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" If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight... "
First principles of Euclid: an introduction to the study of the first book ... - Seite 104
von T S. Taylor - 1880
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...AB and CD are parallel. Def. 26. QEI). PROPOSITION XXVIII. THEOREM. If a straight line, falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side oj' the line, or make the interior angles upon the same side together equal to two...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 Seiten
...straight lines are parallel and a third straight line intersects them, each of the exterior angles is equal to the interior and opposite angle on the same side of the intersecting line. Let AB and CD be parallel, and let EH intersect ; them in the points F and L. We...
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Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873 - 182 Seiten
...Proposition 28. — Theorem. If a straight line fall on two parallel straight lines, it makes — (1.) The exterior angle equal to the interior and opposite angle on the same side of the line ; (2.) The alternate angles equal ; and (3.) The two interior angles on the same side of the line equal...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 Seiten
...line fall on two parallel straif/ht lines, it makes the alternate angles equal to one 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. j Let the straight...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...Therefore, if a straight line, &c. QED Proposition 28. — Theorem. If a straight line fatting upon two other straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles upon the same side together equal to two...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...if a straight line, &c. QED Proposition 28. — Theorem. If a straight line falling upon two otlier straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make t/ie interior angles upon the same side together equal to two...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...angle BAC to the third angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION 27. — Theorem. If a straight line falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. Let the straight...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 Seiten
...4. If a straight line fall on two parallel straight lines it makes the alternate angles equal, 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. What axiom...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...Therefore, if a straight line, &c. QED Proposition 28. — Theorem. Tf a straight line falling upon (wo other straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles upon the same side together equal to two...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 Seiten
...describe its suppression. 3. Describe the chief events of Monmouth's rebellion in England and Scotland. 1. If a straight line falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. 2. The complements...
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