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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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The Practical Teacher; with which is Incorporated the Practical ..., Band 2

Joseph Hughes - 1883 - 568 Seiten
...[All generally understood abbreviations for words may be used.] '• If a straight line, falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the Míe side of the line ; or make the interior angles upon the same side together equal to two...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 Seiten
...straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the game side; and also the two interior angles on the same side together equal to two right angles. on...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 Seiten
...do not meet when produced towards A, C. .-. AB and CD are parallel (Def. 28). QED PROP. 28. THEOR. If a straight line falling on two other straight lines make the corresponding angles equal, the lines shall be parallel; or, If a straight line falling on two other...
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The Practical Teacher, Band 2

1883 - 654 Seiten
...to you by the Inspector. Euclid. [All generally understood abbreviations for wot it may be used.] I- If a straight line falling on two other straight lines, make the alternate angles equal to each other ; these two straignt lines «ball be parallel. At the point A...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 Seiten
...exterior angle is greater than either of the interior opposite angles. PO PROPOSITION XXVII. THEOREM. If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another. GIVEN...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 Seiten
...contained by the whole and each of the parts are together equal to the square on the whole line. 5. If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another. 6....
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Transactions and Proceedings of the New Zealand Institute, Band 19

New Zealand Institute - 1887 - 748 Seiten
...second part of Euclid I., 29 : — " If a straight line fall upon two parallel straight lines, it shall make the exterior angle equal to the interior and opposite angle on the same side." This is an immediate consequence, hardly more than a re-statement, of the concept of parallel straight...
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Annual Report

Canada. Department of the Interior - 1888 - 756 Seiten
...three given straight lines, but any two whatever of these must ba greater than the third. 3. Show that 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. 4. Draw a straight...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 Seiten
...straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle on the same side of the line, and the two interior angles on the same side of it together equal to two right angles. AB and CD are...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - 1889 - 1004 Seiten
...exterior angle is greater than either of the interior opposite angles. 2. If a straight line, fulling 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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