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" To find the centre of a given circle. Let ABC be the given circle ; it is required to find its centre. Draw within it any straight line AB, and bisect (I. "
Elements of Geometry: Containing the Principal Propositions in the First Six ... - Side xii
af John Bonnycastle - 1803 - 279 sider
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...circle are those in which the angles are equal, or which contain equal angles. PROP. I. PROB. See N. To find the centre of a given circle. Let ABC be the...given circle ; it is required to find its centre. a 10. 1. Draw within it any straight line AB, and bisect* it in D; b 11. i. from the point D drawb...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 sider
...circle, are those in which the angles are equal, or which contain equal angles. • PROP. I. PROB. To find the centre of a given circle. Let ABC be the...given circle ; it is required to find its centre. a 10. 1. b 11. 1. c8.1. '.Draw within it any straight line AB, and bisect* it in Book HI. D; from the...
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The Element of Geometry

John Playfair - 1836 - 148 sider
...the diameter divides the circle into two equivalent parts. Which was to be proved. PROP. III. PROB. To find the centre of a given circle. Let ABC be the...given circle ; it is required to find its centre. Drawany straight line AB in the circle 'ABC, and bisect (8. 1.) it in D ; from the point D draw (9....
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...which contain equal angles. 9. Concentric circles are those which have the same centre. PROP. I. PROB. To find the centre of a given circle. Let ABC be the...is required to find its centre. Draw any chord AB, and (I. 10.) bisect it in D ; from D draw (I. 11.) EDC at right angles to AB, and bisect it in F: F...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...the point without the circle from which it is drawn being a point of external section. PROPOSITION I. PROBLEM. To find the centre of a given circle....given circle; it is required to find its centre. Draw within it any chord AB, and bisect it in D (1. 10); from the point D draw DC at right angles to AB...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...segments of circles are those in which the angles are equal, or which contain equal angles. PROP. I. PROB. To find the centre of a given circle. Let ABC be the...circle ; it is required to find its centre. Draw any straight line AB, terminating in the circumi ference, and bisect* it in D ; from the point D ' ' draw*...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 sider
...of a circle, are those in which the angles are equal, or which contain equal angles. PROP. I. PROB. To find the centre of a given circle.* Let ABC be...given circle; it is required to find its centre. Draw within it any straight line AB, and bisect (10. 1.) it in D; from the point D-draw (11. 1.) DC at right...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...segments of circles are those in which the angles are equal, or which contain equal angles. PROP. I. PROB. To find the centre of a given circle. Let ABC be the...is required to find its centre. Draw any chord AB, and bisect* it in D; from the * 10. 1. point D draw* DC at right angles to AB, and produce * 11. 1....
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...of a circle are those in which the angles are equal, or which contain equal angles. PROP. I. PROB. To find the centre of a given circle. Let ABC be the...given circle: it is required to find its centre. Draw within it any straight line AB, and bisect (10. 1.) it in D; from the point D draw (11. 1.) DC at right...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 sider
...a circle, are those in which the angles are equal, or which contain equal angles. PROP. I. PROB. * To find the centre of a given circle. Let ABC be the...given circle ; it is required to find its centre. Draw within it any straight line AB, and bisect (10. 1.) it in D ; from the point D draw (11. 1.) DC at...
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