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" 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; and likewise the two interior angles upon the same side together... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Seite 34
von Euclid, Isaac Todhunter - 1867 - 400 Seiten
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 532 Seiten
...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, \ С...
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Responsions

University of Oxford - 1863 - 316 Seiten
...triangle upon a given finite straight line. 4. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite angle upon the same side ; and also the two interior angles on the same side together equal to two right...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 Seiten
...the 27th, and the 2Sth.) If a line fall upon two parallel st. lines, it mahes the alternate angle* equal to one another ; and the exterior angle equal to the interior and opposite angle upon the same side ; and lihewise the two interior angles upon the same •tide together equal to two...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 Seiten
...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 Seiten
...line, &c. QED PROPOSITION XXIX. THEOREM. // a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...exterior 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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 Seiten
...line, &c. QHD PROPOSITION XXIX. 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 anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...shall be parallel to one another. P Prop. 29. If a straight line fall npon two parallel straight lines, it makes the alternate angles equal to one another...exterior angle equal to the interior and opposite angle npon the same side; and likewise the two interior angles upon the same side together equal to two right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...line, &c. QED PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another;...exterior 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...
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First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - 1865 - 336 Seiten
...angles shall be equal. Prop. 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 Seiten
...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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