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" Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal... "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Strona 26
autor: Euclides - 1845
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The English Journal of Education, Tom 5

1851 - Liczba stron: 502
...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 Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - Liczba stron: 48
...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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General Report on Public Instruction in the Bengal Presidency

1863 - Liczba stron: 830
...Dupleix ? Examination Returns, $r. ARITHMETIC AND ALGEBRA. Examiner. — RKV. KS MACDONALD, MA 1. If a straight line fall upon two parallel straight lines,...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 first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - Liczba stron: 152
...&c. QED BOOK I. PROP. XXVIII. THEOR. 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 ;...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - Liczba stron: 400
...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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The Assurance Magazine, and Journal of the Institute of Actuaries, Tom 3

1853 - Liczba stron: 394
...to one another; (2) the exterior angle equal to the interior and remote upon the same side; and (3) the two interior angles upon the same side together equal to two right angles. 30. Draw through a given point between two straight lines not parallel a straight line which shall...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - Liczba stron: 176
...PROPOSITION XXVIII. — THEOREM. If a. straight line failing upon two otJier straigJit 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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - Liczba stron: 146
...line, &c. QED PROP. 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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The popular educator, Tom 4;Tom 7

Popular educator - 1852 - Liczba stron: 1272
...point without it. 6. If a straight line fall upon two parallel straight lines, show that it will make the alternate angles equal to one another ; and the...the same side together equal to two right angles. Discuss Euclid's twelfth axiom. Is it necessary that some positive property of parallel lines should...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - Liczba stron: 334
...a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall vpon two parallel straight lines, it makes the alternate...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...
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