 | Euclides - 1848 - 52 pages
...be parallel. 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... | |
 | 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... | |
 | 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
...straight line fall upon two parallel straight lines, it makes the alternate angles equal to each other: and the exterior angle equal to the interior and opposite upon the same side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In a right-angled... | |
 | 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 ;... | |
 | Euclides - 1852 - 48 pages
...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... | |
 | 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...etc. QED PROPOSITION 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... | |
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Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alter' male angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and... 
