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" To describe an isosceles triangle, having each of the angles at the base double of the third angle. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 101
των John Playfair - 1847 - 317 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...other three, and be described about the square ABCD. Which was to be done. : • '-) PROP. X. PROB. TO describe an isosceles triangle, having each of the angles at the base double of the third angle. a 11. 2. Take any straight line AB, and divide » it in the point C, so that the rectangle AB, BC be...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...three, and will therefore be described about the square ABCD. Which was to be done, r PROP. X. PROB. TO describe an isosceles triangle, having each of the angles at the base double of the third angle. Book IV. Take any straight line AB, and divide1 it in the point C, a ll- 2so that the rectangle AB.BC...

The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 3

William Nicholson - 1809 - 700 σελίδες
...to AC, and GF, HK, parallel to BD ; which "•ill give the required square. PROBLEM XXXI. /'" make an isosceles triangle, having each of the angles at the base double that at the summit. Fig. 32. Cut any given line, as AB, into extreme and mean proportions, (as in Problem...

The British encyclopedia, or, Dictionary of arts and sciences, Τόμος 3

William Nicholson - 1809 - 752 σελίδες
...to AC, and GF, H К, parallel to В D ; which will give the required square. PROBLEM XXXI. Tu mate an isosceles triangle, having each of the angles at the base double that at the summit. Fig. S-¿. Cut any given line, as AB, into extreme and mean proportions, (as in...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...circle in a given iquaie. Prop. IX. Prob. To describe a circle about a given square. Prop. X. Prob. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Prop. XI. Prob. To inscribe an equilateral and equiangular pentagon in a given circle. Prop. XII. Prob....

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...extremities of the other three, and be described about the square ABCD. Which was to be done. PROP, X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. * 11. 8. Take any straight line AB, and divide* it in the point C, so that the rectangle AB, BC be...

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

Miles Bland - 1819 - 444 σελίδες
...the squares of the sides of a regular hexagon and decagon inscribed in the same circle. Let ABC be an isosceles triangle having each of the angles at the base double of the angle at A. With the centre A, and radius AB, describe a circle BCE. Draw CE bisecting the angle ACE....

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

Miles Bland - 1819 - 442 σελίδες
...the squares of the sides of a regular hexagon and decagon inscribed in the same circle. Let ABC be an isosceles triangle having each of the angles at the base double of the angle at A. With the centre A, and radius AB, describe a circle BCE. Draw CE bisecting the angle ACB....

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...extremities of the other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of...(11. 2.) it in the point C, so that the rectangle AB, BC be equal to the square of CA; and from the centre A, at the distance AB, describe the circle...

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 516 σελίδες
...D, and is therefore circumscribed about the given square (Def. 4. 4). PROP. X. PROB. To constitute an isosceles triangle, having each of the angles at the base double the vertical angle. Take any right line AB, and divide it in the point C, so that the rectangle ABC...




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