 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...  The Elements of Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
 | 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... | |
 | Civil service - 366 pages
...base 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...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... | |
 | 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...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... | |
 | Royal college of surgeons of England - 1860 - 336 pages
...given point without it. 4. Any two sides of a triangle are together greater than the / third side. 5. If a straight line fall upon two parallel straight...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...therefore AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QED PKOPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight...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... | |
 | War office - 1861 - 260 pages
...coefficient. MATHEMATICS. Voluntary Paper, No, II. REV. CANON HEAVISIDE, MA 1. State Euclid's 12th axiom. If a straight line fall upon two parallel straight...the same side together equal to two right angles. 2. Draw a straight line from a given point without the circumference which shall touch a given circle.... | |
 | War office - 1861 - 714 pages
...EUCLID. 1. Define parallel straight lines; state Euclid's 12th axiom. . If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle on the same side, and likewise the two... | |
 | Euclides - 1862 - 140 pages
...— Therefore, if a straight line, &c. QED PROPOSITION 29.-THEOREM. If a straight line fall upon tin parallel straight lines, it makes the alternate angles...exterior angle equal to the interior and opposite upon the same side; and also the two interior angles upon the same side together equal to two right... | |
 | Euclides - 1862 - 172 pages
...alternate angles equal to each other ; and the exterior angle equal to the interior and opposite angle upon the same side; and likewise the two interior angles...the same side together equal to two right angles. (References — Prop. i. 13, 15; ax. l. 2, 4, 12.) Let the right line EF, fall on the parallel lines... | |
 | University of Oxford - Education, Higher - 1863 - 328 pages
...from the opposite angle. 3. Describe an equilateral triangle upon a given finite straight line. 4. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side ; and also the two interior angles on the same side together equal to two right... | |
| |
