 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, books i. & ii., with notes, examples, and explanations, by a late ... - Page 32by Euclides - 1879Full view - About this book
 | Great Britain. Committee on Education - School buildings - 1847 - 606 pages
...also which subtend or are opposite to the equal angles shall be equal. 2. If at a point in a given straight line two other straight lines on the opposite...lines shall be in one and the same straight line. 3. Equal triangles on the same base and on the same side of it are between the same parallels. SECTION... | |
 | Great Britain. Committee on Education - Education - 1847 - 624 pages
...sphere of the same diameter? GEOMETRY AND ALGEBRA. Section I. Prove that, 1. If at a point in a given straight line two other straight lines on the opposite...lines shall be in one and the same straight line. 2. Any two sides of a triangle are together greater than the third side. Section II. 1. To divide a... | |
 | Euclides - 1847 - 128 pages
...PROP. XIV. THEOR. GEN. ENUN. — If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...lines shall be in one and the same straight line. PART. ENUN. — At the pt. A. B in the st. line AB, let the two st. lines BC, BD make the adjacent... | |
 | Euclides - 1848 - 52 pages
...right angles. PROP. XIV. THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...lines shall be in one and the same straight line. PROP. XV. THEOREM. EUCLID S ELEMENTS. COR. 1. From this it is manifest, that, if two straight lines... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...straight line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...shall be in one and the same straight line. At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides of AB, make... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...equal to two right angles, these two straight lines are in one and the same straight line. then will BD be in the same straight line with CB. For, if BD... | |
 | Education - 1851 - 502 pages
...SECTION I.—1. If at a point in a 'given straight line, two other straight lines on the opposite side of it make the adjacent angles together equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe a segment... | |
 | Popular educator - 1852 - 842 pages
...<.••»<//'•» on op/write tidet of it, or the two angles on the tame tick, of it. either two right angles, or together equal to two right angles, these two straight lines shall be either in' the same ttraight line, or shall coincide with each other. It will be a useful exercise... | |
 | Euclides - 1853 - 146 pages
...line, &c. QED PROP. XIV. THEOREM. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...shall be in one and the same straight line. At the point B, in the straight line AB, let the two straight lines BC, BD, upon the opposite sides of AB,... | |
 | Euclides - Geometry - 1853 - 176 pages
...QED PROPOSITION XIV. — THEOREM. If , at a point in a straight line, two other straiglit lines, upon the opposite sides of it, make the adjacent angles...shall be in one and the same straight line. AT the point b in the straight line ab, let the two straight lines bС, bd upon the opposite sides of ab,... | |
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