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I. Illegible due to bleed-through?
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IX. Illegible due to bleed-through?
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XI. Illegible due to bleed-through?
XII. Illegible due to bleed-through?
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XIV. Illegible due to bleed-through?
XV. Illegible due to bleed-through?
XVI. Illegible due to bleed-through?
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XVIII. Illegible due to bleed-through?
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XXI. Illegible due to bleed-through?
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XXIII. Illegible due to bleed-through?
XXIV. Illegible due to bleed-through?
XXV. Illegible due to bleed-through?
The "Vatican Schools" likely refers to the educational institutions under the patronage of the Holy See, possibly the Roman College or a similar academy where mathematics and the "art of the abacus" (arithmetic) were taught.
Examination original: "Examen" — A formal investigation or scholarly test of a subject.
Proceeding original: "actio" — A formal delivery, lecture, or legal-style presentation of arguments.
Abacus original: "Abaci" — Here referring not just to the physical tool, but to the science of arithmetic and calculation.
Value original: "valor" — The numerical worth of a figure.
Power of position original: "vis positionis" — A crucial mathematical concept referring to place-value notation (e.g., how the '1' in 10 represents a different value than the '1' in 100).
Vatican Schools original: "Scholae Vaticanae" — The specific location of the lecture or examination.