Synopsis of Universal Geometry

MATHEMATICAL [DICTIONARY]

The tropic of Cancer and of Capricorn, 266
Construction of the canon of triangles, 186 The "canon of triangles" refers to trigonometric tables used to calculate the sides and angles of triangles.
Hollow surfaces, 93
Description of the celonius, or the swipe, 469 term: Swipe (tollenon) refers to a long, counterweighted pole used since antiquity to lift water from wells.
Centers of gravity, 143 and following.
Centers of gravity of a spheroid, 426; of two parabolas, 427.
Centers of different magnitudes, 417
Definition of the center of gravity, 393 and 396
The science of centers of gravity for solids, 444 original: "Centrobaryca"
Center, 1 and 67
Center of a semi-parabola, 178
Center of gravity, same page.
Center of gravity of two pyramids, 410 and 416
Center of gravity of any portion of a parabola, 348
Center of gravity of a frustum of a pyramid, 411; of a cone, 412; of a cylinder.
What the center of a section is, 282
Center of a section of a cone, 335
The center of the earth is found in two ways, 399
Center of every rectilinear figure, ellipse, prism, and cylinder, 401
Center of a portion of a sphere and a spheroid, 402
The center of the earth at a distance of 1145 leagues, 398
Center of magnitude, 397
Center of a figure, 397; of the universe, same page.
Center of a polyhedron, 406
Center of gravity of a triangle and a parallelogram, 409
Center of gravity of a trapezoid and a polygon, 410.
Center of a hemisphere, 418 and 429
The location of the center of a portion of a sphere, 418 and following.
Center of a section, 314
How the center of gravity of any body may be found, 443
The center of gravity never ascends, 436.
Center of a portion of a conoid, 404
Reaction of the brain during the act of seeing, 569
The marvelous power of the Charistion and the Pancratium, 471 term: Charistion (Charistius) and Pancratium (Pancratium) were mechanical devices described by ancient engineers, such as Heron of Alexandria, used for lifting immense weights.
Chords of an arc, 213

Chords compared to arcs, 240
Three ropes for sails, 451
The choroid and the sclera, 488 term: Choroid (Choroides) and Sclera (sclerodes) are specific layers or membranes within the anatomy of the eye.
That the crystalline humor is a lens, 522
Division of a circle into 360 parts, 259
Great circles of the sphere and their properties, 192
The motion of a larger circle compared to density, and a smaller circle to rarity, 460
The attributes of a circle, 10 and 11 original: "passiones"
Measurement of a circle, 83
Functions of the great circles of the sphere, 244 and following.
Various comparisons of circles and their circumferences, 167
Many properties of the circle, 134
Division of a circle into 360 degrees, 182
Segments of a circle, 79
The area of a circle to the square of its diameter as 11 is to 14, 169
The uses of the circle in mechanics, 456
Center of a circle, 9
Circles of progressions, 266
Circles of declinations, 265
The pole of a circle, 190
Equidistant circles on a sphere, 202 These are parallel circles, similar to lines of latitude on a globe.
The circumscribing of a circle, 80
Many figures inscribed in a circle and their measurement, 167
The contact and meeting of circles on a sphere, 201
The contact and other properties of great circles, 202 and following.
Inscriptions and circumscriptions of circles, 13
The inclinations of circles on a sphere, 201
The intersection of circles on a sphere, 202
Comparison of circles, 46
Comparisons and measurement of circles and spheres, 125
A very small circle equal to the largest, 459: why it describes an equal motion. This likely refers to the mechanical paradox known as Aristotle's Wheel, where a smaller inner circle appears to travel the same distance as the outer circle.
A circle consisting of infinite angles, 457
The circle as a section, 315
Which circle of the sphere is larger, 191
A circle is compared to a triangle, and to a qua[drilateral]