Synopsis of Universal Geometry (1644) - Page 26

DICTIONARY


[Of a] square,	109
Circle equal to which triangle,	167
Circle or round figure,	1 and 68 and 77
Circle compared to the surface of a cone and cylinder,	97
Circumference arising from the section of a cone,	334
Circumference more than triple the diameter,	157 This refers to the approximation of Pi being greater than 3.
Similar circumferences,	9
Circumferences compared to diameters,	469
Circumferences of circles as their diameters,	394
Ratio of circumference to diameter,	110
Circumscription and inscription of figures in a circle,	13
Finding two means by help of the cissoid,	104 The cissoid of Diocles is a curve used to solve the problem of finding two mean proportionals to double a cube.
How great the body of a citron is,	172 This likely refers to the volume of a "citron-shaped" solid, a common exercise in early modern geometry.
Climates enclosed by three parallels,	267
Names and locations of climates,	267
Latitudes of climates and elevation of the pole,	same page
Number and size of climates,	268
The screw as a continued lever,	469
What an infinite screw is,	470 An "infinite screw" is an archaic term for a worm gear.
Effect of larger pulleys,	467 original: "Collopum". Likely a variant or technical term for mechanical pulleys.
What color is,	485
How white and black colors are made,	preface, point 10
Pale yellow, gray-yellow colors, etc., and which they are,	preface, point 10
Colors of the dawn,	529
Whence the colors of the prism and the rainbow [arise],	589
Colors reduced to three,	486
Colors the same as light, and how many rays make each color,	preface, point 10
Centers of gravity of columns, 442; their weights,	443
Functions of the colures,	264 Colures are the two principal meridians of the celestial sphere.
Commandino’s book on the center of solids,	from 400 to 405 Federico Commandino (1509–1575) was an influential translator and mathematician known for his work on centers of gravity.
Commensurable magnitudes,	30
Four common notions,	31
Comparison of triangles,	71
Complement,	75
Composition of a ratio,	14


Composite number,	21 and 25
Use of concave and convex lenses,	526
What the concentric orbit of the sun is,	569
Conchoid lines,	104 The conchoid of Nicomedes is a curve used for trisecting angles and finding mean proportionals.
Hyperbolic conoid,	118
Tropologies of preachers,	preface, point 13 Mersenne often explains how mathematical or natural principles can be used as metaphors or moral allegories in sermons.
Concurrence and concurrent lines,	543
Section of a scalene cone through the axis,	322 and following
Sections of a right-angled cone,	12 and following
Axis and bases of the cone and cylinder,	42
Section of an acute-angled cone,	115
Which are right cones, 277; scalene,	and 333
Various sections of a cone,	172
Similar sections of a cone,	350 and 360
Same sections of a cone,	350
Which are similar cones, 350; dissimilar,	same page
Superposition of a section of a cone upon another section of a cone,	350
Geodesy of the cone and cylinder,	117 Geodesy here refers to the practical measurement of the volumes and surfaces of these shapes.
Portion of a right-angled cone,	110
Surface of an isosceles cone compared to a circle,	97
Cones compared among themselves,	98
Sections of a cone through the axis,	279 and 333
Generation of a cone,	279
Definition of a cone, vertex, base, axis,	332
Conic line,	333
Which is a conic surface, 277; its vertex and axis,	same page
Definition of a conic surface, 332; vertex and axis,	same page
Circumstances of conic sections,	173
Mydorge’s eight books on conics, and an abridgment of them,	329 Claude Mydorge (1585–1647) was a French mathematician and friend of Descartes who wrote extensively on conic sections.
Conic,	84
How great the trunks of conjugations are,	176 In the study of conics, conjugations refer to pairs of diameters or axes related to the curve's symmetry.
Parabolic conoid compared to a cylinder,	415
Segment and portion of a conoid,	121
Immersion of a rectangular conoid in water,	151 and following