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测量学·大地测量

12 engines
Closed traverse — misclosure & Bowditch adjustment
纬距/经距 · 闭合差√(ΣL²+ΣD²) · Bowditch平差
Differential leveling — Height-of-Instrument method
视线高HI法 · RL+BS=HI/HI−FS=RL · ΣBS−ΣFS校核
Bearings & azimuths — quadrantal, back bearing, included angle
WCB↔象限角 · 反方位角±180° · 夹角
Theodolite horizontal angle · face-left / face-right
盘左盘右 · 水平角取平均消误差 · 度分秒运算
Stadia tacheometry · distance & height from the staff
D=K·s·cos²θ+C·cosθ · V=½K·s·sin2θ · K=100
Triangulation chain · sine rule from a baseline
基线+正弦定理 · 三角锁推算未知边
Horizontal circular curve
T=R·tan(Δ/2) · L=RΔ · 中矢M/外距E · 曲线度
Vertical curve (parabolic)
抛物线竖曲线 · 纵坡g1/g2 · 高/低点x=−g1L/(g2−g1)
Superelevation on a curve
e+f=V²/127R · 超高率 · 加宽 · 力三角
Parcel area by coordinates
鞋带公式½|Σ(xᵢyᵢ₊₁−xᵢ₊₁yᵢ)| · 宗地面积
Earthwork volume
平均端面积V=L(A1+A2)/2 · 棱柱体改正
Three-point resection (Tienstra)
三点后方交会 · 两角定测站坐标 · Collins/Tienstra