| Euclides - 1853 - 176 σελίδες
...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...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 angles ab С,... | |
| Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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 - 1853 - 334 σελίδες
...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... | |
| Euclid, John Playfair - 1853 - 336 σελίδες
...sides of it, make the adjacent angles together equal to two right angles, these two straight lines are in one and the same, straight line. At the point B in tlie straight line AB, let the two straight lines BC, BD upon lhe opposite sides of AB, make the adjacent... | |
| Robert Potts - 1855 - 1050 σελίδες
...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 - 1855 - 334 σελίδες
...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,... | |
| Euclides - 1855 - 270 σελίδες
...added to this proposition by Euclid, are included in those now added to Prop. XIII. Exercise 1. — If at a point in a straight line two other straight lines meet upon the opposite sides of it, and make the vertical or opposite angles equal, these two straight... | |
| Elias Loomis - 1857 - 242 σελίδες
...sides of it, make the adjacent angles together equal to two right angles, these two straight lines are in one and the same straight line. At the point B, in the straight line AB, let the two straight linns BC, BD, upon the opposite sides of AB, make the adjacent angles, ABC,... | |
| W. Davis Haskoll - 1858 - 422 σελίδες
...side of it, are either two right angles, or are together equal to two right angles. The 14th, Book I. If at a point in a straight line, two other straight...lines shall be in one and the same straight line. The 15th, Book I. If two straight lines cut one another, the vertical or opposite angles shall be equal.... | |
| Elias Loomis - 1858 - 256 σελίδες
...equal to that of the two adjacent angles BAD, DAF. B E PROPOSITION in. 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. At the point B, in the straight line AB, let the two straight... | |
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