| Euclid - Geometry - 1810 - 554 pages
...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... | |
| John Mason Good - 1813 - 714 pages
...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... | |
| Euclides - 1814 - 560 pages
...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... | |
| Euclides - 1816 - 588 pages
...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... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...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... | |
| John Playfair - 1819 - 354 pages
...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,... | |
| Daniel Cresswell - Geometry - 1819 - 446 pages
...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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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... | |
| Euclid - 1826 - 234 pages
...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... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...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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