 | William Somerville Orr - Science - 1854 - 534 pages
...straight lines (AB, CD) male the exterior angle (EGB) equal to the interior and opposite angle (GHD) upon the same side of the line; or make the interior angles (BGH, GHD) upon the same side together equal to tico right angles; the two straight lines (AB, CD)... | |
 | Euclides - 1855 - 270 pages
...these two straight lines are parallel. PROP. XXVm. THEOREM. If a straight line faUing upon two oiher straight lines, make the exterior angle equal to the interior and opposite angle upon the same side of the straight line ; or make the two interior angles upon the same side... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...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 equal to two right angles. If two... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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 equal to two right angles. 6. If a parallelogram and a triangle be upon the same base, and between the same parallels : the parallelogram... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...two other straight lines, makes Che alternate angles equal to each other, or makes an exterior tngle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. Let the straight line EF, which E intersects the two straight... | |
 | 1858 - 398 pages
...the 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 two right angles. 3. PROP. XL VIII. — If the square described upon one t>f the sides of a triangle, be equal to the... | |
 | Euclides - 1860 - 288 pages
...parallel to CD. PROPOSITION XXTHI. THEOREM. 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 two straight lines... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 equal to two right angles. Let the... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...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 saine side together equal to two right angles. 6. Parallelograms... | |
 | Civil service - 366 pages
...the 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 two right angles. PKOP. XL VIII. — If the square described upon one of the sides of a triangle, be equal to the squares... | |
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If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... 
