Squares, roots and surds; a triangle with extended sides
Segments a-f paired with their squares and square roots
Two columns of line segments, labeled a, b, e and c, d, f, are set beside their squares and square roots: 25 and 5, 9 and 3, 16 and 4, 100 and 10, and 36 and 6. Notes distinguish rational from irrational roots, stating 'The root is 4' and '7 is a surd root', and observe that '4 is not communicant [commensurable with] 8'. Pen strokes link the roots 5, 3 and 4 to the numbers 4 and 8 written at the head of the page. Below a ruled-off line an equilateral triangle is drawn with each side prolonged, with dots marking its interior and exterior angles.
On this page
Squares, square roots and a surd root
Line segments labeled a, b, e and c, d, f are paired with their squares and square roots (25/5, 9/3, 16/4, 100/10, 36/6). A note reads 'The root is 4', while '7 is a surd root' marks an irrational value, and '4 is not communicant 8' denies the commensurability of the two numbers.
Equilateral triangle with extended sides
Below the ruled-off line an equilateral triangle is drawn with each of its sides prolonged beyond the vertices. Dots mark the interior and exterior angles formed at the corners.