| 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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