AND/OR Logic by Linkages

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2020-01-12 11:39

This example demonstrates AND and OR logic operations using linkages. It involves logical operations and geometric constructions. Using commands like Circle, Intersect, Midpoint, Ray, Segment, Point, Distance, a linkage model is constructed. Suitable for high school or university logic and geometry courses.

GeoGebra Commands & Parameters

Circle(A, arm1) → c_1
Circle(B', arm1) → h'
Intersect(h', c_1, 1) → F
Circle(B, arm1) → h
Intersect(h, h') → P, Q, ,
Midpoint(F, Q) → R
Ray(B', R) → b
Intersect(b, yAxis) → S
Segment(A, B) → f
Segment(A', B') → f'
Point(f) → C
Point(f') → D
Circle(C, arm1) → c
Circle(D, arm1) → d
Intersect(c, d, 2) → E
Distance(Q, S) → arm2
Circle(E, arm2) → e
Intersect(e, yAxis, 2) → G
Intersect(c, d, 1) → H
Circle(H, arm2) → g
Intersect(g, yAxis, 1) → I
Intersect(h, h', 1) → J
Circle(J, arm2) → k
Intersect(k, yAxis, 1) → K
Circle(K, y(A)) → p
Intersect(p, yAxis, 2) → L
Intersect(h, h', 2) → M
Circle(M, arm2) → q
Intersect(q, yAxis, 2) → N
Circle(N, y(A)) → r
Intersect(r, yAxis, 2) → O
Segment(D, H) → i
Segment(C, H) → j
Segment(H, I) → l
Segment(D, E) → m
Segment(C, E) → n
Segment(E, G) → s
Segment(N, O) → t
Segment(L, K) → a

AI Drawing Prompt Reference

Draw a linkage model for AND and OR logic gates. Start by drawing two circles c1 and h', then use their intersection points F and P, Q to determine the linkage b. Next, draw point S on the y-axis and use points C and D to draw circles c and d, then use their intersection point E and H to draw linkages i, j, l, m, n, s, t, a. Finally, use points G, I, K, L, M, N, O to draw linkages i, j, l, m, n, s, t, a, completing the AND and OR logic gate linkage model.

The prompt above was compiled from the original drawing commands and is for reference only.