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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... "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Seite 38
von Euclides - 1838
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 Seiten
...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...straight lines AB, CD; the alternate angles AGH, GHD, are equal to one another ; and the extsrior angle EGB is equal to the interior and opposite, upon the...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - 1873 - 202 Seiten
...makes the alternate angles equal; 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 \ T alternate angles AG II, GHD are \Q. equal ; the exterior...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 Seiten
...angles on the same side together equal to two right angles. j Let the straight line EF fall on the two parallel ' • straight lines AB, CD : the alternate...exterior angle EGB shall be equal to the interior and opposite angle on the same side, GHD, and the two interior angles on the same side, BGH, GHD, shall...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - 1874 - 206 Seiten
...makes the alternate angles equal; 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, GHD are \G equal ; the exterior...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...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 right angles, the two straight lines sliall be parallel to one another. Let the straight line EF, which falls upon...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...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 lines sha/.l be parallel to one another. Let the straight line EF, which falls upon...
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New Elementary Geometry, with Practical Applications

Benjamin Greenleaf - 1875 - 204 Seiten
...alternate angles equal; also any exterior angle equal to the interior and opposite angle.; and the tiro 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, GHD are equal; the exterior angle...
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The Teachers' assistant and pupil teachers' guide, Band 1

1876 - 400 Seiten
...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 equal to two right angles. AB is parallel to CD, AD is bisected in E ; show that any other straight line drawn through E to meet...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 Seiten
...opened by Her Majesty in person." Explain this statement fully as to an advanced class of children. likewise the two interior angles upon the same side together equal to two right angles. 2. It two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 Seiten
...0. ED PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles equal to one another, and alao the exterior angle equal to the interior...
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