Powers that can be calculated on POLYPHASE (AKA Rietz) layout slide
rule using only simple operation with single slide movement.
Body:[K A D], slide:[B CI C]
Direct
Formula | Scales | Operation |
u3 |
[K,D] |
uD=>K(r) |
u2 |
[A,D] |
uD=>A(r) |
[B,C] |
uC=>B(r) |
u3/2 |
[K,A] |
uA=>K(r) |
u2/3 |
[A,K] |
uK=>A(r) |
u1/2 |
[D,A] |
uA=>D(r) |
[C,B] |
uB=>C(r) |
u1/3 |
[D,K] |
uK=>D(r) |
u-1/2 |
[CI,B] |
uB=>CI(r) |
u-1 |
[CI,C] |
uC=>CI(r) |
[C,CI] |
uCI=>C(r) |
u-2 |
[B,CI] |
uCI=>B(r) |
Simple operation reduced to 1 variable
Formula | Scales | Operation |
u9 |
[K,C,CI,D] |
uCI->uD; uC=>K(r) |
u15/2 |
[K,A,C,CI] |
uCI->uA; uC=>K(r) |
[K,B,CI,D] |
uCI->uD; uB=>K(r) |
u7 |
[K,C,CI] |
uCI->uK; uC=>K(r) |
u6 |
[K,C,D] |
1C->uD; uC=>K(r) |
[K,CI,D] |
uCI->uD; 1C=>K(r) |
[K,C,CI] |
uCI->1D; uC=>K(r) |
[K,A,B,CI] |
uCI->uA; uB=>K(r) |
[A,C,CI,D] |
uCI->uD; uC=>A(r) |
u11/2 |
[K,B,CI] |
uCI->uK; uB=>K(r) |
u5 |
[A,C,CI] |
uCI->uA; uC=>A(r) |
[A,B,CI,D] |
uCI->uD; uB=>A(r) |
u14/3 |
[A,C,CI,K] |
uCI->uK; uC=>A(r) |
u9/2 |
[K,A,C] |
1C->uA; uC=>K(r) |
[K,A,CI] |
uCI->uA; 1C=>K(r) |
[K,B,D] |
1C->uD; uB=>K(r) |
[K,B,CI] |
uCI->1D; uB=>K(r) |
[K,B,C,D] |
uB->uD; uC=>K(r) |
u4 |
[K,CI] |
uCI->uK; 1C=>K(r) |
[A,C,D] |
1C->uD; uC=>A(r) |
[A,C,CI] |
uCI->1D; uC=>A(r) |
[A,CI,D] |
uCI->uD; 1C=>A(r) |
[A,B,CI] |
uCI->uA; uB=>A(r) |
[B,C,D] |
uC->1D; uD=>B(r) |
[K,C] |
1C->uK; uC=>K(r) |
u11/3 |
[A,B,CI,K] |
uCI->uK; uB=>A(r) |
u10/3 |
[B,C,D,K] |
uC->uK; uD=>B(r) |
u8/3 |
[A,CI,K] |
uCI->uK; 1C=>A(r) |
[B,C,K] |
uC->1D; uK=>B(r) |
[A,C,K] |
1C->uK; uC=>A(r) |
u5/2 |
[K,B] |
1C->uK; uB=>K(r) |
[D,A,C,CI] |
uCI->uA; uC=>D(r) |
[K,B,C] |
uB->uK; uC=>K(r) |
[D,B,CI] |
uCI->uD; uB=>D(r) |
u7/3 |
[B,D,K] |
uB->uK; uD=>B(r) |
[D,C,CI,K] |
uCI->uK; uC=>D(r) |
[B,A,C,K] |
uC->uK; uA=>B(r) |
u11/6 |
[D,B,CI,K] |
uCI->uK; uB=>D(r) |
u5/3 |
[C,D,K] |
uC->uK; uD=>C(r) |
[A,B,K] |
1C->uK; uB=>A(r) |
[CI,D,K] |
uCI->uD; uK=>CI(r) |
[A,B,C,K] |
uB->uK; uC=>A(r) |
[B,K] |
uB->1D; uK=>B(r) |
[B,A,C,K] |
uC->uA; uK=>B(r) |
u4/3 |
[CI,K] |
uCI->uK; 1D=>CI(r) |
[B,A,K] |
uB->uK; uA=>B(r) |
[C,K] |
uC->1D; uK=>C(r) |
[B,D,K] |
1C->uK; uD=>B(r) |
[B,C,K] |
uC->uK; 1D=>B(r) |
[D,C,K] |
1C->uK; uC=>D(r) |
[D,CI,K] |
uCI->uK; 1C=>D(r) |
u7/6 |
[C,B,D,K] |
uB->uK; uD=>C(r) |
[C,A,K] |
uC->uK; uA=>C(r) |
[CI,A,K] |
uCI->uA; uK=>CI(r) |
u5/6 |
[C,A,K] |
uC->uA; uK=>C(r) |
[C,B,K] |
uB->1D; uK=>C(r) |
[D,B,K] |
1C->uK; uB=>D(r) |
[CI,A,K] |
uCI->uK; uA=>CI(r) |
[D,B,C,K] |
uB->uK; uC=>D(r) |
u1/6 |
[CI,B,D,K] |
uB->uD; uK=>CI(r) |
[C,A,K] |
