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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, books i. ii. iii. iv

Euclides - 1862 - 140 σελίδες
...4. Therefore the angle DCF is equal to the angle ECF; (I. 8.) And they are adjacent angles. 5. But when a straight line, standing on another straight...another, each of the angles is called a right angle; (def. 10.) 6. Therefore each of the angles DCF, ECF, is a right angle. Conclusion. — Therefore from...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...therefore the angle AFE is equal to the angle BFE ; (i. 8) but 'when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is a right anele ;' therefore each of the angles AFE, BFE, is a right angle; wherefore the straight...

The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 σελίδες
...only one angle at a point, it may be expressed by a letter placed at that point; as the angle at E. 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 tbo other is called a...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 σελίδες
...angle EDC? arc eg, of angle EDO, &c. A degree is the 300th part of the circumference of a circle. 10. 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; D and the straight line which stands on the...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...15.) therefore the angle FHC is equal to the angle GHC; (I. 8.) and these 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...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...the angle ABI), or DBA ; and that which is contained by DB, CB, is called the angle DEC, or CBD. 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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...15.) therefore the angle FHC is equal to the angle GHC; (i. 8.) and these 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...

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 σελίδες
...lines which meet in a point, called the vertex of an angle, and the two lines are called its sides. 9. When a straight line standing on another straight line makes the adjacent angles equal, each of them is called a RIGHT ANGLE; and the straight line which stands upon the other is called a...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...therefore the angle AFE is equal to the angle BFE ; (I. 8) but 'when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is a right angle ; (i. def. 10) therefore each of the angles AFE, BFE, is a right angle; wherefore...

Loftus's Inland Revenue Officers' Manual ...

William Harris Johnston - 1865 - 478 σελίδες
...other angle between them, such as the angles ВАС and DA 0. When one straight line standing upon another straight line makes the adjacent angles equal to one another, each such angle is called a right angle, and either of the straight lines is said to be a perpendicular...




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