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" If a 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 same side; and also the two interior angles on the same side together equal... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 27
av Euclides - 1837 - 88 sider
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...duplicate ratio occurs, and give a numerical illustration. 2. Prove that if a straight line falls on two parallel straight lines it makes the alternate angles equal to one another. 3. To a given straight line, apply a parallelogram equal to a given triangle and having one of its...
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The School World: A Monthly Magazine of Educational Work and Progress, Volum 4

1902
...lines. Will any straight lines do ? If not, in what way is the choice of straight lines limited ? 15) If a straight line fall upon two parallel straight lines, it makes the two interior angles on the same side together equal to two right angles, and also the alternate angles...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, then ic shall make the alternate angles equal to one another, and the exterior angle equal to the interior opposite angle on the same side ; and also the two interior angles on the same side equal to two right...
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Science Examinations ... Reports, Etc

1906
...State the axiom on which your proof of the following theorem depends : — If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another. Give the proof of the theorem. In the quadrilateral A BCD the sides AH and CD are parallel and AB is...
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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1906
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on two parallel straight lines, it makes the alternate angles equal to one another. 4. The three interior angles of any triangle in marking out work, and the methods of иге together...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on two parallel straight lines, it makes the alternate angles equal to one another. H 113 Anс THE ENCYCLOPEDIA OF 4. The three interior angles of any triangle in marking out work, and...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1908
...most important of these propositions in its practical bearing is : — " If a straight line fall on two parallel straight lines it makes the alternate...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...
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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1908
...propositions in its practical bearing is: — "If a straight line fall on two parallel straight lines P " it makes the alternate angles equal to one another,...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...
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The Durham University Journal, Volum 1

University of Durham - 1879
...[MARCH 22, 1879. 3. State Euclid's twelfth axiom. IB there any proposition of which it is the converse ? If a straight line fall upon two parallel straight lines it makes the alternate angles equal. 4. Prove that parallelograms on equal bases and between the same parallels are equal. In what sense...
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The Sheet-Metal Worker's Instructor

R. H. Warn, John G. Horner - 2002 - 284 sider
...of every triangle has the greater angle opposite to it. (Enc. I. 18.) (d) If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another. (Euc. I. 29.) (e) The opposite sides and angles of a parallelogram are equal to one another. (Euc....
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