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6.BM. DISSECT CIRCLE INTO TWO HOLLOW OVALS
Consider a circle of radius 2. Cut it by two perpendicular diameters and by the circle of radius 1 about the centre. Two of the outer pieces (quarters of the annulus) and two of the inner pieces (quadrants) make an oval shape, with a hollow in the middle. The problem often refers to making two oval stools and the hollows are handholds! After the references below, the problem appears in many later books.
Jackson. Rational Amusement. 1821. Geometrical Puzzles, no. 9, pp. 25 & 84 & plate I, fig. 6. Mentions handholes. Solution is well drawn.

Endless Amusement II. 1826? Mentions handholes. Solution is well drawn.

Crambrook. 1843. P. 4, no. 6: A Circle to form two Ovals. Check??

Magician's Own Book. 1857. Prob. 36: The cabinet maker's puzzle, pp. 277 & 300. Solution is a bit crudely drawn. = Book of 500 Puzzles, 1859, pp. 91 & 114. = Boy's Own Conjuring Book, 1860, prob. 35, pp. 240 & 265.

Family Friend (Dec 1858) 359. Practical puzzle -- 4. I don't have the answer.

The Secret Out. 1859. The Oval Puzzle, pp. 380-381. Asks to 'produce two perfect ovals.' Solution is a bit crudely drawn, as in Magician's Own Book, but the text and numbering of pieces is different.

Illustrated Boy's Own Treasury. 1860. Prob. 34, pp. 401 & 441. Same crude solution as Magician's Own Book, but with different text, neglecting to state that the stools have handholes in their centres.

Magician's Own Book (UK version). 1871. On p. 282, in the middle of an unrelated problem, is the solution diagram, very poorly drawn -- the pieces of the oval stools are shown as having curved edges almost as though they were circular arcs. There is no associated text.

Hanky Panky. 1872. The oval puzzle, p. 123. Same crude solution as Magician's Own Book, but different text, mentioning handholes.

Mittenzwey. 1880. Prob. 256, pp. 46 & 97; 1895?: 285, pp. 50 & 99; 1917: 285, pp. 45 & 94. The stools are very poorly drawn, with distinct wiggles in what should be straight lines.

Hoffmann. 1893. Chap. II, no. 32: The cabinet maker's puzzle, pp. 104 & 137 138 = Hoffmann-Hordern, p. 102. Mentions hand holes. Well drawn solution.

Benson. 1904. The cabinet maker's puzzle, p. 201. Mentions hand holes. Poor drawing.