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Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
First lessons in Plane Geometry. Together with an application of them to the ... - Page 195
by Francis Joseph Grund - 1830 - 12 pages

Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...angles of a triangle, all meet in the same point, viz., the center of the inscribed circle. FROBLEM XVI. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. AC perpendicular to AD. Bisect AB in E, and from E draw EC perpendicular to AB. From the point C, where...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...in the alternate segment of the circle. Wherefore, if a straight line, &c. QED PROP. XXXIII. PROB. Upon 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 the...

The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...together equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. 2. To describe a square which shall be equal to a given...

The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Book 1

Euclides - Geometry - 1853 - 334 pages
...angle DBE to the angle in the alternate segment DOB. Which was to be proved. PEOP. XXXIII. PEOB. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line, and c the given angle. It is required...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...alternate segment of the circle. Wherefore, if a straight line, etc. QED PROPOSITION XXXIII. PROB. Upon 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 the...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...the alternate segment of the circle. Wherefore, if a straight line, &c. QED PROP. XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AS be the given straight line, and the...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...chord which joins the points of contact of parallel tangents is a diameter. PROP. XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and С the given rectilineal...

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...is equal to the square of the straight lin« »hich is made up of the half and the part produced. 6. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. .7. Two circles ASCD, EBCF, having the common tangents...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...touching the circle, shall be equal to the angles which are in the alternate segments of the circle. 11. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. If any three points in the circumference of a circle be...

Elementary geometrical drawing, Part 1

Samuel H. Winter - Geometrical drawing - 1859 - 56 pages
...consequently the centre of the circle PQR, passing through the points P, Q, R (Euc. in. 9). PROBLEM X. Upon a straight line to describe a segment of a circle which shall contain a given angle. Let MN (PI. II. Fig. 4) be the given line, B the angle. 1. If B be a right angle, upon MN describe...