 | Scottish school-book assoc - 1845 - 444 σελίδες
.../.AGH is = the /GHD, and also to the /EGB (Prop. 3), the /EGB is = the /GHD, .-. the exterior is tqual to the interior opposite angle on the same side of the line. and BGH be = the two is BGH and GIID ; but the two ._« EGB and BGH are together = two t'Ls (Prop.... | |
 | Theophilus Parsons - 1861 - 500 σελίδες
...demonstrate, that a right line, intersecting two parallel right lines, makes the alternate angles equal, — the exterior angle equal to the interior opposite angle on the same side of the intersecting line, — and that the interior angles on the same side of the intersecting line, taken... | |
 | Euclides - 1865 - 80 σελίδες
...parallel to BC. PROPOSITION XXXIV. THEOR. If a straight line, intersecting two other straight lines makes the exterior angle equal to the interior opposite angle on the same side of the line ; or makes the interior angles on the same side together equal to two right angles, the two straight... | |
 | Horatio Nelson Robinson - 1865 - 474 σελίδες
...2 R. [_, (Th. 5); [_AGF + [_AGH = [ and [_AGF = [_ CEG, (Ax. 3). ** That is, the exterior angle is equal to the interior opposite angle on the same side of the intersecting line. Cor. 2. Since [_AGH = [_FGB, and [_AGH =\^_CSE; Therefore, [_FGB = [_CHE. In the... | |
 | Horatio Nelson Robinson - 1869 - 276 σελίδες
...[_AGF + [_AGH = [_ CHG + [_AGH, (Ax. 1); and [_AGF = L CHG, (Ax. 3). That is, the exterior angle is equal to the interior opposite angle on the same side of the intersecting line. Cor. 2. Since [_AGH = [_FGB, and [_AGH= [_CHE; Therefore, [_FGB =[_CHE. In the same... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...to each other. (Ax. I.) 2. If a right line intersect two parallel right lines, the exterior angle is equal to the interior opposite angle on the same side of the intersecting line. (I. 29.) 3. The opposite sides of a parallelogram are equal to each other. (I. 34.)... | |
 | Julius Petersen - 1880 - 86 σελίδες
...two other straight lines and makes the exterior angle equal to the interior, opposite angle, y For as on the same side of the line (as x and y], the two...equal, they will be equal for all straight lines. • = « + *') (, 9 ) then z = w, when x = y. 32. At each of the points of intersection there are four... | |
 | Euclides - 1884 - 434 σελίδες
...is a ||m. PROPOSITION 28. THEOREM. If a straight line cutting two other straight lines make (1) an exterior angle equal to the interior opposite angle on the same side of the cutting line, or (2) the two interior angles on the same side of the cutting line together equal to... | |
 | Lewis Carroll - 1885 - 318 σελίδες
...of Lines make, with a certain transversal, either («) a pair of alternate angles equal, or (I/) an exterior angle equal to the interior opposite angle on the same side of the transversal, or (<;) a pair of interior angles on the same side of the transversal supplementary ;... | |
 | James Andrew Blaikie, William Thomson - 1891 - 160 σελίδες
...a straight line cut two parallel straight lines, it shall make the alternate angles equal, and any exterior angle equal to the interior opposite angle on the same side of the cutting line, and the two interior angles on the same side of the cutting line together equal to two... | |
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If a straight line, fatting on two other straight lines, make an exterior angle equal to the interior opposite angle on the same side of the... 
