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" Let BAC be the given rectilineal angle, it is required to bisect it. Take any point D in AB, and from AC cut (i. "
Stories about Mathematics-land - Page 44
by D. Ponton - 1927
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...and is equal b to it. therefore if two triangles, &c. Q^ED b. •. As, PROP. IX. PRO B. HP O bifecr. a given rectilineal angle, that is, to divide it into two equal angles. Let BAC be the given rectilineal angle, it is required to bifect it. Take any point D in AB,...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...equal b to it. There. b. 8< Alt' lore if two triangles, &c. Q.. E. D'. PRO P. IX. PRO B. TO bifect a given rectilineal angle, that is, to divide it into two equal angles. Let BAC be the given rect lineal angle, it is required to bikcl it. Take any point D in AB,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle EDF, and is equal b to it. Therefore, if two triangles, &c. b 8. ArQED PROP. IX. PROB. 0 bifect a given rectilineal angle, that is, to divide it into two equal angles. Let BAC be the given rectilineal angle, it is required to bifeft it. C a Take *• 3- ib ii...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...coincide, and the angle DEF be equal to the angle ABC, as was to be fhewn. PROP. IX. PROBLEM. To bifetSl a given rectilineal angle, that is, to divide it into two equal parts. Let BAC be the given reftilineal angle; it is required to divide it into two equal parts. Take any...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...with the angle EDF, and is equalb to b8- Axit. Therefore, if two triangles, &c. QED PROP. IX. PROB. TO bisect a given rectilineal angle, that is, to divide it into two equal angles. Let BAG be the given rectilineal angle ; it is required to bisect it. Take any point D in AB,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...the angle EDF, and is equal b to it. Therefore, if two triangles, b 8. Ax. &c. QED PROP. IX. PROD. TO bisect a given rectilineal angle, that is, to divide it into two equal angles. Let BAC be the given rectilineal angle ; it is required to bisect it. Take any point D in AB,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...shall be equal to the angle contained by the two sides equal to them, of the other. Prop. IX. Prob. To bisect a given rectilineal angle, that is, to divide it into two equal angles. Prop. X. Prob. To bisect a given finite straight line, that is, to divide it into two equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...the angle EDF, and is equalb to it. Therefore if two triangles, &c. 8 A t. QED PROP. IX. PROB. . ' * To bisect a given rectilineal angle, that is, to divide it into two equal angles. Let BAC be the given rectilineal angle, it is required to bisect it. Take any point D in AB,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...with the angle EDF, and is equal (8. Ax.) to it. Therefore if two triangles, &c. Q, ED PROP. IX. PROB. To bisect a given rectilineal angle, that is, to divide it into too equal angles. , Let BAC be the given rectilineal angle, it is required to bisect it. Take any point...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...was only necessary to demonstrate this, and assume the rest as consequents. PROPOSITION IX. PROBLEM. To bisect a given rectilineal angle, that is, to divide it into two equal parts. Let BAC be the given rectilineal angle ; it is required to bisect it. Take any point D in the right...
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