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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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Key to Exercises in Euclid

Isaac Todhunter - 1880 - 208 sider
...arcs AB and DE, and is therefore a known angle. Similarly the angle BPC is known. Join A II, and on it describe a segment of a circle containing an angle equal to the former; join BC, and on it describe a segment containing an angle equal to the latter. Then the intersection...
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382 exercises, solved, upon the 3rd, 4th, 5th, and 6th books of Euclid

Patrick M. Egan - 1883 - 212 sider
...draw NS making angle SNH = MN W, so that SN'NM shall be equal to the given rectangle; join SJf, and on it describe a segment of a circle containing an angle equal to SNH; let this segment cut NW in W; join WM and produce it to meet NH in H: HMN is the line required....
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1885 - 322 sider
...the arc of this segment at A, and join AC. ABC is the required triangle. 3. On BC, the given base, describe a segment of a circle containing an angle equal to the given vertical angle ; from B draw BD j_ BC and = the given altitude ; through D draw a parallel to BC, meeting...
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Mathematical Questions and Solutions, from the "Educational Times ..., Bind 41

W. J. C. Miller - 1884 - 178 sider
...the triangle. Solution by MARGARET T. METER ; D. RIDDLE ; and others. On the given base AB construct a segment of a circle containing an angle equal to the given vertical angle ; and let QR, parallel to AB, be the given chord. Produce the chords QA, EB, to meet...
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Elements of Projective Geometry

Luigi Cremona - 1885 - 434 sider
...make with one another a given angle *. Construct first a diameter A A' of the conic (Art. 285); and on it describe a segment of a circle containing an angle equal to the given one. Find the points in which the circle of which this segment is a part cuts the conic again (Art....
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The Practical Teacher, Bind 4

1885 - 630 sider
...inscribed circle of a triangle, construct it. (TtHÜiiiHler.) Ctnstruction. — Upon the given base АГ. describe a segment of a circle, containing an angle equal to the sum of the vertical angle and half its supplement ; (III. 33.) At a distance from AB equal to the given...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - 1885 - 404 sider
...perpendicular to PT meeting it in T. From one of the foci F draw a line meeting CT in Q and on CF1 describe a segment of a circle containing an angle equal to the angle CQF (Prob. 30) and cutting FQ in p. The locus of p will intersect the given tangent in its point...
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Examinations Papers

1888 - 666 sider
...straight line joining their centres passes through the point of contact. 9. On a given straight line to describe a segment of a circle containing an angle equal to the third part of two right angles. ENGLISH. The Board of Exsmwnefrs. NOTE. — Pay particular attention...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 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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An Elementary Treatise on Pure Geometry: With Numerous Examples

John Wellesley Russell - 1893 - 366 sider
...HA, BC, hence the angle A'B'C' is equal to A VC ; so L D'E'F'= LI>VF. Hence to construct F draw on AC a segment of a circle containing an angle equal to the given angle A'B'C', and on DF and on the same side of it as before describe a segment of a circle containing an...
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