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" The angle which an arc of a circle subtends at the centre is double that which it subtends at any point oil the remaining part of the circumference. "
Calendar - Σελίδα 225
των University of Allahabad - 1907
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Calendar, Μέρος 3

University of Calcutta - 1911 - 760 σελίδες
...the Algebraical identity o«— 6»=(o+6)(o— 6). Enunciate the Theorem which corresponds to 5 9. If two circles touch, the point of contact lies on the straight 7 line through the centres. Prove that, if two circles touch, the distance between their 7 centres...

Special Reports on Educational Subjects, Τόμοι 26-27

Great Britain. Board of Education - 1912 - 1044 σελίδες
...equal. 27. Equal chords of a circle are equidistant from the centre ; and the converse. 28. The tangent at any point of a circle and the radius through the point are perpendicular to one another. 29. If two circles touch, the point of contact lies on the straight line through the centres. 30. The...

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 σελίδες
...the other circle in P, Q, respectively. Prove that PQ is parallel to CD. /3 7. Prove that the tangent at any point of a circle and the radius through the point are perpendicular to one another. Two circles whose centres are A and B touch externally at C. The common tangent at C meete another...

Practical Geometry & Graphics: A Text-book for Students in Technical and ...

Edward L. Bates, Frederick Charlesworth - 1912 - 648 σελίδες
...larger segment P/, 3 Q, and the larger angle 'p is the angle in the smaller segment PBQ. 144. Theorem. The angle which an arc of a circle subtends at the centre is double the angle it subtends at any point on the circumference. For, let 0 and ';,, Fig. 143, be the angles...

The Calendar

University of South Africa - 1913 - 768 σελίδες
...point in common which will be on the line joining the centres. Definition of tangency of two circles. The angle which an arc of a circle subtends at the...centre is double that which it subtends at any point in the remaining part of the circumference. Angles in the same segment of a circle are equal, and if...

Regulations

University of Calcutta - 1914 - 430 σελίδες
...point, ]jsj (i) they are equal, (ii) they subtend equal angles at the centre of j™ the circle. ga| If two circles touch, the point of contact lies on the straight am line through the centres. tw The angle which an arc of a circle subtends at the centre is double...

Mathematics in the Lower and Middle Commercial and Industrial ..., Τεύχη 34-42

Edson Homer Taylor - 1915 - 552 σελίδες
...are equal. Equal chords of a circle are equidistant from the center; and the converse. The tangent at any point of a circle and the radius through the...point of contact lies on the straight line through the centers. The angle which the arc of a circle subtends at the center is double that which it subtends...

Bulletin, Τεύχη 38-46

1915 - 906 σελίδες
...are equal. Equal chords of a circle are equidistant from the center; and the converse. The tangent at any point of a circle and the radius through the...point of contact lies on the straight line through the centers. The angle which the arc of a circle subtends at the center is double that which it subtends...

Bulletin, Τεύχη 33-43

1915 - 816 σελίδες
...are equal. Equal chords of a circle are equidistant from the center; and the converse. The tangent at any point of a circle and the radius through the...point of contact lies on the straight line through the centers. The angle which the arc of a circle subtends at the center is double that which it subtends...

Statistics of Land-grant Colleges and Universities, Τόμος 3,Τεύχη 31-44

United States. Office of Education - 1915 - 1296 σελίδες
...are equal. Equal chords of a circle are equidistant from the center; and the converse. The tangent at any point of a circle and the radius through the...point of contact lies on the straight line through the centers. The angle which the arc of a circle subtends at the center is double that which it subtends...




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