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Books Bücher 11 - 20 von 133 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1819
...right angles to the touchingline, the centre of the circle shall be in that line. Prop. XX. Theor. 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. Prop. XXI. Theor....
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Elements of the Philosophy of the Human Mind, Bände 1-2

Dugald Stewart - 1822
...quantities, and the connexions which exist between d ¡i li wiit relations. When we demonstrate, that the angle at the centre of a circle is double of the anglt? at the circumference on the same base, we ascertain a relation between two quantities. When...
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The new practical builder, and workman's companion, Band 2

Peter Nicholson - 1823
...to AB, which is impossible : therefore the angle ACB is equal to DCE. THEOREM 34. 91. An angle, ACB, at the centre of a circle, is double of the angle at the cirumference, upon the same arc, AB. Draw DC, (fig. 1,) and produce it to E. First, let the angle at...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 Seiten
...centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED Proposition 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. Let ABC be a circle,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 Seiten
...centre; that is, the centre is in CA. Therefore, if a straight line, &c. QED PROP. XX. THEOR. See N. 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. Let ABC be a circle,...
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Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 Seiten
...centre; that is, the centre is in CA. Therefore, if a straight line &c. QE 1). PROPOSITION XX. THEOREM. The angle at the centre of a circle is double of the angle at -the circumference, both standing on the same arch. Let ABC be a circle, and BDC an angle at the centre,...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829
...different quantities, and the connexions which exist between different relations. When we demonstrate, that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate,...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 Seiten
...between one and two, two and three, three and four, &c. quadrants. PROP. 14. (Eue. iii. 20.) The a?igle 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. Let А С В be...
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A Collection of Cambridge Mathematical Examination Papers: As Given at ...

John Martin Frederick Wright - 1833
...given point, 2c the radius of the generating circle of the cycloid = — TRINITY COLLEGE, JUNE 1832. 1. THE angle at the centre of a circle is double of the angle at the circumference upon the same base. 'io .& rtr • 3x* — ifix — 12 2. Reduce the fraction ; to its...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 Seiten
...Proposition called by Simson the Twentieth of the Third Book, the object of -vhich is to show that the angle at the centre of a circle is double of the angle at the circumference. COR. 16. If evidence is demanded of the existence of magnitudes which, being added together...
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