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. Elements of Geometry and Conic Sections - Page 15by Elias Loomis - 1849 - 226 pagesFull view - About this book
| Euclides - Geometry - 1853 - 178 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...equal to two right angles, these two straight lines shall be in one and the same straight line. AT the point b in the straight line ab, let the two straight... | |
| 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...equal to two right angles, these tWo straight lines shall be in one and the same straight line. The angles A and C of a parallelogram ASCD are trisected... | |
| John Playfair - Geometry - 1855 - 334 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,... | |
| Euclides - 1855 - 262 pages
...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 - Conic sections - 1858 - 256 pages
...right angles ; for their sum is equal to that of the two adjacent angles BAD, DAF. B E PROPOSITION in. THEOREM (Converse of Prop. II.). If, at a point in...straight lines are in one and the same straight line. At the point B, in the straight line AB, let the two straight linos BC, BD, upon the opposite sides... | |
| W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...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...equal to two right angles, these two straight lines shall be in one and the same straight line. The 15th, Book I. If two straight lines cut one another,... | |
| Euclides - 1858 - 248 pages
...its sides equal, and its angles rt. angles. P. 14. If at a point in a st. line two other st. lines on the opposite sides of it make the adjacent angles together equal to two rt. angles, these two lines shall be in one and the same st. line. Ax. 1. Things equal to the same... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...equal to two right angles, (ax. 1.) Wherefore, when a straight line, &c. QED PROPOSITION XIV. THEOREM. If at a point in a straight line, two other straight...adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. At the point B in the straight... | |
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