Proof
Produce one side to an isosceles configuration by I.3; apply I.5 and
I.19.
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Depends on (3)
- I.3Proposition I.3Given two unequal straight lines, to cut off from the greater a straight line equal to the less.
- I.5Proposition I.5In isosceles triangles the angles at the base are equal to one another; and if the equal straight lines be produced…
- I.19Proposition I.19In any triangle the greater angle is subtended by the greater side.
Required by (dependents) (7)
- I.21Proposition I.21If on one of the sides of a triangle, from its extremities, there be constructed two straight lines meeting within the…
- I.22Proposition I.22Out of three straight lines, which are equal to three given straight lines, to construct a triangle: thus it is…
- III.7Proposition III.7If on the diameter of a circle a point be taken which is not the centre, and from the point straight lines fall upon…
- III.8Proposition III.8If a point be taken outside a circle and from the point straight lines be drawn through to the circle, one of which is…
- III.11Proposition III.11If two circles touch one another internally, and their centres be taken, the straight line joining their centres, if…
- III.12Proposition III.12If two circles touch one another externally, the straight line joining their centres will pass through the point of…
- XI.20Proposition XI.20If a solid angle be contained by three plane angles, any two, taken together in any manner, are greater than the…
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