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" 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  "
Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ... - Σελίδα 92
των Sir John Leslie - 1809 - 493 σελίδες
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...centre ; that is, the centre is in CA. Therefore, if a ftraight line, &.c. Q^ ED a is. 3. PROP. XX. THEOR. THE angle at the centre of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. Let ABC...

Elements of the Philosophy of the Human Mind

Dugald Stewart - 1802 - 632 σελίδες
...different quantities, and the connexions which exifl between different relations. When we demonftrate, that the angle at the centre of a circle is double of the angle at the circumference on the fame bafe, we afcertain a relation between two quantities. When we demonftrate,...

Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 σελίδες
...the centre ; that is, the centre is in CA. Therefore, if a flraight line, &.c. Q^ED PROP. XX. THE OR. THE angle at the centre of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. Let ABC...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...centre ; that is, fore, if a straight line, &c. QB the centre is in CA. ED PROP. XX. THEOR. s«« 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. B a 5.1....

A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 398 σελίδες
...CBD, of the triangle ABC, is equal to the sum of the internal and opposite angles A and C. Fig. 3710. 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 : thus the...

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

Euclides - 1816 - 588 σελίδες
...CA, is the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED 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. Let ABC...

Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 456 σελίδες
...lines CA CD, and CB being all equal, the point C is the centre of the circle. PROP. XV. THEQR. . , The angle at the centre of a circle is double of the...Let AB be an arc of a circle ; the angle which it term!nates at the centre, is double of ADB the corresponding angle at the circumference. For join DC...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...CA, is the centre; thafris, the centre is in CA. Therefore, if* straight line, &c. QED r B 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. . Let ABC...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1819 - 800 σελίδες
...drawn at 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....

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

Euclid, Robert Simson - 1821 - 514 σελίδες
...in CA, is the centre; that is, the centre is in CA. Therefore if a straight line &c. QED 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.* LetABCbeacircle,and...




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