## perpendiculars

Use **perpendiculars** in a sentence

Noun

- plural form of
*perpendicular*

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- If the
**perpendiculars**from the vertices to the opposite faces of a tetrahedron be concurrent, then a sphere passes through the four feet of the**perpendiculars**, and consequently through the centre of gravity of each of the four faces, and through the mid-points of the segments of the**perpendiculars**between the vertices and their common point of intersection. - This theorem has been generalized for any tetrahedron; a sphere can be drawn through the four feet of the
**perpendiculars**, and consequently through the mid-points of the lines from the vertices to the centre of the hyperboloid having these**perpendiculars**as generators, and through the orthogonal projections of these points on the opposite faces. - Also the auxiliarly circle is the locus of the feet of the
**perpendiculars**from the foci on any tangent. - Since the area of the triangle FPP' is one half the product of FP into the perpendicular p from P on FP', it follows that if these
**perpendiculars**were equal all round the orbit, the areas described during the infinitesimal time would be smallest at the pericentre and continually increase during the passage of the body to B. - Inside an equilateral triangle, for instance, of height h, - 2Ra/3y/h, (8) where a, 13, y are the
**perpendiculars**on the sides of the triangle.

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