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Exploring the Parabola on the Pythabacus STEP1: Left Click Check Button STEP2:Counting From the Rightmost Gold Bead, Left Click a Gold Bead at a position equal any number. Click Right Arrow (CRA). This step generates (B), which equals the displaced gold beads. The blue and lower right corner lines bound the area B" STEP3: Left click another gold beads in or out of the displaced group (B). CRA. This step generates (a), the bead clicked in step 3 plus the total number of gold beads to its right, while (b) equals (B) - (a). If (B)>(a), the quadrilateral of brown beads above and to the left of of the a-group equals the product of (a) times (b), equals (C1) in the equation X" - BX + C1 = Y and C1 is positive. If (B)<(a) the quadrilateral of brown beads above and to the right of the displaced group plus the square of the number of gold beads in the displaced group equals (C1) and (C1) is negative. The red, blue and lower right corner lines bound the areas associated with (b"), 2C1 and (a"). STEP4: Left click another gold bead in any group. CRA. This step generates (e), the bead clicked in step 4 plus the total number of gold beads to its right, while (f) equals (B)-(e). If (B)>(e), the quadrilateral of brown beads above and to the left of of the a-group equals the product of (e) times (f), equals (C2) in the equation X" - BX + C2 = 0 and C2 is positive. If (B)<(e) the quadrilateral of brown beads above and to the right of the displaced group plus the square of the number of gold beads in the displaced group equals (C2) and (C2) is negative. The green, blue and lower right corner lines bound the areas associated with (f"), 2C2 and (e"). Press down arrow key to see step by step solution to the equation. For more details about generating various configurations of parabolic equations on the pythabacus click here. |