1C->uK; uA=>C(r) |
[CI,A,K] |
1C->uA; uK=>CI(r) |
[C,B,K] |
uB->uK; 1D=>C(r) |
u-1/6 |
[C,A,K] |
1C->uA; uK=>C(r) |
[D,B,K] |
uB->uK; 1C=>D(r) |
[C,B,D,K] |
uB->uD; uK=>C(r) |
[CI,A,K] |
1C->uK; uA=>CI(r) |
[CI,B,K] |
uB->uK; 1D=>CI(r) |
[D,B,C,K] |
uC->uK; uB=>D(r) |
u-1/3 |
[CI,C,D,K] |
uC->uD; uK=>CI(r) |
[A,B,K] |
uB->uK; 1C=>A(r) |
[B,D,K] |
uB->uD; uK=>B(r) |
[C,CI,D,K] |
uCI->uK; uD=>C(r) |
[A,B,C,K] |
uC->uK; uB=>A(r) |
[CI,A,B,K] |
uB->uA; uK=>CI(r) |
[CI,K] |
1C->1D; uK=>CI(r) |
[C,K] |
1C->uK; 1D=>C(r) |
[B,A,K] |
1C->uA; uK=>B(r) |
u-2/3 |
[B,K] |
1C->uK; 1D=>B(r) |
[C,D,K] |
1C->uD; uK=>C(r) |
[C,CI,K] |
uCI->1D; uK=>C(r) |
[D,C,K] |
uC->uK; 1C=>D(r) |
[CI,A,B,K] |
uB->uK; uA=>CI(r) |
[CI,C,K] |
uC->uK; 1D=>CI(r) |
[CI,D,K] |
1C->uK; uD=>CI(r) |
[B,CI,D,K] |
uCI->uK; uD=>B(r) |
[D,CI,K] |
1C->uK; uCI=>D(r) |
u-5/6 |
[CI,B,K] |
uB->1D; uK=>CI(r) |
[CI,A,C,K] |
uC->uA; uK=>CI(r) |
[C,A,CI,K] |
uCI->uK; uA=>C(r) |
u-7/6 |
[CI,A,C,K] |
uC->uK; uA=>CI(r) |
[CI,B,D,K] |
uB->uK; uD=>CI(r) |
[C,A,CI,K] |
uCI->uA; uK=>C(r) |
[D,B,CI,K] |
uB->uK; uCI=>D(r) |
u-4/3 |
[CI,C,K] |
uC->1D; uK=>CI(r) |
[A,CI,K] |
1C->uK; uCI=>A(r) |
[B,D,K] |
1C->uD; uK=>B(r) |
[C,CI,K] |
uCI->uK; 1D=>C(r) |
[B,CI,K] |
uCI->1D; uK=>B(r) |
[A,C,K] |
uC->uK; 1C=>A(r) |
u-3/2 |
[K,A,C] |
uC->uA; 1C=>K(r) |
[CI,A,C] |
uC->1D; uA=>CI(r) |
[K,B] |
uB->1D; 1C=>K(r) |
[D,B,CI] |
uB->1D; uCI=>D(r) |
[D,A,C,CI] |
uC->uA; uCI=>D(r) |
[K,B,CI,D] |
uB->uD; uCI=>K(r) |
[C,A,CI,D] |
uCI->uD; uA=>C(r) |
[C,A,CI] |
uCI->uA; 1D=>C(r) |
[CI,B,D] |
uB->1D; uD=>CI(r) |
[K,A,CI] |
1C->uA; uCI=>K(r) |
[K,B,C] |
uC->1D; uB=>K(r) |
[CI,A,C,D] |
uC->uA; uD=>CI(r) |
u-5/3 |
[B,A,CI,K] |
uCI->uK; uA=>B(r) |
[CI,C,D,K] |
uC->uK; uD=>CI(r) |
[D,C,CI,K] |
uC->uK; uCI=>D(r) |
[C,CI,D,K] |
uCI->uD; uK=>C(r) |
u-7/3 |
[A,B,CI,K] |
uB->uK; uCI=>A(r) |
[B,A,CI,K] |
uCI->uA; uK=>B(r) |
u-8/3 |
[B,CI,K] |
uCI->uK; 1D=>B(r) |
u-3 |
[A,C,CI] |
uC->uA; uCI=>A(r) |
[K,A,B,CI] |
uB->uA; uCI=>K(r) |
[K,CI] |
1C->1D; uCI=>K(r) |
[K,C] |
uC->1D; 1C=>K(r) |
[B,A,CI,D] |
uCI->uD; uA=>B(r) |
[B,A,CI] |
uCI->uA; 1D=>B(r) |
[K,C,CI,D] |
uC->uD; uCI=>K(r) |
[A,B,CI] |
uB->1D; uCI=>A(r) |
u-10/3 |
[A,C,CI,K] |
uC->uK; uCI=>A(r) |
[B,CI,D,K] |
uCI->uD; uK=>B(r) |
u-7/2 |
[K,B,CI] |
uB->uK; uCI=>K(r) |
u-4 |
[A,C,CI] |
uC->1D; uCI=>A(r) |
[B,CI,D] |
uCI->uD; 1D=>B(r) |
u-9/2 |
[K,A,C,CI] |
uC->uA; uCI=>K(r) |
[K,B,CI] |
uB->1D; uCI=>K(r) |
u-5 |
[K,C,CI] |
uC->uK; uCI=>K(r) |
u-6 |
[K,C,CI] |
uC->1D; uCI=>K(r) |
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