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" When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 51
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - 512 σελίδες
...containing the angle are straight, the angle is called rectilineal. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Geometry and the Visual Arts

Daniel Pedoe - 1976 - 296 σελίδες
...containing the angle are straight, the angle is called rectilineal. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Geometry: A Comprehensive Course

Daniel Pedoe - 1988 - 449 σελίδες
...containing the angle are straight, the angle is called rectilineal. 10 When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Collected Works of Bernard Lonergan

Bernard J. F. Lonergan - 1988 - 349 σελίδες
...straight lines. It is a nominal definition. The tenth definition reads: 'When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Thinking Things Through: An Introduction to Philosophical Issues and ...

Clark Glymour - 1997 - 382 σελίδες
...containing the angle are straight, the angle is called rectilinear. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Mathematical Cranks

Underwood Dudley - 1992 - 372 σελίδες
...prefer to leave the term undefined — but others were just fine: When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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A Commentary on the First Book of Euclid's Elements

Proclus - 1992 - 355 σελίδες
...has primacy over the things that are plural and separated. X-XII. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is a right angle and the straight line standing on the other is called a perpendicular...
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 298 σελίδες
...conclusions, and that Euclid felt the need to acknowledge their efforts. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Mathematics: The Science of Patterns: The Search for Order in Life, Mind and ...

Keith Devlin - 1996 - 224 σελίδες
...curved.] Definition 4 A straight line is a line that lies evenly with the points on itself. Definition 10 When a straight line standing on another straight...adjacent angles equal to one another, each of the equal angles is right and the straight line standing on the other is called a perpendicular to that...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - 1997 - 344 σελίδες
...are straight lines, the angle is called a rectilinear angle. 10. When a straight line erected on a straight line makes the adjacent angles equal to one another, each of the equal angles is called a right angle, and the straight line standing on the other is called a perpendicular...
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