Books Books Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text, Based ... - Page 119
by Euclides - 1853 ## The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...their centres being produced will pass through that point of contact. 10. Upou a given straight line describe a segment of a circle which shall contain an angle equal to a rectilineal angle. 11. From a given point without two indefinite straight lines given in position which... ## The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...are not diameters, that which is nearer to the centre is greater than that which is more remote. 6. On a given straight line to describe a segment of a circle that shall contain an angle equal to a given rectilineal angle. On the sides AO, AB of a triangle ABO,... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...the alternate segment of the circle. "Wherefore, if a straight line &c. QED PROPOSITION S3. PROBLEM. On a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the... ## Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...PROB. 8. About a given circle to circumscribe a triangle equiangular to a given triangle. PROB. 9. On a given straight line to describe a segment of a circle containing a given angle. PROB. 10. From a given circle to cut off a segment containing a given angle.... ## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...this proposition is a particular case either of III. 21, or of III. 22, Cor. PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of...a given angle. Let AB be the given straight line, LC the given angle : it is required to describe on AB a segment of a circle which shall contain an... ## An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...draw a straight line from a given point in a given straight line, which shall make an angle with it equal to a given angle. Let AB be the given straight line, A the given point in it, and DCE the given angle. It is required to draw from A a straight line which... ## The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line ( AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the given line, and... ## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line (AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the given line, and... ## Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...straight lines 37 \ To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. On a given straight line to describe a segment of a circle which shall contain a given angle 40 31. To draw a line touching two given circles ..... 41 Properties of a system of two... 