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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 - Pagina 37
di Great Britain. Admiralty - 1846
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pagine
...whole 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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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...base of 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...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 two...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...and they are alternate angles ; therefore (I. 27) AB is parallel to CD. FHOPOSITION 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 examination papers as set for the preliminary literary examination of ...

...given point without it. 4. Any two sides of a triangle are together greater than the / third side. 5. 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 saine side together equal to two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 pagine
...therefore AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QED PKOPOSITION 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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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...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...the same side together equal to two right angles. 2. Draw a straight line from a given point without the circumference which shall touch a given circle....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pagine
...EUCLID. 1. Define parallel straight lines; state Euclid's 12th axiom. . If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle on the same side, and likewise the two...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...— Therefore, if a straight line, &c. QED PROPOSITION 29.-THEOREM. If a straight line fall upon tin parallel straight lines, it makes the alternate angles...exterior angle equal to the interior and opposite upon the same side; and also the two interior angles upon the same side together equal to two right...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...alternate angles equal to each other ; and the exterior angle equal to the interior and opposite angle upon the same side; and likewise the two interior angles...the same side together equal to two right angles. (References — Prop. i. 13, 15; ax. l. 2, 4, 12.) Let the right line EF, fall on the parallel lines...
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Responsions

University of Oxford - 1863
...from the opposite angle. 3. Describe an equilateral triangle upon a given finite straight line. 4. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side ; and also the two interior angles on the same side together equal to two right...
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