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Convergence articles

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In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
A brief outline of policies for submission of articles to Loci.
Suppose a lighthouse is built on the top of a rock; the distance between a place of observation and that part of the rock level with the eye is 620 yds.
Archimedes' work, The Method, explained, along with many other important ideas of the great Greek geometer.
A study of the rise of English algebra from the Medieval period to the end of the seventeenth century.
Benjamin Banneker solved some trigonometry problems in his extant notebooks. One of them is discussed here. The authors have also discovered the probable source of Banneker's trigonometry table.
Prove geometrically that the hypocycloid is a straight line when the radius of the rolling circle is one-half the radius of the fixed circle.
Given the frustum of a circular cone with height h.

Three images from Kepler's 1609 Astronomia Nova, the text in which he introduced his first two laws of planetary motion

Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.