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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... "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 100
by Euclides - 1858
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...straight line, &c. QED PKOPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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 pages
...triangle are 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...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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Examination papers used at the examination of candidates for appointment to ...

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

War office - 1861 - 714 pages
...there ? EUCLID. 1. Define parallel straight lines. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to 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...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...line fall upon two parallel straight lines, then it makes the alternate angles equal to each other ; and the exterior angle equal to the interior and opposite...interior angles upon 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...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...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...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 Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...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...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles....
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...the 27th, and the 2Sth.) If a line fall upon two parallel st. lines, it mahes the alternate angle* equal to one another ; and the exterior angle equal...interior and opposite angle upon the same side ; and lihewise the two interior angles upon the same •tide together equal to two rt. angles. DEM.— Ax....
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