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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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First Practical Lines of Geometrical Drawing ...

J F H. De Rheims - 1865
...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 equal to two right angles. Prop....
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...upon two parallel straight lines, it makes — a. The alternate angles equal to one another . . .* A. The exterior angle equal to the interior and opposite upon the same side . . . . . . I I. 29. c. And the two interior angles upon the same side together together equal to two...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 pagina’s
...PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior an gle equal to the interior and opposite upon the same side of the Itnt; or makes the interior angles upon the same side together equal to two right angles ; the two...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 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. Let the straight line EF, which falls on the two straight lines AB,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 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. Let the straight line EF, which falls on the two straight lines AB,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pagina’s
...&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...equal to two right angles ; the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon the two straight lines...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 320 pagina’s
...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...
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Annual Report of the Normal, Model, Grammar, and Common Schools in Ontario ...

Ontario Chief Superintendent of Education - 1869
...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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Elements of geometry, containing the first two (third and fourth ..., Deel 1

Euclides - 1871
...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 equal to two right angles. T Let the...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 pagina’s
...two other straight lines, makei 'he alternate angles equal to each other, or makes an exterior źngle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. Let the straight line EF, which j. mtersects the two straight...
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