 | Cambridge univ, exam. papers - 1856 - 200 pages
...these 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... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 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... | |
 | War office - 1858 - 578 pages
...How will the two straight lines cut each other when all the four vertical angles are equal ? 2. If a 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 angle on the same side, and likewise... | |
 | Euclides - 1858 - 248 pages
...line are parallel to each other. DEMONSTRATION. — P. 29. If a st. line fall upon two parallel st. lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the.int. and opp. angle upon the same side ; and likewise the two int. angles upon the same side together... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...exterior angle equal to the interior and opposite on the same side ; and the two interior angles on the same side together equal to two right angles. Let the straight line EF intersect E the two parallel lines AB, CD ; the \ alternate angles AGH, GHD are \Ct__---- equal to... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...whole sum received would have been 25 shillings less than it was : what did he receive ? Euclid. 1. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal, and the exterior angle equal to the interior and opposite angle on the same side, and the two interior... | |
 | Euclides - 1860 - 288 pages
...and they are alternate angles ; therefore (I. 27) AB is parallel to CD. FHOPOSITION xxix, THEOREM. If a straight line fall upon two parallel straight lines,...the same side together equal to two right angles. Given the straight line EF falling upon the parallel straight lines AB, CD ; to prove that the alternate... | |
 | Civil service - 366 pages
...of that which has the greater angle, shall be greater than the base of the other. 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 PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal... 
