 | Education, Higher - 1881 - 504 pages
...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... | |
 | Marianne Nops - 1882 - 278 pages
...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... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...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,... | |
 | Euclides - 1884 - 214 pages
...another. Axiom 1. Magnitudes which are equal to the same magnitude are equal to one another. PROPOSITION XXIII. PROBLEM. At a given point, in a given straight...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... | |
 | James Gow - Mathematics - 1884 - 350 pages
...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 - 434 pages
...rectilineal figure whose sides shall be equal to those of a given rectilineal figure. PROPOSITION 23. PROBLEM. At a given point in a given straight line, to make an angle equal to a given angle. C Let AB be the given straight line, A the given point in it, and... | |
 | Euclid - Geometry - 1890 - 442 pages
...then BX + CY < BC ; ie c + b < a ; 3°, let O' meet on BC only, so that X, Y coincide, Proposition 23. PROBLEM — At a given point, in a g'iven straight line, to make an angle equal to a given angle. A Let A be given ; and let P be given pt. in given st. line PS. Take... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...three straight lines KF, FG, GK=A, B, C. _'K. ''. A / l/\\ , ' '\ N 1 IF G 5 'HE ML PROPOSITION 23. PROBLEM. At a given point in a given straight line to make an angle equal to a given rectilineal angle. Let AB be the given straight line, and A the point in... | |
 | Seymour Eaton - 1899 - 362 pages
...C were not greater than B, for then each circle would lie wholly without the other. PROPOSITION 23. PROBLEM At a given point in a given straight line,...rectilineal angle equal to a given rectilineal angle. at the given point A, in the given straight line AB, an angle equal to the given rectilineal angle... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...KFG has its sides KF, FG, GK equal respectively to the three given lines A, B, CQEF PROPOSITION 23. PROBLEM. At a given point in a given straight line, to make an angle equal to a given rectilineal angle. MB Let AB be the given straight line, and A the given... | |
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PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle. 
