Four Math Problems and a Question

(Fig. 1) Question 32: “In the rectangle Triangle ABC is given the base AB=9 and the difference of the other sides that is the segment BD=3. Required the sides AC and BC severaly[sic].” Question 33: “In the Rectangle Triangle ABC is given the base AB=5 and the sum of the other sides AC+BC=25. Required the sides AC·BC ¬¬¬severaly[sic].” The Cabell Family Papers, Series 2, Box 11, Msv#15.

(Fig. 1) Question 32: “In the rectangle Triangle ABC is given the base AB=9 and the difference of the other sides that is the segment BD=3. Required the sides AC and BC severaly[sic].” Question 33: “In the Rectangle Triangle ABC is given the base AB=5 and the sum of the other sides AC+BC=25. Required the sides AC·BC ¬¬¬severaly[sic].”
The Cabell Family Papers, Series 2, Box 11, Msv#15.

Interspersed among the survey notes of Dr. William Cabell (1699-1774) within the Cabell Family Papers, 1693-1913, are mathematical problems ranging from standard arithmetic to algebraic equations. The majority of the inscriptions are in an unknown hand, possibly one of Dr. Cabell’s children, but we cannot be certain.

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