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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... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 26
by Robert Simson - 1827 - 513 pages
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Pure mathematics, Volume 1

Edward Atkins - 1874
...27). Therefore, if a straight line, <fec. QE 2). Proposition 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate...the interior and opposite upon the same side; and also the two interior angles upon the same side together equal to two right angles. Let the straight...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...parallel to one another. PROPOSITION 29. THEOREM. If a straight line fall on two parallel straif/ht lines, it makes the alternate angles equal to one...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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New Elementary Geometry with Practical Applications

Benjamin Greenleaf - Geometry - 1874 - 176 pages
...makes 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, GHD are \G equal ; the exterior...
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Pure mathematics, Volume 1

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
...&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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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...Hence Propositions XXI. and XXII. are established as follows: PROPOSITION XXL If a straight line meets two parallel straight lines it makes the alternate angles equal to one another. Let the straight line FG meet the two || straight lines AB, CD, then shall L AFG = the alternate L...
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New Elementary Geometry, with Practical Applications

Benjamin Greenleaf - Geometry - 1875 - 176 pages
...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, Volume 1

1876
...of them. 3. Trace the descent of Queen Victoria from James I. EUCLID. — 1. If a straight line fall upon two parallel straight lines, it makes the alternate...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 ...

Euclides, James Hamblin Smith - Geometry - 1876 - 349 pages
...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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