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
| Euclides - 1847 - 128 pages
...is || to CD. (Prop. XXVII.) Wherefore, if a st. line, &c.— QED PROP. XXIX. THEOR. GEN. ENUN. — **If a straight line fall upon two parallel straight...alternate angles equal to one another; and the exterior** equal to the interior and opposite angle upon the same side ; and likewise the two interior angles... | |
| 1846 - 648 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) **if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another** ;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse CB must always... | |
| Euclid - 1848 - 52 pages
...to two right angles ; the two straight lines shall be parallel to one another. PROP. 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... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...angles; therefore AB is parallel to CD (i.27.). Wherefore if a straight line, &c. QED PROP. XXIX. THEOR. **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 egual to two right... | |
| Great Britain. Committee on Education - 1850 - 914 pages
...£20. 1. Define a parallelogram, — and what is meant by a line cut in extreme and mean ratio. 2. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal.** — Define parallel lines, and alternate angles. 3. If a line be cut into any two parts, the square... | |
| Education - 1851 - 502 pages
...be equal to each other, the -/ S &lso which subtend the equal angles shall be equal to each other. 2 **"if a straight line fall upon two parallel straight lines, it makes the** iternate angles equal to ear.h other: and the exterior angle equal to the "• -:— and opposite upon... | |
| Euclides - 1852 - 152 pages
...angle GHD ; and they are alternate angles ; therefore AB is parallel to CD. BOOK I. PEOP. XXIX. THEOR. **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 right... | |
| Education - 1863 - 818 pages
...of Dupleix ? Examination Returns, $r. ARITHMETIC AND ALGEBRA. Examiner. — RKV. KS MACDONALD, MA 1. **If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another.** Trisect (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a... | |
| Euclides - 1852 - 48 pages
...therefore AB and c D are 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore AB is parallel (27. i.) to CD. Wherefore, if a straight line, etc. QED PROPOSITION XXIX. THEOR. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one** anotker ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise... | |
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