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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 Euclid for the Use of Schools and Colleges: Comprising the ... - Seite 34
von Euclid, Isaac Todhunter - 1867 - 400 Seiten
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 Seiten
...line, &c. QED PKOPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another;...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 ...

Royal college of surgeons of England - 1860 - 332 Seiten
...together greater than the / third side. 5. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...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 plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 Seiten
...parallel to CD. FHOPOSITION xxix, THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...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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Elements of Geometry and Conic Sections

Elias Loomis - 1860 - 246 Seiten
...equal to each other; also, any 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. the two parallel lines AB, CD; the \ Let the straight line EF intersect ^ alternate angles AGH, GHD...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 Seiten
...HEAVISIDE, MA 1. State Euclid's 12th axiom. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another,...interior and opposite angle on the same side, and likewise the two interior angles upon the same side together equal to two right angles. 2. Draw a straight...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 Seiten
...EUCLID. 1. Define parallel straight lines. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another,...the interior and opposite angle on the same side. 2. Describe a square that shall be equal to a given rectilineal figure. 3. In equal circles equal circumferences...
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Elements of Geometry and Conic Sections

Elias Loomis - 1861 - 254 Seiten
...lines, &c. PROPOSITION XXI. THECREM. If a straight line, meeting two other straight lines, makes the interior angles .on the same side, together equal to two right angles, the two lines are parallel. Let the straight line AB, which AE - '.', ^ ., 1 1 O meets the two straight...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 Seiten
...straight line, &c. QED PROPOSITION 29.-THEOREM. If a straight line fall upon tin parallel straight lines, it makes the alternate angles equal to one another,...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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 Seiten
...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 V, _„_. L are equal...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 Seiten
...other straight lines, makes any exterior angle equal to the interior and opposite angle, or makes the interior angles on the same side together equal to two right angles, the two lines are parallel. Let the straight line EF inter- E sect the two straight lines AB, \ CD,...
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