,
108. Line(BAnglePoint2, edgeX) → BParallelX1
109. Line(BAnglePoint1, BC) → BParallelZ1
110. Intersect(BParallelZ1, BParallelX1) → BAnglePoint3
111. Segment(BAnglePoint1, BAnglePoint3) → BAngleLine1
112. Segment(BAnglePoint3, BAnglePoint2) → BAngleLine2
113. Circle(C, 0.5) → CircleAtC
114. Intersect(CircleAtC, AC) → CAnglePoint2,
115. Line(CAnglePoint2, BC) → CParallelBC
116. Circle(C_R, 0.5) → CircleAtC_T
117. Intersect(CircleAtC_T, AC_R) → C_{R1},
118. Intersect(CircleAtC_T, BC_R, 1) → C_{R2}
119. Line(C_{R1}, BC_R) → C_TParallelBC
120. Line(C_{R2}, AC_R) → C_TParallelAC
121. Intersect(C_TParallelBC, C_TParallelAC) → C_{R3}
122. Segment(C_{R3}, C_{R1}) → C_RAngle1
123. Segment(C_{R3}, C_{R2}) → C_RAngle2
124. Intersect(CircleAtC, BC) → CAnglePoint1,
125. Line(CAnglePoint1, AC) → CParallelAC
126. Intersect(CParallelAC, CParallelBC) → CAnglePoint3
127. Segment(CAnglePoint2, CAnglePoint3) → CAngleLine1
128. Segment(CAnglePoint3, CAnglePoint1) → CAngleLine2
129. Circle(A, 0.5) → CircleAtA
130. Intersect(CircleAtA, AC) → AAnglePoint1,
131. Intersect(CircleAtA, AB) → AAnglePoint2,
132. Line(AAnglePoint1, AB) → AParallelAB
133. Line(AAnglePoint2, AC) → AParallelAC
134. Intersect(AParallelAC, AParallelAB) → AAnglePoint3
135. Segment(AAnglePoint2, AAnglePoint3) → AAngleLine1
136. Segment(AAnglePoint3, AAnglePoint1) → AAngleLine2
137. Circle(M_R, 0.5) → CircleAtM_T
138. Intersect(CircleAtM_T, AB_R) → M_RAnglePoint1, M_RAnglePoint2
139. Intersect(CircleAtM_T, KM_R) → M_RAnglePoint3,
140. Line(M_RAnglePoint1, KM_R) → M_TParallelMK2
141. Line(M_RAnglePoint3, AB_R) → M_TParallelAB
142. Line(M_RAnglePoint2, KM_R) → M_TParallelMK1
143. Intersect(M_TParallelMK2, M_TParallelAB) → M_RAnglePoint4
144. Intersect(M_TParallelMK1, M_TParallelAB) → M_RAnglePoint5
145. Segment(M_RAnglePoint2, M_RAnglePoint5) → M_RAngleLine1
146. Segment(M_RAnglePoint5, M_RAnglePoint3) → M_RAngleLine2
147. Segment(M_RAnglePoint1, M_RAnglePoint4) → M_RAngleLine3
148. Segment(M_RAnglePoint4, M_RAnglePoint3) → M_RAngleLine4
149. Intersect(CircleAtC_P, CircleAtA_P) → D_P, D_{P'}, ,
150. Segment(D_P, A_P) → DA_P
151. Segment(D_P, C_P) → DC_P
152. Segment(A_P, C_P) → AC_P
153. Midpoint(A, C) → MidPointAC
154. Midpoint(A_R, C_R) → MidPointAC_R
155. Midpoint(A, B) → MidPointAB
156. Midpoint(A_R, B_R) → MidPointAB_R
157. Midpoint(B, C) → MidPointBC
158. Midpoint(B_R, C_R) → MidPointBC_R
159. Midpoint(D_Q, C_Q) → MidPointDC_Q
160. Midpoint(D, C) → MidPointDC
161. Midpoint(D, B) → MidPointDB
162. Segment(M_S, K_S) → MK_S
163. Midpoint(B_Q, C_Q) → MidPointBC_Q
164. Midpoint(B_Q, D_Q) → MidPointDB_Q
165. Midpoint(M, K) → MidPointMK
166. Midpoint(D, K) → MidPointDK
167. Midpoint(M, D) → MidPointDM
168. Midpoint(M_S, K_S) → MidPointMK_S
169. Midpoint(D_S, M_S) → MidPointDM_S
170. Midpoint(D_S, K_S) → MidPointDK_S
171. Midpoint(A, D) → MidPointDA
172. Midpoint(A_P, C_P) → MidPointAC_P
173. Midpoint(D_P, A_P) → MidPointAD_P
174. Midpoint(D_P, C_P) → MidPointCD_P
175. Angle(D_S, K_S, M_S) → DKM_S
176. Angle(D_P, A_P, C_P) → DAC_P
177. Angle(A_P, C_P, D_P) → DCA_P
178. Angle(D_Q, C_Q, B_Q) → DCB_Q
179. Angle(C_Q, B_Q, D_Q) → DBC_Q