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" AB be equal to the given bisecting line ; and upon it describe a segment of a circle containing an angle equal to the given angle. "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Side 299
af Miles Bland - 1819 - 377 sider
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Mathematical Questions and Solutions, Bind 64

1896 - 140 sider
...chord HK, which is such that the tangents at its extremities / intersect at the given angle. ,' On HK describe a segment > of a circle containing an angle ' equal to the other given' angle ] and meeting the circle centre 0 > and radius OA in L. \ Make / AOQ = / LOK, and...
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Treatise on Conic Sections

Apollonius (of Perga.) - 1896 - 444 sider
...axis of the given hyperbola and perpendicular to its plane ; and on A' A, in the plane so described, describe a segment of a circle containing an angle equal to the exterior angle B'OC at the vertex of the given cone. Complete the circle, and let EF be the diameter...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bog 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...determine at what point in CD, the st. line AB subtends a given angle. This is done as follows: — On AB describe a segment of a circle containing an angle equal to the given angle. in. 33. If the arc of this segment intersects CD, two points in CD are found at which AB subtends the...
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A Text-book of Euclid's Elements for the Use of Schools, Bog 1

Euclid - 1904 - 488 sider
...determine at what point in CD, the st. line AB subtends a given angle. This is done as follows : — On AB describe a segment of a circle containing an angle equal to the given angle. HI. 33. If the arc of this segment intersects CD, two points in CD are found at which AB subtends the...
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The Dublin University Calendar, Bind 1

Trinity College (Dublin, Ireland) - 1915 - 562 sider
...ratio to one another as the arcs on which they stand. Practical. 8. Draw a line 6'5 cms. long, and on it describe a segment of a circle containing an angle equal to the angle of an equilateral triangle. 9. Describe an equilateral triangle ABC whose side is 5 cms. long....
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The Dublin University Calendar, Bind 1

Trinity College (Dublin, Ireland) - 1918 - 554 sider
...opposite the smaller of these sides equal to one-third of a right angle. 10. On a line i'5 in. long describe a segment of a circle containing an angle equal to the smallest angle of the triangle whose sides are 2, 2-5, and i inch long. ALGEBRA AND ARITHMETIC. MR....
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The Elements of Plane Geometry

Euclid - 1845 - 336 sider
...of a circle containing an angle equal to a given angle. O/ '0 P) On the given straight line AB, to describe a segment of a circle containing an angle equal to the given angle X. Draw the straight line AC making the angle BAC equal to the angle X; draw AD perpendicular to AC;...
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - 1909 - 336 sider
...kind of generalization of Heraclitus' solution. Produce BC (Fig. 8) and make DR2 = BD2 + jf. On BR describe a segment of a circle containing an angle equal to the angle BAD. The circumference of this circle will cut AD produced in F. The proof of this construction...
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Apollonius of Perga Treatise on Conic Sections

438 sider
...axis of the given hyperbola and perpendicular to its plane ; and on A' A, in the plane so described, describe a segment of a circle containing an angle equal to the exterior angle B'OC at the vertex of the given cone. Complete the circle, and let EF be the diameter...
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The Eclectic Review, Bind 4;Bind 22

Samuel Greatheed, Daniel Parken, Theophilus Williams, Josiah Conder, Thomas Price, Jonathan Edwards Ryland, Edwin Paxton Hood - 1815 - 676 sider
...than two right angles, these two lines shall meet, if produced towards P and C. Take a line M'N'=MN, and upon it describe a segment of a circle containing an angle =* the deficiency of CNM, PMN from two right angles. In this segment place the line M'P' making the...
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