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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 also the two interior angles upon the same side together equal... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 26
by Robert Simson - 1827 - 513 pages
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...Voluntary Paper, No, II. REV. CANON HEAVISIDE, MA 1. State Euclid's 12th axiom. If a straight line fall upon two parallel straight lines, it makes the alternate...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 pages
...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 pages
...— 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 - Geometry - 1862 - 532 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 intersect the parallel lines А В, С D ; the alternate angles AGH, GHD are equal ; the exterior angle...
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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 AGH, GHD Vj ____—•• — * are...
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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 AGH, GHD V, _„_. L are equal...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...line, &c. QED PROP. 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 ; then...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...angle. 3. Describe an equilateral triangle upon a given finite straight line. 4. If a straight line fall upon two parallel straight lines, it makes the alternate...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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 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- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHBV —" L are equal ; the...
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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 to the interior and opposite angle upon the same side ; and lihewise the two interior angles upon the same •tide together equal...
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