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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... "
The Elements of Geometry, Symbolically Arranged - Page 37
by Great Britain. Admiralty - 1846
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...is || to CD. (Prop. XXVII.) Wherefore, if a st. line, &c.— QED PROP. XXIX. THEOR. GEN. ENUN. — If a straight line fall upon two parallel straight...alternate angles equal to one another; and the exterior equal to the interior and opposite angle upon the same side ; and likewise the two interior angles...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 45

1846 - 648 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another ;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse CB must always...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclid - 1848 - 52 pages
...to two right angles ; the two straight lines shall be parallel to one another. PROP. XXIX. THEOREM. If a straight line fall upon two parallel straight...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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angles; therefore AB is parallel to CD (i.27.). Wherefore if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together egual to two right...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 914 pages
...20. 1. Define a parallelogram, — and what is meant by a line cut in extreme and mean ratio. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut into any two parts, the square...
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The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...be equal to each other, the -/ S &lso which subtend the equal angles shall be equal to each other. 2 "if a straight line fall upon two parallel straight lines, it makes the iternate angles equal to ear.h other: and the exterior angle equal to the "• -:— and opposite upon...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...angle GHD ; and they are alternate angles ; therefore AB is parallel to CD. BOOK I. PEOP. XXIX. THEOR. If a straight line fall upon two parallel straight...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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General Report on Public Instruction in the Bengal Presidency

Education - 1863 - 818 pages
...of Dupleix ? Examination Returns, $r. ARITHMETIC AND ALGEBRA. Examiner. — RKV. KS MACDONALD, MA 1. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. Trisect (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...therefore AB and c D are parallel. WWD PBOP. XXIX. TKEOE. If a right line fall upon two parallel right lines, it makes the alternate angles equal to one...another, and the exterior angle equal to the interior opposite angle at the same side ; and also the ttoo interior angles at the same side, equal to two...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore AB is parallel (27. i.) to CD. Wherefore, if a straight line, etc. QED PROPOSITION XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one anotker ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise...
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