On the Threefold Minimum and Measure (1591) - Page 12

OF CHAPTERS.


7. The Wedge original: "Cuneus": I describe the smallest and largest angle (p. 180)	...circumscribed (p. 195) This completes the entry for "The Partnership" from the previous column.
8. The Balance original: "Statera": I provide an angle equal to another angle (p. 181)	9. Matter original: "Materia": I provide a right-angled triangle and vary it infinitely upon the same straight line (p. 196)
9. The Divider original: "Discuneator": I bisect an angle (p. 182)	10. The Seed original: "Semen": I ensure the segments of the triangle's base have the same ratio as the remaining sides of the triangle (p. 197)
10. The Fixer original: "Fixor": I perceive an angle that cannot be further divided original: "non pluriseccabilem" (p. 183)	11. Generation: I multiply a right-angled triangle into figures similar to itself and to each other (p. 198)
11. The Opening original: "Apertio": I judge the quantity of an angle (p. 186)	12. Birth: I accommodate a line to any triangle and divide it proportionally (p. 198)
12. The Embrace original: "Complexus": I double and simplify an angle, and increase or decrease it step by step (p. 187)	13. Motion: I transform a triangle while keeping its area equal, and decrease or increase it by a certain ratio (p. 199)
### SECTION III, ON THE TRIANGLE.	14. Precision: From a given point on one side of a triangle, I draw a line bisecting the triangle (p. 199)
1. Prerogatives of the Triangle original: "Triquetri" (p. 188)	15. Status: I reduce any triangle to a right-angled one (p. 201)
2. The Enclosure original: "Carcer": I provide the smallest triangle in area and angle (p. 190)	16. The Key of Transmutations (p. 202)
3. Joy original: "Lætitia": I construct an equilateral triangle simply or upon a given line (p. 192)	17. The Expander (p. 203)
4. The Increase original: "Auctio": I open the way for increasing a triangle uniformly (p. 192)	18. The Banner of the Sun original: "Vexillum Solis" (p. 204)
5. Direction: I designate a triangle of any kind, even upon the diameter of the earth (p. 193)	19. The Author, The Doubler, The Uniter: from the common Euclidean principles (p. 205)
6. Application: From three given straight lines, I compose a triangle, provided any two lines are greater than the third (p. 193)	20. The Ladder original: "Scala" (p. 206)
7. The Limit original: "Terminus": I inscribe and circumscribe an equilateral triangle within a circle (p. 194)	21. The Foundation (p. 207)
8. The Partnership original: "Societas": I fit a parallel to an inscribed triangle...	22. On Secret Writing, concerning the minimum and an explainable measure (p. 208)

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