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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. "
Text-book of Elementary Plane Geometry - Σελίδα 46
των Julius Petersen - 1880 - 73 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 454 σελίδες
...• 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,...

A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 446 σελίδες
...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...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 σελίδες
...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...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 σελίδες
...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...

The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 σελίδες
...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...

Elements of Geometry

Adrien Marie Legendre - 1841 - 288 σελίδες
...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...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...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...

A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1845 - 222 σελίδες
...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...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...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...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...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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