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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pągina 18
per John Playfair - 1819 - 333 pągines
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 pągines
...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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 pągines
...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...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 621 pągines
...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...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 angles CAD, CAB, equal...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - 1851 - 718 pągines
...another, which meet together, but are not in the same straight line.* When a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is called a right angle, and the straight line which stands upon the other is called a perpendicular...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...is equal d 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...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...CG; therefore (I. 8.) 3. The angle CHF is equal to the angle CHG; and they are adjacent angles; but when a straight line standing on another straight...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...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 pągines
...the angle c hf is equal (i. 8) to the angle chg ; and they are adjacent angles ; but when (10 def.) a straight line standing on another straight line...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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...equal (8. i.) 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...
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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 to...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...is put in inverted commas, as being Dr. Simson's addition ; it is very necessary to be remembered. X When a straight line standing on another straight...the adjacent angles equal to one another, each of these angles is called a right angle ; and the straight line which stands on the other is called a...
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