Synopsis of Universal Geometry

*** iii

Center of a parabolic conoid, 421; also of a hyperbolic conoid, in the same place.
Obtuse-angled conoid, 111.
Right-angled conoid, 111; its axis and vertex.
Sections of conoids and spheroids, 122.
Conon, 92, 104, 124, 130, and 306. Conon of Samos was a Greek mathematician and astronomer known for his work on conic sections.
Measurements and comparison of cones, 46.
Properties of cones, 321. original: "passiones". In early modern geometry, this term refers to the attributes or characteristics of a figure.
Proportion of cones of equal height, 327.
What the point of contact is, 78.
Contact of parabolas and other sections, 310.
The continuum, 65.
Conversion of a ratio, 14.
Measurements of convex surfaces, 170.
A cone cut by a plane through the vertex, 324 and following.
A cone equal to a segment of a sphere, 170.
A cone equal to a sphere, in the same place.
The cone and its properties, 90 and 42.
Diameter of the corneal tunic [of the eye], 488.
Comparison of regular solids inscribed in the same sphere, 53.
Volume of the body of an olive, a plum, or a citron, 172. This refers to calculating the volume of solids shaped like common fruits.
What a solid body is, 84.
A very useful corollary for refraction, 587.
Cratista, 365. Cratista was a commentator on Euclid's works.
Twilight when the sun is 18 degrees below the horizon, 262.
Comparison of a cube with other cubes, 414.
Whether the cube is the most stable figure, 458.
Cube, pyramid, octahedron, etc., are compared, 56 and 58.
Cubic numbers 22, 26, and 27.
A cube circumscribed about a sphere is to the sphere as 21 is to 11, 170.
Cube 87; its properties, 42.
The strong impact of the wedge, 468.
Swords and files follow the nature of the wedge, 467.
Two species of wedges, 469.
A wedge is a multiplied lever, in the same place.
Linear and superficial wedge, in the same place.
Diameter and vertex of a curve, 314.
The Cyclometricus of Willebrord [Snell], 165. Snell was a Dutch astronomer and mathematician; this work concerns the measurement of circles.
The cylinder compared with hemispheroids, 425 and following.
The cylinder and conjugate trunks, 174.
Sub-contrary cylinder, 175.
A cylinder equal to a trunk, in the same place.
Cylindrical nature, 84.
Generation of the surface of a cylinder, 314.
Fragments of a cylinder, 114.
Cylinders compared among themselves, 98.
Right and scalene cylinders, 314.
The section of a cylinder is an ellipse, 318 and following.
What a section through the axis of a cylinder produces, 316.
Surface of a cylinder compared to a circle, 97.
Definition of a cylinder, its base, and circles, 314.
Centers of cylindrical fragments cut in various ways, 428.
Cylindrical mirror, 506.
Measurement and comparison of cylinders, 46.
Measurements and sections of cylinders, 174.
A cylinder compared to a sphere, 101.
A cylinder and cone cut by the same ellipse, 317.
Which cylinder is one and a half times the size of a sphere, 369.
Which cylinder has the greatest capacity, 174.
The cylinder and its dimensions, 90 and 42.
Cyrus, 313 and 320.

D

What the Apodogrammaphe is, 545. This likely refers to a specialized drafting or surveying instrument described in the text.
To be given by kind, by postulate, by position, or by magnitude, 373.
Euclid’s Data from 376 to 381; see point 8 of the preface.
Euclid’s Data condensed into a table: preface, point VIII.
Given in magnitude, 373.
Euclid's Data are reported, in the same place.
Given magnitudes explained in various ways from 374 to 381.
What the given, the hypothesis, the ordained, the porimon, the poriston, and the utterable known are, 373. These are technical terms in Greek geometry. "Porimon" and "poriston" relate to lemmas and properties that can be provided or found.
A decagon [ten-angled figure], 82.

Three small floral or star-shaped decorative ornaments are arranged in a horizontal row.