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" IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Pagina 46
door Euclides, James Hamblin Smith - 1879
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pagina’s
...equal to the interior and 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 shall be parallel. Let the st. line EF falling on the two st. lines AB, CD make ext. L EGB equal to...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 pagina’s
...line fall upon two paraHel straight lines 18 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 equal to two right angles. 5. To...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pagina’s
...upon two other straight lines, make the exterior angle equal to the interior and opposite upon tho same side of the line, or make the interior angles...angles, the two straight lines are parallel to one another1. 3. Prove that if the opposite angles of a Quadrilateral be equal, the Quadrilatéral is a...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 pagina’s
...equal to the interior and 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 shall be parallel. 29. If a straight line fall on two parallel straight lines, it shall make the alternate...
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Euclid's Elements of Geometry, Boeken 1-6

Henry Martyn Taylor - 1893 - 486 pagina’s
...the interior and opposite angle on the same side of the line ; or if it make two interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF, intersecting the two straight lines AB, CD, (1) make the exterior angle EGB...
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Euclid's Elements of Geometry, Boeken 1-6;Boek 11

Henry Martyn Taylor - 1895 - 708 pagina’s
...the interior and opposite angle on the same side of the line ; or if it make two interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF, intersecting the two straight lines AB, CD, (1) make the exterior angle EGB...
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Studies in Deductive Logic: A Manual for Students, by W. Stanley Jevons

William Stanley Jevons - 1896 - 344 pagina’s
...length meet upon that side on which are the angles which are less than two right angles. makes the two interior angles upon the same side together equal to two right angles ? [R.] 30. From 'Some members of Parliament are all the ministers' (Elementary Lessons, p. 325, No....
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 570 pagina’s
...are cut by a third straight line, if the two interior angles on the same side of the cutting line are together equal to two right angles, the two straight lines are parallel.] But AB is parallel to CD. Hyp. Hence AB coincides with XY. Ax. b [Through a given point only one straight...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 pagina’s
...are cut by a third straight line, if the two interior angles on the same side of the cutting line are together equal to two right angles, the two straight lines are parallel.] But AB is parallel to CD. Hyp. Hence AB coincides with XY. Ax. b [Through a given point only one straight...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pagina’s
...equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. I. Let the straight line EF, which falls on the two straight lines...
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