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" ... may be demonstrated from what has been said of the pentagon : and likewise a circle may be inscribed in a given equilateral and equiangular hexagon, and circumscribed about it, by a method like to that used for the pentagon. "
The Elements of Euclid, the parts read in the University of Cambridge [book ... - Side 146
av Euclides - 1846
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 sider
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...XVI. PROB. TO inscribe an equilateral and equiangular quinde- See Note. cagon in a given circle. Let ABCD be the given circle; it is required to inscribe...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...equiangular pentagon. Prop. XV. Prob. To inscribe an equilateral and equiangular hexagon in a given circle. Prop. XVI. Prob. To inscribe an equilateral and equiangular quindecagon in a given circle. Book V. Def. 1. — A less magnitude is said to be a part of a greater magnitude, when the less m«asuret...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...equiangular hexagon, and circumscribed about it, by a me- . thod like to that used for the pentagon. PROP. XVI. PROB. To inscribe an equilateral and equiangular...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...a method like to that used for the pentagon. PROP. XVIV PROB. . To inscribe an equilateral and equiangular quin- See N. decagon in a given circle. Let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...XVI. PROB. To inscribe an equilateral and equiangular quinilecugon in a given circle. Let ABCD be the given circle ; it is required to inscribe an equilateral...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...inscribed in the circle ABCD. Which was to be done. PROP. VII. PROB, •s. , To describe a square about a given circle. Let ABCD be the given circle ; it is required to describe a square about it. Draw two diameters AC, BD of the circle ABCD, at right angles to one another,...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 sider
...circle, to inscribe four circles equal to each other, and in mutual contact with each other and the given circle. Let ABCD be the given circle : It is required to inscribe in it four equal circles touching one another, and the circle ABCD. IV * • _l . «•• , * . H...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...lines touching the circle, an equilateral and equiangular hexagon shall be described about it, which may be demonstrated from what has been said of the...pentagon ; and likewise a circle may be inscribed in a giren equilateral and equiangular hexagon, and circumscribed about it, by a method like to that used...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...circle coincides with the centre of the inscribed circle. PROPOSITION VI. PROBLEM. To inscribe a square in a given circle. Let ABCD be the given circle; it is required to inscribe a square in the circle ABCD. Draw the two diameters AC, BD, of the circle ABCD at right angles to one...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...lines touehing the eirele, an equilateral and equiangular hexagon shall be deseribed about it, whieh may be demonstrated from what has been said of the pentagon; and likewise a eirele may be inseribed in a eiven equilateral and equiangular hexngon, and eireumseribed about it,...
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