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Books Bücher 101 - 110 von 135 in The angle at the centre of a circle is double of the angle at the circumference upon...
" The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. "
An Encyclopædia of Architecture: Historical, Theoretical, and Practical - Seite 316
von Joseph Gwilt - 1842 - 1089 Seiten
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...than the chord drawn at right angles to the diameter passing through that point. PROP. XX. THEOREM. The angle at the centre of a circle is double of the angle at the circumference standing upon the tame arc, that it, upon the same part oj the circumference. Let ABC...
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The Oxford examiner, ed. by M.W.I. Shilleto

Mary W I. Shilleto
...one paper, but to make use of the whole set. Women (Pass). (a) EUCLID; (V) ALGEBKA; (c) MECHANICS. 1. The angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc. If two straight lines AEB, CED in a circle intersect in E,...
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The Glasgow University Calendar for the year 1883-84

james maclehose and sons - 1883
...with the square on the line between the points of section, is equal to the square on half the line. 4. The angle at the centre of a circle is double of the angle at the circumference upon the same arc. 5. A straight line touches a circle and from the point of contact...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 Seiten
...centre ; therefore the centre is in CA. Wherefore, if a straight line &c. QBD PROPOSITION 20. THEOREM. The angle at the centre of a circle is double of the angle at the circumference on the same base, that is, on the same arc. Let ABC be a circle, and BEC an angle at...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...produced backwards pass through the centre of the other, AB is equal to the radius of either circle. 6. The angle at the centre of a circle is double of the angle at the circumference on the same base, that is, on the same part of the circumference. ABC is an isosceles...
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Observations Upon the Topography & Climate of Crowborough Hill, Sussex ...

Charles Leeson Prince - 1885 - 104 Seiten
...map. In proof of the truth of this construction let us refer to Euclid 3, XX., where we find that " The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference." Hence the point...
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Calendar of Dalhousie College and University

Dalhousie University - 1888
...of the equal sides is equal to the rectangle of the segments of the base. Prove for one figure. 4. The angle at the centre of a circle is double of the angle at thecircumference, standing on the same arc. Prove when the centre ia outside the angle at the circumference;,...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...both acute, and the angle DCB being greater than the angle ACB, show that DB is greater than AB. 6. The angle at the centre of a circle is double of the angle at the circumference on the same base, that is, on the same arc. On the base BC of a triangle ABC, which has...
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...Describe an isosceles triangle having each of the angles at the base double of the third angle. 2. The angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc. 3. If two isosceles triangles be of equal altitude, and the...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Royal Military College, Sandhurst - 1890 - 132 Seiten
...nature of the contact, when the given straight line (i) falls without, (2) cuts the given circle ? 3. The angle at the centre of a circle is double of the angle at the circumference on the same base, ie on the same part of the circumference. If two straight lines AEB,...
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