 | Education - 1863 - 830 pages
...Dupleix ? Examination 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 - 152 pages
...&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 ;... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...AB is parallel (27. 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... | |
 | Insurance - 1853 - 394 pages
...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... | |
 | Euclides - Geometry - 1853 - 176 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 - 146 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; the... | |
 | Popular educator - 1852 - 1272 pages
...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... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...shall be less than 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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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... | |
 | 1858 - 398 pages
...that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines,...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to... | |
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Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'a straight line fall upon two parallel straight lines, it makes the alternate angles equal... 
