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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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Cambridge senate-house problems and riders for the year 1860; with solutions ...

Henry William Watson - 1860
...through O and cut the circle in C' and DE in P. Then as before the angle APD = ABC' = a right angle. iv. Describe an isosceles triangle having each of the angles at the base double of the third angle. If A be the vertex, and BD the base of the constructed triangle, D being one of the points of intersection...

Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 198 ページ
...equal to the rectangle AB, AD, then, if 0 be the centre of the circle, AO is perpendicular to DE. iv. Describe an isosceles triangle, having each of the angles at the base double of the third angle. If A be the vertex, and BD the base of the constructed triangle, D being one of the points of intersection...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 ページ
...what parallelograms can circles be inscribed ? I5. Give the analysis and synthesis of the problem : to describe an isosceles triangle, having each of the angles at the base double of the third angle ? 16. Shew that in the figure Euc. iv. 10, there are two triangles possessing the required property....

The Mathematical Monthly, 第 3 巻

1860
...STUDENTS. to find x and y by quadratics. — Communicated by Prof. K W. EVANS, Marietta College, Ohio. II. Describe an isosceles triangle having each of the angles at the base double of the third angle. III. Which is greater, 2 tan~ 1 (y/2 — 1), or 3 tan- 1 £ -f- tan~ 1 -fa ? — Communicated by PROF....

Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...6 Ax. 7 & 6. I. Sim. Ax. 1. 9, III. 7 8 9 10 D. 8. 11 Dcf. 6, IV. PROP. 10. — PROB. To construct an isosceles triangle, having each of the angles at the base double of the third, or vertical angle. CON. Pst. 3. 1. IV. Pet. 1. 5, IV. 11, II. To divide a given line into two parts,...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 ページ
...Describe an isosceles triangle having each of the angles at the base double of the third angle. Also describe an isosceles triangle having each of the angles at the base one-third of the third angle. 2. If two triangles have one angle of the one equal to one angle of the...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...triangle. 9. Inscribe a square in a given semicircle. Prop. 10 to 16. 10. On a given straight line as base, describe an isosceles triangle, having each of the angles at the base one-third of the vertical angle. 11. The square of one of the diagonals of a regular pentagon inscribed...

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 ページ
...constructed on DP as the one given line is to the other. PKOBLEM XXXIV. 339. Upon a given base to construct an isosceles triangle, having each of the angles at the base double the г^ег Heal angle. Let А В be the given base. Produce А В to some point С till the rectangle...

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 ページ
...constructed on DF as the one given line is to the other. PROBLEM XXXIV. 339. Upon a given base to construct an isosceles triangle, having each of the angles at the base double the vertical angle. Let AB be the given base. Produce AB to some point C till the rectangle ACXBC shall...

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 320 ページ
...constructed on DF as the one given line is to the other. PROBLEM XXXIV. 339. Upon a given base to construct an isosceles triangle, having each of the angles at the base double the vertical angle. Let AB be the given base. Produce AB to some point C till the rectangle ACXBC shall...




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