| Elias Loomis - Conic sections - 1849 - 252 pages
...equal to that of the two adjacent angles BAD, DAF. PROPOSITION HI. THEOREM (Converse of Prop. II.). **If, at a point in a straight line, two other straight...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... | |
| Euclides - 1852 - 152 pages
...of it, make the adjacent angles tot/ether equal to two right angles, these two straight lines sliall **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 the adjacent... | |
| Popular educator - 1852 - 848 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
...equal to two right angles. Wherefore, the angles which one straight line, &c. QED PROP. XIV. THEOREM. **If at a point in a straight line, two other straight...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 the adjacent... | |
| Euclides - 1853 - 176 pages
...line, &c. 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...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, make the adjacent... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...together equal to two right angles. Wherefore, when a straight line, etc. QED PROPOSITION XIV. THEOR. **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, these two straight lines shall... | |
| Euclides - Geometry - 1853 - 334 pages
...right angles, or are together equal to two right angles. Which was to be proved. PEOP. XIV. THEOE. **If at a point in a straight line, two other straight lines,** on the opposite sides of it, make with it the adjacent angles together equal to two right angles: then... | |
| Robert Potts - 1855 - 1050 pages
...the squares on AC, AS, furthest removed from point A; shew that F, A, K, are in one straight line. 2. **If, at a point in a straight line, two other straight...lines shall be in one and the same straight line.** The angles A and C of a parallelogram ASCD are trisected and the angles S and D are bisected. The bisector... | |
| John Playfair - Geometry - 1855 - 336 pages
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. **If, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, these** ttOo straight lines are in one and the same straight line. At the point B in the straight line AB,... | |
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