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" ... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ;... "
Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ... - Pàgina 28
per Sir John Leslie - 1809 - 493 pàgines
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 pàgines
...other straight lines, makes any exterior angle equal to the interior and opposite angle, or makes the interior angles on the same side together equal to two right angles, the two lines are parallel. Let the straight line EF inter- E sect the two straight lines AB, CD, making...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pàgines
...angle equal to the interior and opposite upon the same side ; and lihewise the two interior angles upon the same side together equal to two right angles. Let the straight line EFfall upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pàgines
...equal to the interior anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together equal to two right angles. Let the straight line UFfall upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pàgines
...angle equal to the interior and opposite upon the same side; and likewise the two interior unifies upon the same side together equal to two right angles. Let the straight line EFfaSi upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pàgines
...the exterior angle equal to the interior opposite angle on the same side of the line ; or makes the interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF which intersects the two straight lines...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 pàgines
...another, and the exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 7. In any right-angled triangle, the square which is described on the side subtending the right angle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 pàgines
...the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls on the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 pàgines
...the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls on the...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 pàgines
...equal to one another, the exterior angle equal to the interior and apposite angle on the same side, and the two interior angles on the same side together equal to two right angles. ABC is a triangle, bisect the angle BAG by AD, meeting BC in D, through D draw DE parallel to AB, and...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 pàgines
...also any exterior angle equal to the 'interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHDV i \VT.... are equal ;...
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