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 23av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| 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... | |
| ...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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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... | |
| 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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