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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 likewise the two interior angles upon the same side together... "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 100
by Euclides - 1858
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 336 pages
...alternate angles equal to one another; and the exterior angle equal to the interior and opposite vpon the same side; and likewise the two interior angles upon the same side together equal to two right angles. For if AGH be not equal to GHD, let KG be drawn making the angle KGH equal to GHD, and...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...siraight line fall upon two parallel straight lines, if makes the alternate angles equal to one another; the exterior angle equal to the interior and opposite angle upon the same side of the straight line ; and the two interior angles upon the same side of it together equal to two right...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...triangle are together greater than the third side. 5. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...makes the alternate angles equal to 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. 6. Parallelograms upon the same base, and between the same parallels, are equal to one...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...interior angles upon the same side together equal to two right angles. 3. PROP. XL VIII. — If the square described upon one t>f the sides of a triangle, be...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...interior angles upon the same side together equal to two right angles. 3. PROP. XL VII I. — It the square described upon one of the sides of a triangle, be...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...Extract the square root of -05368489. Euclid. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...same side; and likewise the two interior angles upon th same side together equal to two right angles. VOLUNTARY PORTION. 1. Divide a given line into two...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...straight line, from a given point in the same. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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 right...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...greater than the base of the other. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...interior angles upon the same side together equal to two right angles. PKOP. XL VIII. — If the square described upon one of the sides of a triangle, be equal...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...AB is parallel to CD. FHOPOSITION xxix, THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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...
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