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

Euclides - 1847
...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...

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

Euclides - 1848
...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...

Lessons on the delineation of form

Charles Richson - 1848
...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...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 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 ...

Euclides - 1849
...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 - 621 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...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...

A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 718 σελίδες
...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...

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...

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...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...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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