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" At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, and A... "
The Elements of Euclid - Side 23
av Euclid - 1838 - 416 sider
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle: it is required to apply to the straight line...
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The Cambridge Examiner

...figure in which the same straight line is both a diagonal and a diameter. 2. Junior Paper, No. 6. 3. At a given point in a given straight line to make a rectilineal angle equal to a given angle. On what does the equality of angles depend ? 4. On what propositions, given previously, depend...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...given rectilineal figure. PROP. XXIII. PROBLEM. At a given point in a given straight line, to mate a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, A the given point in it, and DCE the given rectilineal angle. It is required to make an angle at the...
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Class lessons on Euclid

Marianne Nops - 1882
...angles are equal, ie the angle at C to the angle FAG (1.S). SUMMARY OF PROPOSITION XXIII., PROBLEM 9. At a given point in a given straight line, to make a rectilineal angle equal to a gwen angle. C A. Cons. — Join arms of given angle to form a triangle ; construct A equal to it on...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...Therefore the three straight lines KF, FG, GK are equal to the three A, B, C. PROPOSITION 23. PROBLEM. At a given point in a given straight line, to make...rectilineal angle equal to a given rectilineal angle. Let AS be the given straight line, and A the given point in it, and DCE the given rectilineal angle : it...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...bisect a given rectilineal angle, that is, to divide it into two equal parts. See Prop. 9, Bk. I. 3. At a given point in a given straight line, to make...rectilineal angle equal to a given rectilineal angle. See Prop. 23, Bk. I. Music. Quarter of an hour allowed. i. Write, under each of the following intervals,...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...triangle KFG has its three sides KF, FG, GK, equal to the three given straight lines A, B, C. XXIII. — At a given point in a given straight line, to make...required to make an angle at the given point A in the given straight line AB, that shall be equal to the given rectilineal angle DCE. Take in CD, CE,...
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A Short History of Greek Mathematics

James Gow - 1884 - 323 sider
...perpendicular to a given straight line of unlimited length, from a given point without it' (Euclid I. 12.) and 'At a given point in a given straight line to make...rectilineal angle equal to a given rectilineal angle' (Euclid I. 23). On the first of these, Proclus' note is curious and worth quoting. He says, " (EnopiJes...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...Magnitudes which are equal to the same magnitude are equal to one another. PROPOSITION XXIII. PROBLEM. At a given point, in a given straight line, to make...rectilineal angle equal to a given rectilineal angle. GIVEN a straight line AB, and a rectilineal angle DCE ; IT is REQUIRED TO MAKE at A in ATS an angle...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given straight lino, C the given triangle, and D the given rectilineal angle. It is required to apply to AB a parallelogram...
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