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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 ... - Side 2
av Robert Simson - 1781 - 466 sider
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 sider
...angle ADG is equal (i. 8.) to the angle GDB: But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle (i. Def. 10.) : Therefore the angle GDB is a right angle: But FOB is likewise a right...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 621 sider
...from the circle by the lines which form the angle. 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 : thus the line AC is perpendicular...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...nearer to AC or EF than BA does.] B 2 BOOK I. BOOK I. 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. [That there may be two such...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...1. The angle ADG is equal to the angle GDB: but when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle (I. Def. 10.); therefore 2. The angle GDB is a right angle: but FDB is likewise (Constr.)...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...angle ADG is equal (8. i.) to the angle GDB : but when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle (10 Def. i.); therefore the angle GDB is a right angle : But FDB is likewise a (Constr.)...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...angle adg is equal (i. 8) to the angle gd b' But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle (i. def. 10) : therefore the angle gdb is a right angle : but f db is likewise a right...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...straight line (AB) standing on another straight line (CD) makes the adjacent angles (А В С, А В D) equal to one another, each of the angles is called a right angle ; and the straight lines are said to be perpendicular to each other. Thus the two lines, AB, CD, are perpendicular...
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Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856
...letter placed at that point ; as the angle at E." 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. XL An obtuse angle is that...
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APPLETONS' CYCLOPAEDIA OF DRAWING

W.E. WORTHEN - 1857
...letter placed at that point; as the angle at E.' 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 lines are said to be perpendicular to each other (fig. 3). An obtuse <mgle is that which is...
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Appletons' Cyclopædia of Drawing: Designed as a Text-book for the Mechanic ...

William Ezra Worthen - 1857 - 410 sider
...letter placed at that point ; as the angle at E.' 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 lines are said to be perpendicular to each other (fig. 3). An obtuse angle is that which is...
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