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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. "
The school edition. Euclid's Elements of geometry, the first six books, by R ... - Σελίδα 115
των Euclides - 1864
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 458 σελίδες
...said to be described about the polygon. 8. An angle is said to be inscribed in a segment when it is contained by two straight lines drawn from any point in the arc of the segment to the extremi/s ties of the subtending chord. Thus the anglea ACB, ADB are inscribed in the segment ADCB....

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 456 σελίδες
...circumference, as ABC. The circle is then said to be described about the polygon. GEOMETRY. tained by two straight lines drawn from any point in the arc of the segment to the extremities of the subtending chord. Thus the angles ACB, ADB are inscribed in the segment ADCB. 9. A secant is a line...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...that -which is contained by the straight line and the circumference. 8. 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....

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...that which is contained by the straight line and the circumference. 8. 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....

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 σελίδες
...ends of the chord must be placed either first or last. 12. An angle in a segment of a circle is the angle contained by two straight lines drawn from any point in the arc of the /{ segment to the ends of the chord. Thus ACB and ADB are angles in the segment ACB. 13. Similar segments of circles...

The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 420 σελίδες
...at the centre O, is called the angle at the centre. 187. An angle in a segment is the angle formed by two straight lines drawn from any point in the arc of the segment to the extremities of the base of the segment, as , or ZADB. 188. A sector of a circle is the figure bounded by two radii and...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...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....

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 σελίδες
...circumference. The chord of a segment is sometimes called its base. 13. An angle in a segment is one formed by two straight lines drawn from any point in the arc of the segment to the extremities of its chord. [It will be shewn in Proposition 21, that all angles in the same segment of a circle are...

A Text-book of Euclid's Elements for the Use of Schools. Books I ..., Βιβλίο 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 σελίδες
...circumference. NOTE. The chord of a segment is sometimes called its base. 8. An angle in a segment is one formed by two straight lines drawn from any point in the arc of the segment to the extremities of its chord. NOTE, (i) It will be shewn in Proposition 21, that all angles in the same segment of a circle...

A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 488 σελίδες
...AB, is also at right angles to the plane CD. 7. The inclination of a plane to a plane is the acute angle contained by two straight lines drawn from any point in the common section at right angles to it, one in one plane and one in the other. £ Thus in the adjoining...




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