The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line ; and... Nature - Página 92editado por - 1887Vista completa - Acerca de este libro
| Charles Butler - 1814 - 528 páginas
...point in CT, •.• CT is without the circle. QED Cor. Hence it appears that the shortest line that can be drawn from a given point to a given straight line, is that which is perpendicular to the latter. 185. In the enunciation of this proposition we read,... | |
| Euclides - 1840 - 192 páginas
...straight line, there can be drawn but one perpendicular. 7. The perpendicular is the shortest line which can be drawn from a given point to a given straight line. (Pr. i9.) 8. If two s.ides of a triangle be bisected, and perpendiculars be drawn from the middle points... | |
| William Desborough Cooley - 1840 - 106 páginas
...base and between the same parallels with it, since the perpendicular is less than any other line which can be drawn from a given point to a given straight line. Hence it follows, that a rectangular parallelogram on the same base and between the same parallels... | |
| Royal Military Academy, Woolwich - 1853 - 400 páginas
...be equal to each of the segments into which it divides the hypothenuse ; 27. Only one perpendicular can be drawn from a given point to a given straight line, whether the point be in the line or without it. 28 The perpendicular is the shortest line that can... | |
| Euclides - 1860 - 288 páginas
...and if there be only one such, if is the maximum. TEOPOSITION I. THEOREM. Of all straight lines that can be drawn from a given point to a given straight line, the perpendicular is the least. " v Given the point P, and the line AB ; draw PC perpendicular to AB,... | |
| Euclides - 1865 - 402 páginas
...right angles, by joining A to any point in BC. 18. The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line ; and of others, that which is nearer to the perpendicular is less than the more remote ; and two,... | |
| Euclid, Isaac Todhunter - 1867 - 426 páginas
...is greater than the diagonal of the square. 21. The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line; and of others, that which is nearer to the perpendicular is less than the more remote; and two, and... | |
| Euclides - 1871 - 136 páginas
...D ; shew that AD is greater than AB. Ex. 3. The perpendicular is the shortest straight line, which can be drawn from a given point to a given straight line ; and of others, that which is nearer to the perpendicular is less than the more remote. Any two »ide»... | |
| Euclid, Charles Peter Mason - 1872 - 216 páginas
...bisect the base and be at right angles to it. (I. 1-8.) 16. The perpendicular is the shortest line that can be drawn from a given point to a given straight line. (1. 1-19.) 17. Of all the lines that can be drawn from a given point to a given straight line, those... | |
| Euclides, James Hamblin Smith - 1872 - 376 páginas
...D ; shew that AD is greater than AB. Ex. 3. The perpendicular is the shortest straight line, which can be drawn from a given point to a given straight line ; and of others, that which is nearer to the perpendicular is less than the more remote. PROPOSITION... | |
| |