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Question Number 107913 by hhryhrry2 last updated on 13/Aug/20

X_0 = ((X_1 .F_(y1) + X_2 .F_(y2) + .....)/(F_(y2) + F_(y2 ) + .....)) Y_0 = ((Y_1 .F_(x1) + Y_2 .F_(x2) + ......)/(F_(x1) + F_(x2) + ......)) X_0 = ((x_1 .m_1 + x_2 .m_2 + x_3 .m_3 + ....)/(m_1 + m_2 + m_3 + ......)) Y_0 = ((y_1 .m_1 + y_2 .m_2 + y_3 .m_3 + ....)/(m_1 + m_2 + m_3 + .....)) X_z = ((l_1 .x_1 + l_2 .x_2 + l_3 .x_3 + .......)/(l_1 + l_2 + l_3 + ......)) Y_z = ((l_1 .y_1 + l_2 .y_2 + l_3 .y_3 + ...... )/(l_1 + l_2 + l_3 + ......))

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{X}_{\mathrm{0}} \:=\:\frac{\mathrm{X}_{\mathrm{1}} .\mathrm{F}_{\mathrm{y1}} \:+\:\mathrm{X}_{\mathrm{2}} .\mathrm{F}_{\mathrm{y2}} \:+\:.....}{\mathrm{F}_{\mathrm{y2}} \:+\:\mathrm{F}_{\mathrm{y2}\:} +\:.....} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Y}_{\mathrm{0}} \:=\:\frac{\mathrm{Y}_{\mathrm{1}} .\mathrm{F}_{\mathrm{x1}} \:+\:\mathrm{Y}_{\mathrm{2}} .\mathrm{F}_{\mathrm{x2}} \:+\:......}{\mathrm{F}_{\mathrm{x1}} \:+\:\mathrm{F}_{\mathrm{x2}} +\:......} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\mathrm{X}_{\mathrm{0}} \:=\:\frac{\mathrm{x}_{\mathrm{1}} .\mathrm{m}_{\mathrm{1}} \:+\:\mathrm{x}_{\mathrm{2}} .\mathrm{m}_{\mathrm{2}} \:+\:\mathrm{x}_{\mathrm{3}} .\mathrm{m}_{\mathrm{3}} \:+\:....}{\mathrm{m}_{\mathrm{1}} \:+\:\mathrm{m}_{\mathrm{2}} \:+\:\mathrm{m}_{\mathrm{3}} \:+\:......} \\ $$$$\:\:\:\:\:\:\:\mathrm{Y}_{\mathrm{0}} \:=\:\frac{\mathrm{y}_{\mathrm{1}} .\mathrm{m}_{\mathrm{1}} \:+\:\mathrm{y}_{\mathrm{2}} .\mathrm{m}_{\mathrm{2}} \:+\:\mathrm{y}_{\mathrm{3}} .\mathrm{m}_{\mathrm{3}} \:+\:....}{\mathrm{m}_{\mathrm{1}} \:+\:\mathrm{m}_{\mathrm{2}} \:+\:\mathrm{m}_{\mathrm{3}} \:+\:.....} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\mathrm{X}_{\mathrm{z}} \:=\:\frac{{l}_{\mathrm{1}} .\mathrm{x}_{\mathrm{1}} \:+\:{l}_{\mathrm{2}} \:.\mathrm{x}_{\mathrm{2}} \:+\:{l}_{\mathrm{3}} .\mathrm{x}_{\mathrm{3}} \:+\:.......}{{l}_{\mathrm{1}} \:+\:{l}_{\mathrm{2}} \:+\:{l}_{\mathrm{3}} \:+\:......} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{Y}_{\mathrm{z}} \:=\:\frac{{l}_{\mathrm{1}} .{y}_{\mathrm{1}} \:+\:{l}_{\mathrm{2}} .{y}_{\mathrm{2}} \:+\:{l}_{\mathrm{3}} .{y}_{\mathrm{3}} \:+\:......\:}{{l}_{\mathrm{1}} \:+\:{l}_{\mathrm{2}} \:+\:{l}_{\mathrm{3}} \:+\:......} \\ $$$$ \\ $$

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