 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...• If two given circles touch each other, and also touch a given straight line, the part of the line between the points of contact, is a mean proportional between the diameters of the circles. (XXI.) Two straight lines being given, which are the two first of a series of proportionals,... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...THEOREM. If two given circles touch each other, and also touch a given straight line, the part of the line between the points of contact, is a mean proportional between the diameters of the circles. Let the two circles ABC, EBD, which touch A C one another in B, be each of them touched... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...contact. 36. If two circles touch each other and also touch a straight line ; the part of the line between the points of contact is a mean proportional between the diameters of the circles. 37. If two circles touch each other externally, and the line joining their centres... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...contact. • (36.) If two circles touch each other, and also touch a straight line ; the part of the line between the points of contact, is a mean proportional between the diameters of the circle. Let AEB, CED be twa circles touching each other in E, and a straight line AC in A and... | |
 | Euclides - 1821 - 294 pages
...difference of the sides. XV. If two 0s touch one another, and also touch a right line ; the part of the line between the points of contact is a mean proportional between the diameters of the Os. XVI. If the opposite sides of a quadrilateral figure inscribed in a © be produced, the... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...LXI. If two circles touch each other, and also touch a straight line, Fig. 348 the part of the line between the points of contact is a mean proportional between the diameters of the circles. Let AEB, CED, be two circles touching each other in E and a straight line AC in A and... | |
 | Euclides - Geometry - 1841 - 378 pages
...segments. 1S. If two circles touch each other, and also touch a straight line, the part of the line between the points of contact is a mean proportional between the diameters of the circles. 19. If from any point within an equilateral triangle, perpendiculars be drawn to the... | |
 | Alfred Wrigley - 1845 - 222 pages
...90. If two circles touch each other externally, and also a given straight line, the part of the line between the points of contact is a mean proportional between the diameters. (Euclid, vi. 17. Cape, Proportion, art. 1 86.) 91. If two circles touch each other, either internally... | |
 | Euclides - 1845 - 546 pages
...117. If two circles touch each other externally and also touch a straight line, the part of the line between the points of contact is a mean proportional between the diameters of the circles. 118. If a perpendicular be drawn from the right angle to the hypothenuse of a right-angled... | |
 | Euclides - 1846 - 292 pages
...drawn bisecting the angle C, shew that AB : AC :: BC- AC : AD. 20. If two circles touch externally, the part of their common tangent between the points...contact is a mean proportional between the diameters. 21. Given the lengths of three lines, drawn from the angles to the points of bisection of the opposite... | |
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If two circles touch each other, and also touch a given straight line, the part of the straight line between the points of contact is a mean proportional between the diameters of the circles. 
