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 Books Bücher 71 - 80 von 138 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
Vollansicht - Über dieses Buch ## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...Is, the centre of tlie circle IB in CA. Therefore, if a straight line, &c. QED PROP. XX.— THEOREM. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon tlie same part of the circumference. (References —...
Vollansicht - Über dieses Buch ## The college Euclid: comprising the first six and the parts of the eleventh ...

...is, the centre of the circle is in CA. Therefore, if a straight line, &c. QED PROP. XX.— THEOREM. 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. (References —...
Vollansicht - Über dieses Buch ## The Quarterly journal of education and scholastic advertiser

1872
...proposition as Prop. C, where it is proved for the case of an angle not less than two right angles, that " the angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc." Lastly, a proposition not given by Euclid, but essential...
Vollansicht - Über dieses Buch ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 Seiten
...centre ; therefore the centre is in CA. Wherefore, if a straight line &c. QED 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\i& a circle, and BEC an angle at...
Vollansicht - Über dieses Buch ## Report of the commissioners, Band 7

...two numbers diminished by twice their product. Prove this both geometrically and algebraically. 20 5. 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. 10 G. The exterior...
Vollansicht - Über dieses Buch ## Minutes Of The General Council Of Medical Education & Registration Of The ...

Dr. Francis Hawkins - 1869
...line. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. 3. The angle at the centre of a circle is double of the angle at the circumference upon the same base. 4. Divide x? + 11 x 3 + x 2 - 12 x 4- 12 by x 3 - x + 1 : and simplify...
Vollansicht - Über dieses Buch ## The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 Seiten
...whatever, ie. whether greater or less than two right angles (Bk. II. Note, p. 74). Corollary 1. — Since the angle at the centre of a circle is double of the angle at the circumference subtended by the same arc, and since magnitudes have to one another the same ratio that...
Vollansicht - Über dieses Buch ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 Seiten
...might be stated thus '.—Every normal to tvrcU passes through the centre. PROPOSITION "KX. THEOREM. The angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc. • Let ABC be a © , O the centre, BCany arc, A any pt....
Vollansicht - Über dieses Buch ## Elements of geometry, containing the first two (third and fourth ..., Teil 2

Euclides - 1872
...touch the less, the parts intercepted between the two circles are equal. PEOPOSITION XX. THEOREM. Tfte angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc. Let ABC be a ©, O the centre, j .0(7 any arc, A any pt....
Vollansicht - Über dieses Buch ## Euclid's Elements of Geometry

Euclid - 1872 - 261 Seiten
...that no other point without the right line AB, is the centre. PROPOSITION XX. THEOREM. The angle (ACD) at the centre of a circle, is double of the angle at the circumference, when they have the same part of the circumference for their base. Firstly — Let either...
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