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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... "
Examination papers used at the examination of candidates for appointment to ...
των War office - 1861
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Parliamentary Papers, Τόμος 25

Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...of 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...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...

Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 3

1858 - 398 σελίδες
...of 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...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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 σελίδες
...equal. 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...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 σελίδες
...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...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 σελίδες
...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...

A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 σελίδες
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...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...

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

Euclides - 1860 - 288 σελίδες
...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...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 σελίδες
...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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 σελίδες
...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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