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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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...base EF. Therefore, in equal circles, etc. QED PROPOSITION XXX. PBOB. 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 (10. i.) it in C ; from the point...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 páginas
...angles opposite to the equal sides AB, CD. 60. PROP. XII. To bisect a given arc of a circle. Let ABC be the given arc. It is required to divide it into two parts in the point B, so that the arc AB = arc EC. Join AC; bisect AC in D; from D draw DB at right...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...la the same circle, equal arcs are subtended by equal straight lines. PROP. 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 (I. 10) it at С. From the point С, draw СD at right angles (I. 11)...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 páginas
...equal angles ; therefore the base BC is equal (4. 1.) to th« base EF. PROP. XXX. THEOR. To bisect a given arc, that is, to divide it into two equal parts. Let ABB be the given arc ; it is required to bisect it. Join AB, and bisect (10. 1.) it in • ; from the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...equal to the base EF. (I. 4.) Therefore, in equal circles, &c. QED 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. D Join AB, and bisect it in C; (i. 10.) from the point C draw CD at right angles to AB....
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...substituted ' in the same circle,' and they are often so applied. PROPOSITION XXX. PROBLEM. To bisect a given arc ; that is, to divide it into two equal parts. Given the arc ADC ; it is required to bisect it. (Const.) Join AB, and bisect it in C (I. 10) ; from...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...two sides EL, LF, each to each; and they contain equal angles; PROPOSITION 30.— PROBLEM. To bisect a given arc, that is, to divide it into two equal parts. (Kef erences— Prop. I. 4, 10, 11; III. 1 cor., 28.) Given. — Let ADB be the given arc. Sought....
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...equal to the base EF. (l. 4.) Therefore, in equal circles, &c. QED 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. D Join AB, and bisect it in C; (l. 10.) from the point Cdraw CD at right angles to AB. (T....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...base EF. (I. 4.) Therefore, in equal circles, &c. QED PROPOSITION XXX. PROBLEM. To bisect a given are, that is, to divide it into two equal parts. Let ADB be the given arc : it is required to bisect it. D Join AB, and bisect it in C; (I. 10.) from the point Cdraw CD at right angles to AB. (T....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...without or in the circumference, which shall be a tangent to a given circle . HI. 17. 3. To bisect a given arc, that is, to divide it into two equal parts . HE. 30. 4. A segment of a circle being given, to describe the circle of which it is the segment .........
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