| 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... | |
| 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
...other ; the 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...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... | |
| 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... | |
| 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 - 332 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... | |
| 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...exterior angle equal to the interior and opposite angle** on the same side, and likewise the two interior angles upon the same side together equal to two right... | |
| 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 - 172 pages
...line fall upon two parallel straight lines, then it makes the alternate angles equal to each other ; **and the exterior angle equal to the interior and opposite...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... | |
| 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... | |
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