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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... "
Elements of geometry, containing the first two (third and fourth) books of ... - Página 48
por Euclides - 1871
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 páginas
...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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 286 páginas
...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...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 - 366 páginas
...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 páginas
...&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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 páginas
...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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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 páginas
...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...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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 páginas
...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 - 140 páginas
...— 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...the interior and opposite upon the same side; and also the two interior angles upon the same side together equal to two right angles. (References—...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 624 páginas
...the alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EP inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 524 páginas
...the alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD...
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