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" angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment. "
A Course of Mathematics: Composed for the Use of the Royal Military Academy - Page 352
by Charles Hutton - 1860 - 895 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...that which is contained by the " straight line and the circumference." VIII. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line, which is the base of the segment....
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...may be called a segment of a circle, and the straight line may be called the base of the segment. V. The angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the base of the segment, may be called the angle...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...the figure contained by a straight line, and the arch which it cuts off. 6. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment....
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...the point Q, is without the curve (III. 1, Cor. 2). PROPOSITION II. The straight line which bisects the angle, contained by two straight lines, drawn from any point in the hyperbola to the foci, is a tangent to the curve in that point. Let D be any point in the hyperbola...
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A Geometrical Treatise on the Conic Sections: With an Appendix, Containing ...

William Wallace - Conic sections - 1837 - 248 pages
...be placed one on another, so as entirely to coincide. PROPOSITION V. The straight line which bisects the angle contained by two straight lines drawn from any point in the hyperbola to the foci, is a tangent to the curve at that point. Let D be the point in the curve ; let...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...straight line is called the chord of the arc, or the base of the segment. VII. An angle in a segment is the angle contained by two straight lines drawn from any point in the arc of the segment to the extremities of the chord of the arc, or base of the segment. VIII. And an...
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A Treatise on Geometry and Its Application in the Arts

Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...in the heavens separated from each other by but a small apparent distance : that apparent distance is measured by the angle contained by two straight lines drawn from the eye of the observer to the centres of those objects, without any regard to the length of those...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...that which is contained by " the straight line and the circumference." VIII. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment....
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...planes, is the quantity, whether greater or less, by which they depart from each other ; this quantity is measured by the angle contained by two straight lines drawn from the same point perpendicularly to the common intersection, the one being in one of the planes, and...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...that which is contained by the " straight line and the circumference." VIII. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment....
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