| Education - 1863
...Returns, $r. ARITHMETIC AND ALGEBRA. Examiner. — RKV. KS MACDONALD, MA 1. If a straight line fall **upon two parallel straight lines, it makes the alternate angles equal to one another.** Trisect (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a... | |
| Euclides - 1852
...&c. QED BOOK I. PROP. XXVIII. THEOR. 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 ;... | |
| Insurance - 1853
...to one another; (2) the exterior angle equal to the interior and remote upon the same side; and (3) **the two interior angles upon the same side together equal to two right angles.** 30. Draw through a given point between two straight lines not parallel a straight line which shall... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...i.) to CD. Wherefore, if a straight line, etc. QED PROPOSITION XXIX. THEOR. If a straight line fall **upon two parallel straight lines, it makes the alternate angles equal to one** anotker ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise... | |
| Euclides - Geometry - 1853 - 147 pages
...PROPOSITION XXVIII. — THEOREM. If a. straight line failing upon two otJier straigJit 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... | |
| Euclides - 1853
...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; the... | |
| Popular educator - 1852
...point without it. 6. If a straight line fall upon two parallel straight lines, show that it will make **the alternate angles equal to one another ; and the...the same side together equal to two right angles.** Discuss Euclid's twelfth axiom. Is it necessary that some positive property of parallel lines should... | |
| John Playfair - Geometry - 1855 - 318 pages
...a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall vpon **two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** vpon the same side; and likewise the two interior angles upon the same side together equal to two right... | |
| Cambridge univ, exam. papers - 1856
...triangle, but shall contain a greater angle. •1. If a right line falling upon two other right 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... | |
| Cambridge univ, exam. papers - 1856
...the other two aides of the triangle, but shall contain a greater angle. 5. If a straight line fall **upon two parallel straight lines, it makes the alternate angles equal to** another; and the exterior angle equal to the interior and opposite upon the same side; and likewise... | |
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