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 ## Papers for the schoolmaster, Volumes 1-6

582 pages
...The angles in the same segment of a circle are equal to one another. 4. Upon a given straight line- describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 5. The circumference of one circle is equal to the diameter of another ; show that... ## The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...lines ED and BC are parallel (d). PROPOSITION XXXIII. PROBLEM. — On a given finite straight line (AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (C). Let the given angle be a right angle : — SOLUTION. Bisect AB in F (a), and... ## Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 pages
...137- PROP. XL. To draw a tangent to a given circle which shall also make with a given straight line an angle equal to a given angle. Let AB be the given straight line; take any point C in AB, and from C draw CD making with AB an angle equal to the given angle (105).... ## Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...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 AE, and DF cut one another... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...line, and С the given rectilineal angle. It is required to describe upon the given straight line AB, a segment of a circle, which shall contain an angle equal to the angle С. First, let the angle С be a right angle. Bisect AB in F (L 10), and from the centre... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...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 joined so as to form a triangle,... ## A course of practical geometry for mechanics

William Pease - 1856 - 108 pages
...of the first triangle. PROBLEM XXXVII. On a straight line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given straight line. 1. Make BAC equal to the given angle. 2. Make the angle ABC equal to the angle BAG. Draw AD and BD... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...a given point, either without or in the circumference, which shall touch a given circle. 6. I. 1 , on a given straight line, to describe a segment of a circle containing an angle equal to a given rectilineal angle. If two equal circles touch each other externally... ## A Treatise on Surveying and Navigation: Uniting the Theoretical, Practical ...

Horatio Nelson Robinson - Navigation - 1858 - 356 pages
...(th. 9, b. 3), and (th. 4, b. 3). PROBLEM 13. On a given line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given line, and C the given angle. At the ends of the given line, make angles DAB, DBA, each equal to the... 