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### Inhoudsopgave

 The Circle 9 Angles at the Centre and Sectors 16 Chords 31 Angles in Segments 37 Tangents 49 Two Circles 64 Inscribed and Circumscribed Figures 72 The Circle in Connection with Areas 87
 Definitions 101 Fundamental Geometrical Propositions 117 Of Ratio and Proportion 127 Fundamental Geometrical Propositions 144 Proportion 151 Areas 169 Loci and Problems 184 Definitions 197

### Populaire passages

Pagina 167 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Pagina 9 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Pagina 169 - If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means...
Pagina 30 - In the same circle, or in equal circles, equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Pagina 171 - ... are to one another in the duplicate ratio of their homologous sides.
Pagina 150 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Pagina 115 - IF any number of magnitudes be proportionals, as one of the antecedents is to its consequent, so shall all the antecedents taken together be to all the consequents. Let...
Pagina 101 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Pagina 96 - ... if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle.
Pagina 150 - When there are any number of magnitudes of the same kind, the first is said to have to the last of them the ratio compounded of the ratio which the first has to the second, and of the ratio whi.ch the second has to the third, and of the ratio which the third has to the fourth, and so on unto the last magnitude. For example, if A, B, C, D be four magnitudes of the same kind, the first...