If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. Euclid - Page 31by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| Euclides - 1877 - 58 pages
...D, and the angle BAD be bisected by AF ; shew that EAF is a right angle. PROPOSITION XIV. THEOREM. **If at a point in a straight line two other straight lines** upon the opposite sides of it make the adjacent angles togetlier equal to two right angles, these two... | |
| Joseph Wollman - 1879 - 120 pages
...point draw a straight line which shall make equal angles with two straight lines given in position. 31. **If at a point in a straight line two other straight...lines shall be in one and the same straight line.** In what propositions in the First Book is this proposition required ? 32. If two exterior angles of... | |
| Euclides - 1879 - 146 pages
...angle. PROPOSITION XIV. THEOREM. If at a feint in a straight line, two other straight lines, on the **opposite sides of it, make the adjacent angles together...shall be in one and the same straight line. At the** pt. B in the st. line AB, let the two st. lines BC, BD on the opposite sides of AB, make the adj. £_... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...ABE-R+ABE, and ABD = EBD -ABE=R- ABE. .•. (Ax. 2)ABC+ABD = 2R g BD Proposition 16. Theorem.—If **at a point in a straight line, two other straight...on opposite sides of it, make the adjacent angles** equal to two right angles, these two lines are in the same straight line. two right angles; then will... | |
| Moffatt and Paige - 1879 - 426 pages
...two right angles. Therefore, the angles which one straight line, etc. QED Proposition XIV. Theorem. **If, at a point in a straight line, two other straight lines,** upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...of the bisections of the interior and exterior angles at the base are in the same straight line. 14. **If at a point in a straight line two other straight lines,** upon the opposite side of it, make the adjacent angles together equal to two right angles ; then these... | |
| Bombay city, univ - 1880 - 750 pages
...quadrilateral form a parallelogram. 2. If, at a point in a straight linn, two other straight 10 lines on the **opposite sides of it make the adjacent angles together...lines shall be in one and the same straight line.** ABCD is a parallelogram whose diagonals meet in O. Show that if the parallelograms AOBP, DOCQbe completed,... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...F BC K. H And because at the point H in the straight line GH, the two straight lines KH, HM, on the **opposite sides of it, make the adjacent angles together equal to two right angles,** KH is in the same straight line with HM. [I. 14. And because the straight line HG meets the parallels... | |
| T S. Taylor - 1880 - 152 pages
...(Euclid I. 14). Repeat. — The enunciation of Euc. I. 13 and Axioms 3<z and n. General Enunciation. **If, at a point in a straight line, two other straight lines, on** the opposite sides of it, make the adjacent angles together equal to two right angles, those two straight... | |
| Oxford univ, local exams - 1880 - 394 pages
...superficies, a square, a parallelogram. What is Euclid's axiom about lines which will meet when produced ? 2. **If at a point in a straight line two other straight lines, on** the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight... | |
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