Books Books To a given straight 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. Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 50
by Euclides - 1838 ## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...the ||m« about a diagonal of any ||m equal in every respect ? On a given straight line to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. FEK Let AB be the given straight line, C the given triangle, and D the given angle : it is required... ## Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...opposite sides and angles of parallelograms are equal to one another. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... ## University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...perpendicular let fall upon it from the opposite angle, and the acute angle. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In any right-angled triangle, the square described on the side subtending the right angle is equal... ## Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...Candidate will please state in writing the Geometry which he offers.] 1. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. <s, ,&r»: '#. half ^hft line bisected ac/i of the square on the fine r.- i<> -.7- of *Jv* half awl... ## Examinations Papers

1884 - 610 pages
...are equal. 2. The opposite sides and the opposite angles of a parallelogram are equal. 3. Describe a parallelogram which shall be equal to a given triangle and have an angle equal to an angle of an equilateral triangle. 4. AB CD is a straight line. Prove that the... ## University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...between the points of section, is equal to the square on half the line. 7. To a given straight line apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... ## Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

...than the angle PCB, then will the angle PAC be greater than the angle PAB. 4. To a given straight line apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... ## The Practical Teacher, Volume 4

Education - 1885 - 630 pages
...and a half allowed. Euclid. HALES. [All generally understood abbreviations for words may be used.] triangle, and have one of its angles equal to a given rectilineal angle. Euclid, Book I., Prop. 44. 2. If a straight line be divided into any two parts, the squares on the... ## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...c/AC, BD, EF are collinear. \ / /' \ /.-- S ^7 \ PROP. XLIV.— PROBLEM. To a given right line (AB) to apply a parallelogram which shall be equal to a given triangle (C), and have one of its angles equal to a given angle (D). Sol. — Construct the parallelogram BEFG... 