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If we look WPF implementation of Bezier cure you will find 3 functions (WPF mini-language) C for cubic Bezier (3 arguments) Q for QuadraticBezierSegment (2 arguments) and S for Smooth Bezier Segment (2 arguments). So, this path works fine which contains C, Q and S
<GeometryDrawing Brush="#66423C" Geometry="M 314.7,514 C 314.7,514,287.2,549.7,243.5,564.3 S 190.8,577,186.1,587.7 C 186.1,587.7,176.2,594.6,156.3,596.5 C 136.4,598.4,140,598.4,136.2,609.8 C 136.2,609.8,107.9,622,96.8,648.1 C 85.7,674.2,70.2,673.8,76.9,701.4 C 76.9,701.4,64,745.1,62.5,784.8 C 62.5,784.8,42.3,791.2,54.3,821.5 C 54.3,821.5,41.6,852.6,37.7,871.7 L 782.5,871.7 C 779.9,860.1,764.8,792.1,759.6,759.2 C 754,723.2,743.5,668.1,732.6,623.4 C 721.7,578.8,721.5,585.7,702.2,570.9 S 654.2,539.4,614.6,533.2 C 575,527,549,517.6,511.8,497.8 C 474.7,477.9,463.1,505.7,463.1,505.7 L 314.7,514 L 314.7,514z " />
In UWP we have
<BezierSegment Point1=\"{temCtrl1.X},{temCtrl1.Y}\" Point2=\"{temEnd.X},{temEnd.Y}\" />"
And
"<QuadraticBezierSegment Point1=\"{temCtrl1.X},{temCtrl1.Y}\" Point2=\"{temEnd.X},{temEnd.Y}\" />
But what is the syntax foe Smooth Bezier Segment?
It looks UWP does not contain smooth Bezier Segment, could you tell more about why you want to make it smooth?
The easy way to achieve this behavior to save previous control point. Now we have three arguments and it works fine.
The definition of rich language is to achieve desire result with minimum efforts. Now UWP made our life difficult where WPF is rich language. Somehow someone decided we do not need smooth Bezier Segment; we do not need radial brush with UWP or should not be able to write any segment inside an image. If that is the case, why those functions were available in WPF? You might ask to write such function our self then we will never able to complete our job and write functions where Microsoft left.