 | Euclides - 1845 - 546 pagina’s
...Joining AD and CB, by Euc. m. 21, the triangles CEB, AED are equiangular, and by Euc. vi. 4, 16, nI. 36, 37, the given circle and the required circle each...touching the line BC in B is the circle required. Let H be the centre of this circle ; join HB, and BF cutting; the circumference of the given circle... | |
 | Euclides - 1864 - 448 pagina’s
...? Various cases will arise according to the relative position of the two points and the circle. 79. Let A be the given point, BC the given straight line, and D the center of the given circle. Through D draw CD perpendicular to BC, meeting the circumference in E,... | |
 | Robert Potts - 1865 - 528 pagina’s
...be the center of the circle which touches the circles whose centers are A, B, and the line CD. 42. Let A be the given point, BC the given straight line, and D the ce nter of the given circle. Through D draw CD perpendicular to BC, meeting the circumference in E,... | |
 | Robert Potts - 1868 - 434 pagina’s
...fail? Various cases will arise according to the relative position of the two points and the circle. 79. Let A be the given point, BC the given straight line, and D the center of the given circle. Through D draw CD perpendicular to BC, meeting the circumference in E,... | |
 | Robert Potts - 1876 - 446 pagina’s
...fail? Various cases will arise according to the relative position of the two points and the circle. 79. Let A be the given point, BC the given straight line, and D the center of the given circle. Through D draw CD perpendicular to BC, meeting the circumference in E,... | |
 | 1879 - 690 pagina’s
...VjA C* + BC*) = V*J25 = 25. Therefore resultant velocity of ball = 25ft. per second.— RANA. 826.— Let A be the given point, BC the given straight line, and D its point of bisection. Draw the straight line, CA, and produce it any distance to E ; draw the straight... | |
 | Euclides - 1885 - 322 pagina’s
...the preceding question, for if the triangles have equal areas, they will have equal altitudes. 13. Let A be the given point, BC the given straight line, and let AD, AE be two of the straight lines drawn from A to BC. Then the straight line joining the middle... | |
 | Euclid - 1845 - 336 pagina’s
...line that can be drawn from a given point to a given straight line is the perpendicular to that line. Let A be the given point, BC the given straight line, and let AD ,A be the perpendicular from A to BC ; to prove that AD is the shortest line that can be drawn... | |
| |
D the centre of the given circle. Through D draw CD perpendicular to BC, meeting the circumference in E, F. Join AF, and take FG to the diameter FE, as FC is to FA. The circle described passing through the two points A, G and touching the line BC in B... 