 | 1881
...If, at a point in a straight line, two other straight lines upon opposite sides of it make the two adjacent angles together equal to two right angles, these two straight lines must be in one and the same straight line. After proving this, define every geometrical figure you... | |
 | 1882
...3. If two triangles have their three sides equal each to each, they are equal in every respect. 4. If at a point in a straight line two other straight lines upon opposite sides of it make the adjacent angles together equal to two right angles, then these two straight... | |
 | College of preceptors - 1882
...lines, parallelogram, angle in segment of a circle, rectilinear figure described about a circle. 2. If at a point in a straight line two other straight lines on the opposite sides of it m;ike the adjacent angles together equal to two right angles, these two... | |
 | Isaac Sharpless - 1882 - 266 sider
...+ABE=R+ABE, and ABD = EBD ~ABE=R- ABE. .-. (Ax. 2) ABC+ABD = 2R. 5 BD E Proposition 16. Theorem. — If at a point in a straight line, two other straight lines on opposite sides of it, make the adjacent angles equal to two right angles, these two lines are in... | |
 | Marianne Nops - 1882
...DBA, ABC = Z. s CBE, EBD = two rt. L s. Wherefore the angles, &c. — QED PROPOSITION XIV., THEOREM 7. If at a point in a straight line two other straight lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | Joseph Hughes - 1883
...hypothesis BD = DC, and AB = AC. .'. By prop. 4 the triangles ABD, ACD are equal in every respect. QED 3. 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. Prop. 14, Bk. I. Needlework.... | |
 | 1883
...DC, and AB = AC. .'. By prop. 4 the triangles ABD, ACD are equal in every respect. QED BL) 3. If ata point in a straight line, two other straight lines,...adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. Prop. 14, Bk. I. Needlework.... | |
 | Euclid - 1883
...ADF G_ B " CKHM And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KH is in the same straight line with HM. [I. 14. And because the straight line HO- meets the parallels... | |
 | Euclides - 1883 - 96 sider
...the angles made by these lines taken consecutively, amount to four -:-'ht angles. PROP. 14. THEOR. If, at a point in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, the two straight... | |
 | Euclides - 1884
...angles thus formed cannot be both acute, nor can they be both obtuse. 49. PROPOSITION 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 straight lines BC, BD, upon opposite sides of AB, make the adjacent angles... | |
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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. 
