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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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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858
...greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858
...greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...line are parallel to each other. DEMONSTRATION. — 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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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 234 pages
...exterior angle equal to the interior and opposite on the same side ; and the two interior angles on the same side together equal to two right angles. Let the straight line EF intersect E the two parallel lines AB, CD ; the \ alternate angles AGH, GHD are \Ct__---- equal to...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...straight lines cut each other when all the four vertical angles are equal ? 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to each other, and the exterior angle equal to the interior and opposite angle on the same side, and likewise...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...at right angles to a given straight line, from a given point in the same. 2. If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle on the same side; and likewise the two interior angles on the same side together equal to two...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...angles ; therefore (I. 27) AB is parallel to CD. FHOPOSITION xxix, THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate...the same side together equal to two right angles. Given the straight line EF falling upon the parallel straight lines AB, CD ; to prove that the alternate...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...greater angle, shall be greater than the base of the other. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...triangle is opposite the greater angle. 4. If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line, or makes 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 - Geometry, Plane - 1860 - 361 pages
...&c. QEI). 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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