 | Education - 1850 - 488 pages
...interior opposite angles. SECTION II. 1. 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... | |
 | Education - 1851 - 502 pages
...be equal to each other, the -/ S &lso which subtend the equal angles shall be equal to each other. 2 "if a straight line fall upon two parallel straight lines, it makes the iternate angles equal to ear.h other: and the exterior angle equal to the "• -:— and opposite upon... | |
 | Education - 1863 - 830 pages
...of Dupleix ? Examination Returns, $r. ARITHMETIC AND ALGEBRA. Examiner. — RKV. KS MACDONALD, MA 1. If a straight line fall upon two parallel straight...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 - 48 pages
...therefore AB and c D are parallel. WWD PBOP. XXIX. TKEOE. If a right line fall upon two parallel right lines, it makes the alternate angles equal to one...another, and the exterior angle equal to the interior opposite angle at the same side ; and also the ttoo interior angles at the same side, equal to two... | |
 | 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
...therefore 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... | |
 | 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...side ; and likewise the two interior angles upon the same side together equal to two right angles. Discuss Euclid's twelfth axiom. Is it necessary that... | |
 | John Playfair - Geometry - 1855 - 334 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... | |
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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... 
