 | Euclid, Thomas Tate - 1849 - 120 pages
...straight line, &c. QED 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; the... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...intersecting two other straight lines, makes the alternate angles equal to each other, or makes an exterior angle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. intersects the two straight lines AB, / Let the straight... | |
 | Great Britain. Committee on Education - 1850 - 942 pages
...£20. 1. Define a parallelogram, — and what is meant by a line cut in extreme and mean ratio. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut into any two parts, the square... | |
 | 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... | |
 | 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... | |
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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... 
