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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 2
των Robert Simson - 1781 - 466 σελίδες
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A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 488 σελίδες
...are also vertically opposite to one another. 10. 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. 1 1 . An obtuse angle is an...

Encyclopedia of Engineering: A Treatise on Boilers, Steam Engines ..., Τόμος 7

Calvin Franklin Swingle - 1906 - 490 σελίδες
...same straight line as in Fig. 34. Fi(. 34. Fig 35. 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 as in Fig 35. Fig. 38. An obtuse...

Modern Sheet-metal Workers' Instructor: Practical Geometry, Mensuration ...

Joseph H. Rose - 1906 - 340 σελίδες
...same straight line as in Fig. 1. Fig. 1. Fig. 2. 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 as in Fig. 2. GEOMETEIIAI A...

Practical Mechanical Drawing and Machine Design, Self Taught ...

Charles Westinghouse - 1906 - 168 σελίδες
...are not in the same straight line as in Fig. 34. 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 as in Fig. 35. An obtuse angle...

A School Geometry, Μέρη 1-4

Henry Sinclair Hall - 1908 - 286 σελίδες
...also vertically opposite to one another. 7, When one straight line stands on another so as to make the adjacent angles equal to one another, each of the angles is called a right angle • and each line is said to be perpendicular to the other. AXIOMS, (i) If O is a point in a straight line...

Introduction and books 1,2

Euclid - 1908 - 550 σελίδες
...the angle ECF; [i. 8] and they are adjacent angles. But, when a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal ingles is right ; [Def. 10] therefore each of the angles DCF> FCE is right. Therefore the straight...

The Teaching of Geometry

David Eugene Smith - 1911 - 360 σελίδες
...confine our attention to having the concept understood. 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...

Standard American Cyclopedia of Steam Engineering: A Treatise on the Care ...

Calvin Franklin Swingle - 1913 - 1270 σελίδες
...same straight line as in Fig. 34. Fig. 34. Fig. 35. 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 as in Fig 35. Fig. 36. An obtuse...

Stories about Mathematics-land, Τόμος 2

D. Ponton - 1927 - 168 σελίδες
...made when two straight lines cross one another. 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. A right angle contains 90...

Geometry, Relativity, and the Fourth Dimension

Rudy von Bitter Rucker - 1977 - 166 σελίδες
...postulate is not clear until we have defined right angles: "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." This postulate seems to be equivalent to the assumption that the things we...
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