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" From a point E in the common base of two triangles ACB, ADB, straight lines are drawn parallel to AC, AD, meeting BC, BD at F, G : shew that FG is parallel to CD. "
382 exercises, solved, upon the 3rd, 4th, 5th, and 6th books of Euclid - Page 139
by Patrick M. Egan - 1883
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...taken a third proportional to BA, AC, then shall the triangle BDC be similar to the triangle BAC. 17. From a point E in the common base of two triangles...lines are drawn parallel to AC, AD meeting BC, BD in F and G, shew that the lines joining F, G and C, D will be parallel. 18. AB is a given straight...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...mean proportional between the other two. 3. From a point E in the common base of two triangles ACS, ADB, straight lines are drawn parallel to AC, AD, meeting BC, BD at F, G; prove that fG is parallel to CD. 4. The rectangle contained by two lines is a mean proportional between...
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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
...drawn from it to the three angular points the triangle will be divided into three equal triangles. 345. From a point E in the common base of two triangles...are drawn parallel to AC, AD, meeting BC, BD at F, G : shew that FG is parallel to CD. 346. From any point in the base of a triangle straight lines are...
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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
...drawn from it to the three angular points the triangle will be divided into three equal triangles. 345. From a point E in the common base of two triangles...lines are drawn parallel to AC, AD, meeting BC, BD s,tF,G: shew that FG is parallel to CD. 346. From any point in the base of a triangle straight lines...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...base describe a triangle, having a given vertical angle, and one of its sides double of the other. 7. From a point E in the common base of two triangles...lines are drawn parallel to AC, AD, meeting BC, BD in F and (?. Shew that the lines joining F, Q and C, D will be parallel. 8. From the angular points,...
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Introduction to quaternions, by P. Kelland and P.G. Tait

Philip Kelland - 1873 - 248 pages
...the same direction, is zero. " 8. From a point E in the common base AB of the two triangles ABC, ABD, straight lines are drawn parallel to AC, AD, meeting BC, BD at F, G ; shew that FG is parallel to CD. 9. From any point in the base of a triangle, straight lines are drawn...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 pages
...triangle, having a given vertical angle, and one of its sides double of the other. 7. From a point M in the common base of two triangles ACB, ADB, straight...lines are drawn parallel to AC, AD, meeting BC, BD in I and G. Shew that the lines joining F, G and C, D will be parallel. 8. From the angular points,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...and one of it* sides double of the other. 7. From a point E in the common base of two triangles ACS, ADB, straight lines are drawn parallel to AC, AD, meeting BC, BD in F and 0. Shew that the lines joining F, G and C, D will be parallel 8. From the angular points,...
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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
...drawn from it to the three angular points the triangle will be divided into three equal triangles. 345. From a point E in the common base of two triangles...lines are drawn parallel to AC, AD, meeting BC, BD &iF,G: shew that FG is parallel to CD. 346. From any point in the base of a triangle straight lines...
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Introduction to Quaternions: With Numerous Examples

Philip Kelland, Peter Guthrie Tait - Quaternions - 1882 - 308 pages
...the same direction, is zero. 8. From a point E in the common base AB of the two triangles ABC, ABD, straight lines are drawn parallel to AC, AD, meeting BC, BD at F, G ; shew that FG is parallel to CD. 9. From any point in the base of a triangle, straight lines are drawn...
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