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" Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'a straight line fall upon two parallel straight lines, it makes the alternate angles equal... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Strona 46
autor: John Playfair - 1836 - Liczba stron: 311
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Parliamentary Papers, Tom 25

Great Britain. Parliament. House of Commons - 1858 - Liczba stron: 694
...that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines,...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 - Liczba stron: 248
...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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - Liczba stron: 578
...How will the two 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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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - Liczba stron: 256
...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 admission to the Royal ...

Sandhurst roy. military coll - 1859 - Liczba stron: 672
...sum received would have been 25 shillings less than it was : what did he receive ? Euclid. 1. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal, and the exterior angle equal to the interior and opposite angle on the same side, and the two interior...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - Liczba stron: 288
...they are alternate angles ; therefore (I. 27) AB is parallel to CD. FHOPOSITION xxix, THEOREM. If a straight line fall upon two parallel straight lines,...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 - Liczba stron: 366
...that which has the greater angle, shall be greater than the base of the other. PROP. XXIX. — If a straight line fall upon two parallel straight lines,...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 - Liczba stron: 332
...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 - 1860 - Liczba stron: 380
...&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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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - Liczba stron: 260
...coefficient. MATHEMATICS. Voluntary Paper, No, II. REV. CANON HEAVISIDE, MA 1. State Euclid's 12th axiom. If a straight line fall upon two parallel straight lines,...exterior angle equal to the interior and opposite angle on the same side, and likewise the two interior angles upon the same side together equal to two...
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