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. First lessons in Plane Geometry. Together with an application of them to the ... - Page 195
by Francis Joseph Grund - 1830 - 12 pages ## Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...greater, and greater in the case of less. 11. We are now prepared to solve the following problem : Upon a given straight line, to describe a segment of a circle, which shall contain an angle equal to a given angle. This problem is often of much service, to those who are handy with... ## Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...greater, and greater in the case of less. 11. We are now prepared to solve the following problem : Upon a given straight line, to describe a segment of a circle, which shall contain an angle equal to a given angle. This problem is often of much service, to those who are handy with... ## The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...AE, EC is equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXV. PROB. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given straight line, and the angle at C the... ## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...right Z s, 6. that ZS DBF + DBE = ZS BAD + BCD, 7- that Z DBE = Z BCD. PROPOSITION XXXIII. Problem. Upon a given straight line to describe a segment of a circle containing an angle equal to a given -^ * K rectilineal angle. The proof of case 1st, in which Z c... ## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...which is an angle in the remote segment ACB. If, therefore, a straight line, &c.f PROP. XXXIII. PROB. UPON a given straight line to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given straight line, and C the given angle;... ## Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...DBE is equal to the angle BCD in the alternate segment of the circle. PROPOSITION XXXIU/ PROBLEM. - 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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...the alternate segment of the circle. Wherefore, if a straight line, &c. Q,. ED 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 figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...with the tangent are equal to the angles in the alternate segments of the circle. PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle containing an angle equal to a given angle. PROP. XXXIV. PROB. To cut off from a given circle a segment... ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...proved equal to • 2 Ax. BAD: therefore the remaining angle DBE is equal * to PROP. XXXIII. PROB. 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 C the given rectilineal... 