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" If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 22
by Euclides - 1834
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...the same side of the line, or makes the interior angles on the same side of the line equal together to two right angles ; the two straight lines shall be parallel to one another. not pass through its centre, and the other straight line touches the circle, the rectangle contained...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...the 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 angles. 2. Draw a straight line from a given point without the circumference which shall touch a given circle....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...to CD. Wherefore, if a straight line, &c. QED PROP. XXVIII.— THEOREM. If a straight line falling upon two other straight lines, make the exterior angle...the same side, together equal to two right angles ; then the two straight lines shall be parallel to one another. (References — Prop. 1. 13, 15, 27...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 28.— THEOREM. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the tame side of the line, or make the interior angles upon the same fide together equal to two right angles,...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 490 pages
...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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 490 pages
...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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Responsions

University of Oxford - Education, Higher - 1863
...Describe a square that shall be equal to a given rectilineal figure. 9. If a straight line falling on two other straight lines make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 320 pages
...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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...CD. Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle...to two right angles ; the two straight lines shall oe parallel to o><e another. Let the straight line EF, which falls upon the two straight lines AB,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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 lihewise the two interior angles upon the same side together equal to two right angles. Let the...
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