| Great Britain. Committee on Education - School buildings - 1847 - 606 pages
...ALGEBRA. SECTION I. Prove that, 1. If at a point in a given straight line two other straight lines on the opposite sides of it make the adjacent angles...equal to two right angles, these two straight lines shall be in one and the same straight line. 2. Any two sides of a triangle are together greater than... | |
| Euclides - 1848 - 52 pages
...of it, are either two right angles, or are together equal to two right angles. PROP. XIV. THEOREM. 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. PROP. XV. THEOREM. EUCLID S ELEMENTS. COR. 1. From this... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...two right angles; for their sum is equal to that of the two adjacent angles BAD, DAF. PROPOSITION HI. THEOREM (Converse of Prop. II.). If, at a point in...straight lines are in one and the same straight line. then will BD be in the same straight line with CB. For, if BD is not in the same straight line with... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...are together equal to two right angles. Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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. At the point B in the straight line AB, let the two straight... | |
| 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 - 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...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... | |
| Euclides - Geometry - 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...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... | |
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