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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 also the two interior angles upon the same side together equal... "
Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...
por Stewart W. and co - 1884
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...&c. QED 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 of the line; or make the interior angles upon the same side together equal to two right angles ; the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 páginas
...line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal...the same side ; and likewise the two interior angles fipo* the same side together equal to two right angles. Let the straight line EF fall upon the parallel...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1866 - 328 páginas
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the tivo 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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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 páginas
...of the square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate angles equal...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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 páginas
...a straight line &c. QED ' )i.! • PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate angles equal...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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 páginas
...straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight Una, 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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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 páginas
...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, GHDV i \VT.... are equal ; the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 páginas
...remaining angle GHD; (ax. 3.) PROPOSITION XXIX. THEOREM. 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 t/te interior and opposite upon the same side ; and likewise the two interior angles upon ihe same...
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Annual Report of the Normal, Model, Grammar, and Common Schools in Ontario ...

Ontario Chief Superintendent of Education - 1869 - 450 páginas
...between equal and equivalent triangles 1 3. If the straight line falling upon two other lines make the exterior angle equal to the interior and opposite upon the same side, &c. BI 28. 4. When is a problem said to be indeterminate ? •5. If the sides of a triangle be bisected,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 páginas
...same st. line are parallel to each other. DEM. — P. 29. If a st. line fall upon two parallel st. lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the int. and opp. angle upon the same side ; and likewise the two int. angles upon the same side together...
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