 | Euclid, John Playfair - 1853 - 336 sider
...the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. If a straight line touch a circle, and from the point of contact a straight...line be drawn cutting the circle, the angles made by thin line with the line which touches the circle, shall be equal to the angles in the alternate segments... | |
 | Euclides - 1853 - 176 sider
...fС, that is, fС is perpendicular to d e. Therefore, if a straight line, &c. QED PROPOSITION XIX. — THEOREM. If a straight line touches a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. LET the straight... | |
 | Euclides - 1853 - 146 sider
...perpendicular to DE. Therefore, if a straight line, &c. QED PROP. XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let the straight... | |
 | Euclides - 1853 - 334 sider
...angles, and therefore equal : which is impossible (Az. 9). PBOP. XIX. THEOE. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to it : then the centre of the circle shall be in that line. Let DE touch the circle... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...perpendicular to DE. Therefore, if a straight line, etc. QED PROPOSITION XIX. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let the straight... | |
 | Thomas Lund - 1854 - 520 sider
...and draw AB at right angles to OA from the point A ; AB is the tangent required. COB. 3. Hence, also, if a straight line touches a circle, and from the point of contact another straight line be drawn, at right angles to the former, through the circle, the centre of the... | |
 | William Somerville Orr - 1854 - 534 sider
...interruption in the numbering of the propositions. PROPOSITION XIX.— THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draw» at right angles to the touching line, the centre of the circle shall be in that. lim. PROPOSITION... | |
 | John Playfair - 1855 - 334 sider
...adjacent angles are equal, they are right anles. •T*"*'V i^ PROP. XXXII. THEOR. Jf a straight line touch a circle, and from the point of contact a straight...the circle, the angles made by this line with the lute which touches the circle, shall be equal to the angles in the alternate «§•ments of the circle.... | |
 | Euclides - 1855 - 270 sider
...nppeur to be another form of the converse to the first part of Prop. XVI. If a straight line touch a circle, and from the point of contact a straight line be dravm at right angles to the tangent, it is a diameter. This suggests, theoretically speaking, an easy... | |
 | Cambridge univ, exam. papers - 1856 - 252 sider
...externally, the straight line which joins their centres shall pass through the point of contact. 10. If a straight line touches a circle, and from the...straight line be drawn cutting the circle; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in... | |
| |
If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. 
