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" ... any straight line drawn parallel to them will cut the other sides, or those sides produced, proportionally. 351. ABC is a triangle ; it is required to draw from a given point P, in the side AB, or AB produced, a straight line to AC, or AC produced,... "
382 exercises, solved, upon the 3rd, 4th, 5th, and 6th books of Euclid - Page 139
by Patrick M. Egan - 1883
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...AB produced, a straight line to AC, or AC produced, so that it may be bisected by BC. VI. 3, A. 352. The side BC of a triangle ABC is bisected at D, and...lines. DE, DF, meeting AB, AC at E, F respectively : shew that EF is parallel to BC. 353. AB is a diameter of a circle, CD is a choi d at right angles...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...AB produced, a straight line to AC, or AC produced, so that it may be bisected by BC. VI. 3, A. 352. The side BC of a triangle ABC is bisected at D, and...lines DE, DF, meeting AB, AC at E, F respectively : shew that EF is parallel to BC. 353. AB is a diameter of a circle, CD is a chord at right angles...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...AB produced, a straight line to AC> or AC produced, so that it may be bisected by BC. VI. 3, A. 352. The side BC of a triangle ABC is bisected at D. and...lines DE, DF, meeting AB, AC at E, F respectively : shew that EF is parallel to BC. 353. AB is a diameter of a circle, CD is a chord at right angles...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...AB produced, a straight line to AC> or AC produced, so that it may be bisected by BC. VI. 3, A. 352. The side BC of a triangle ABC is bisected at D. and...lines DE, DF, meeting AB, AC at E, F respectively : shew that EF is parallel to BC. 353. AB is a diameter of a circle, CD is a chord at right angles...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...CD points E, F are taken such that AE : EB = DF : FC : prove that E, 0, F are collinear. (164). 6. The side BC of a triangle ABC is bisected at D, and...E, F respectively : show that EF is parallel to BC. Apply (303). 7. AB is a diameter of a circle, CD is a chord at right angles to it, and E is any point...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...ACE. I. 2g. and the ext. _ BAX =the int. opp. L. AEC; I. 2g. .'. the _ BAX = the L XAC. EXERCISES. 1. The side BC of a triangle ABC is bisected at D, and...lines DE, DF, meeting AB, AC at E, F respectively: shew that EF is parallel to BC. 2. Apply Proposition 3 to trisect a given finite straight line. 3....
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...segments of the sides made by the bisectors of the angles (220). 42. Propositions 220, 221, 223. 1. The side BC of a triangle ABC is bisected at D, and the bisectors of the angles ADB, ADC meet AB, AC at E and F respectively. Prove that EF is parallel 2....
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...ZE = Z CAD. (?) Z ABE = Z DAB. (?) .-. AB=AE. (?) BD:DC::AE:AC. (?) BD:DC::AB:AC. (?) QED Ex. 239. The side BC of a triangle ABC is bisected at D, and the angles ADB and ADC are bisected by the straight lines DE and DF, meeting AB and AC at E and F respectively ; prove...
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The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 pages
...points dividing AB internally and externally in the given ratio. What is the exceptional case 1 51. The side BC of a triangle ABC is bisected at D, and...are bisected by the straight lines DE, DF meeting AC, AB at E, F respectively. Prove that EF is parallel to BC. 52. If the bisector of the angle A of...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...I. 29. and the ext. L BAX = the int. opp. L AEC; I. 29. .-. the^ BAX = the L XAC. QED EXERCISES. 1. The side BC of a triangle ABC is bisected at D, and...lines DE, DF, meeting AB, AC at E, F respectively : shew that EF is parallel to BC. 2. Apply Proposition 3 to trisect a given finite straight line. 3....
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