On the Threefold Minimum and Measure

OF CHAPTERS.

15. In what order and by what names of parts the circle is divided (p. 128)

IV. ON THE PRINCIPLES OF MEASUREMENT AND FIGURE.

1. Progression from the monad monad: the fundamental unit of reality and the "one" in Bruno's philosophy to a few things, thence to very many, up to the innumerable and the immense (p. 130)
2. On the folding-in original: "implicatione" of all things, and the unfolding into all three types of figures (p. 135)
3. The construction of the Atrium of Apollo These "Atriums" refer to Bruno’s complex mnemonic and geometric systems, where different gods represent specific types of knowledge or forms. (p. 137)
4. The construction of the Atrium of Pallas Pallas Athena, representing wisdom and strategy. (p. 139)
5. The construction of the Atrium of Venus (p. 142)
6. That every figure, whether unfolded or folded, is found in these (p. 143)
7. Definitions (p. 144)
8. Axioms of the art in themselves, and of the terms with manifest meaning (p. 148)
9. Theorems to be demonstrated by an axiom or by the definition of a term (p. 150)
10. The demonstration of theorems (p. 153)

V. ON MEASUREMENT.

1. The archetype of truth; I shall experience the shortest line, which is also a straight line (p. 159)
2. Of equality: From a given point or in whatever way, I receive a line equal to a given straight line (p. 161)
3. Temperance and modes; I cut away the remainder from the greater (p. 162)
4. Distincter, The Edge original: "Acies"; I comprehend length without width by sight (p. 163)
5. Division original: "Schisma", Leveling: I bisect the length, and find the middle point within it (p. 165)
6. The Distributor: I divide a given line into many parts by a certain ratio (p. 166)
7. The Detractor: I take away the commanded part (p. 169)
8. Apposition; From a given point I draw a parallel above a given straight line, or I apply parallels as I please through a circle (p. 171)
9. The Ascending Vertex: We provide a perpendicular line upon a given point (p. 173)

SECTION II. ON THE ANGLE.

1. Distinction of the angle (p. 176)
2. The Isosceles: I make an isosceles angle and triangle (p. 177)
3. The Erector: I establish a right angle at any given point (p. 177)
4. The Square original: "Norma," referring to the mason's tool or the geometric concept of the right angle.: A right angle upon the extremity of a given line (p. 178)
5. The Intercessor: I give a right angle upon a given point within the ends of a line (p. 179)
6. The Adactor: I shall raise a right angle at the point of contact of a circle and a tangent line (p. 180)