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" To bisect a given arc, that is, to divide it into two equal parts. Let ADB be the given arc : it is required to bisect it. "
Elements of Geometry: Containing the Principal Propositions in the First Six ... - Página 100
por Euclid - 1789 - 272 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 páginas
...bafe EF. Therefore in equal circles, &c. Q._E. D. PROP. XXX. PRO B. 3 bifect a given circumference, that is to divide it into two equal parts. Let ADB be the given circumference ; it is required to bifect it. Join AB, and bifect a it in C ; from the point C draw...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 páginas
...the bafe EF. Therefore, c 4 ». in equal circles, &c. Q^ED PROP. XXX. ^PROB. T O bifeft a given arch, that is, to divide it into two equal parts. Let ADB be the given arch ; it is required to bifedb it. Join AB,'and bifeft» it in C ; from the point C draw CD a i0....
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...the bafe EF. Therefore, in equal circles, &c. Q^ED PROP. XXX. PROB. TO bifeft a given circumference, that is, to divide it into two equal parts. Let ADB be the given circumference ; it is required to bifecl it. a. 10. i. J0in AB, and bifect » it in C ; from the point...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...the base EF. Therefore, in equal circles, &c. QED PROP. XXX. PROB. To bisect a given circumference, that is, to divide it into two equal parts. Let ADB be the given circumference; it is required to bisect it. ^ • 10. 1. Join AB, and bisect1 it in C ; from the point...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 páginas
...(4. 1.) to the base EF. Therefore, in equal circles, &c. QED PROP. XXX. PROB. To bisect a given arch, that is, to divide it into two equal parts. Let ADB be the given arch ; it is required to bisect it. Join AB, and bisect (10. 1.) it in C ; from the point C draw CD...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...EF. Therefore in *4. i• equal circles, &c. QED PROP. XXX. PROB. To bisect a given circumference, that is, to divide it into two equal parts. Let ADB be the given circumference ; it is required to bisect it. Join AB, and bisect * it in C ; from the point C draw...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 páginas
...there will be formed a right angled triangle equal to ABE (Prop. 18. BI). PROP. III. PROB. To bisect a given arc, that is, to divide it into two equal...parts. Let ADB be the given arc ; it is required to bisect it. Join AB, and bisect (Prob. 5. 1.) it in C ; from the point C draw CD at right angles to...
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The Element of Geometry

John Playfair - 1836 - 114 páginas
...the base EF. Therefore, in equal circles, &c. QED PROP. XXL PROB. To bisect a given circumference, that is, to divide it into two equal parts. Let ADB be the given circumference ; it is required to bisect it. Join AB, and bisect (8. 1.) it in C; from the point C...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...the centres of the circles (III. 1), and join BK, «: *> sx PROPOSITION XXX. PROBLEM. * ' To bisect a given arc, that is, to divide it into two equal...parts. Let ADB be the given arc ; it is required to bisect it. Join AB, and bisect it in C (1. 10) ; from the point C draw CD at right angles to AB, and...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 páginas
...equal, their radii are equal : therefore BK, KG are equal to EL, LF : and 80 PROP. XXX. THEOR. To bisect a given arc, that is, to divide it into two equal...parts. Let ADB be the given arc ; it is required to bisect it. Join AB, and bisect (10. 1.) it in C ; from the point C draw CD at right angles to AB, and...
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