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書籍 To describe an isosceles triangle, having each of the angles at the base double of... の書籍検索結果
" To describe an isosceles triangle, having each of the angles at the base double of the third angle. "
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - 537 ページ
1878
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 ページ
...distance EA, describe the circle ABCD : it is (IV. A. cor.) the circle required. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it (II. .11.) in C, so that * In practice, the construction is...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 ページ
...extremities of the other three, and be described about the square ABCD. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and (II. 11) divide it in the point C, so that the rectangle AB • BC may...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 ページ
...extremities of the other three, and be described about the given square. PROPOSITION X. Problem*. To describe an isosceles triangle, having each of the angles at the base double of the third angle. * This is considered the most useful problem in Euclid. Steps of the Demonstration. 1. Prove that AB...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...of the angles BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD is described, having each of the angles at the base double of the third angle. Which was to be done. PROP. XI. PROB. To inscribe an equilateral and equiangular pentagon in a given...

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University of Cambridge - 1841
...upon the une side of it are either two right angles, or are together equal to two right angles. 2. Describe an isosceles triangle, having each of the angles at the base double of the third angle. Shew that if the points of intersection of the circles, in Euclid's 6gure, be joined with the vertex...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 ページ
...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. 2. Take any straight line AB, and divide* it in the point C, so that the rectangle contained...

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

John Playfair - 1842 - 317 ページ
...through, the extremities of the other three, and be described about the square ABCD. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle AB.BC may be...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...the extremities of the three others, and be described about the square ABCD. QEF PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it (11. 2.) in the point c, so that the rectangle AB, вc be...

Report to the Trustees of the Dick Bequest for the Benefit of the ..., 第 2 巻

1844
...the base segments proportional to the sides of the triangle. 4. On a given straight line as a base, describe an isosceles triangle having each of the angles at the base double of that at the vertex. — NB After giving the construction, sketeh briefly the outline of the proof....

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...extremities of the other three, and be described about the square ABCD. O..EF PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it in the point C, (n. II.) so that the rectangle AB, BC may...




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