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" if a straight line," &c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 26
por Euclid - 1835 - 513 páginas
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Pure mathematics, Volumen1

Edward Atkins - 1874
...&c. QED Proposition 28. — Theorem. If a straight line falling upon two otlier straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make t/ie interior angles upon the same side together equal to two right angles, the...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 páginas
...&c. Q ED PROPOSITION 28.— 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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New Elementary Geometry, with Practical Applications

Benjamin Greenleaf - 1875 - 204 páginas
...alternate angles equal; also any exterior angle equal to the interior and opposite angle.; and the tiro 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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The Teachers' assistant and pupil teachers' guide, Volumen1

1876 - 400 páginas
...descent of Queen Victoria from James I. EUCLID. — 1. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...the same side together equal to two right angles. AB is parallel to CD, AD is bisected in E ; show that any other straight line drawn through E to meet...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...exterior angle at the base of the triangle. 2. If a straight line fall upon two parallel straight Hues, it makes the alternate angles equal to one another,...the same side; and likewise the two interior angles npon the same side together equal to two right angles. 3. Equal triangles upon equal bases in the same...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876 - 376 páginas
...0. ED PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles equal to one another, and alao the exterior angle equal to the interior...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 páginas
...&c. QED Proposition 28. — Theorem. Tf a straight line falling upon (wo 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 páginas
...It-XTX, THEOREM. , If a straight line fall upon two parallel straight lines, it makei the alter' nate angles equal to one another ; and the exterior angle equal to the interiorand opposite upon the same side ; and likewise the two interior angles upon ihe same tide together...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 páginas
...side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior and opposite upon the same tide. z T Let the st. line EF fall on the parallel st. lines AB, CD. Then must I. / s BGH, GHD together=two...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 458 páginas
...exterior angle equal to the interior and remote on the same side ; and the two interior an-- gles on the same side together equal to two right angles. Let the straight line EF intersect the yE two parallel lines AB, CD; the alternate \ .1, angles AGH, GHD are equal to each oth-...
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