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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. "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 34
των T S. Taylor - 1880
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...be only one angle at a point, it may be expressed by the letter at that point; as the angle at /.'. When a straight line standing on another straight line makes the adjacent angles equal to each other, each of these angles is called a right angle ; and the straight line which stands on the...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

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...§ II is Def. to the angle CHG; and they are adjacent angles; but when a straight line standing on a straight line makes the adjacent angles equal to one another, each of them is a right angle ; and the straight line which stands upon the other is called a perpendicular...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...EF— therefore (1. 8) the angle DCF is equal to the angle ECF ; and they are adjacent angles : But, when a straight line, standing on another straight...the adjacent angles equal to one another, each of these angles is called a right angle (Def. 10) ; therefore each of the angles DCF, ECF is a right angle...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 σελίδες
...equal (8. 1.) to the angle CHG ; and they are adjacent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to one another, each of them is a right angle, and the straight line which stands upon the other is called a perpendicular...

The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 σελίδες
...of the lines, by the meeting of which they are formed. See the Observation after Definition 18. 10. When a straight line, standing on another straight line, makes the adjacent an. gles equal to one another, each of the angles is called a right angle; and the straight line which...

Lessons on the delineation of form

Charles Richson - 1848 - 98 σελίδες
...two straight lines to one another, which meet together, but are not in the same straight line." 2. "When a straight line standing on another straight line makes the adjacent angles equal to each other, each of these angles is called a right angle; and the straight line which stands on the...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...of two straight lines to one another, which meet together, but are not in the same straight line. X. When a straight line standing on another straight line, makes the adjacent angles equal to each other, each of these angles is called a right angle ; and the straight line which stands on the...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 σελίδες
...the angle ECD is the difference between the two angles BCD, BCE. 10. When a straight line, meeting another straight line, makes the adjacent angles equal to one another, each of them is called a right angle, and the straight line which meets the other is called a perpendicular...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...equal (i. 8.) to the angle CHG; and they are adjacent angles; but when a straight line standing on a straight line makes the adjacent angles equal to one another, each of them is a right angle, and the straight line which stands upon the other is called a perpendicular...

An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 674 σελίδες
...points and quarter-points of the compass, cut off from the circle by the lines which form the angle. When a straight line standing on another straight...and the straight line which stands on the other is called a perpendicular to it : thus the line AC is perpendicular to DB, and makes with it the two adjacent...




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