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" To determine a Right-angled Triangle ; having given the Hypothenuse, and the Difference of two Lines drawn from the two acute angles to the Centre of the Inscribed Circle. PROBLEM XIX. "
Mathematical Recreations: Containing Solutions of Many Very Difficult and ... - Page 54
by Horatio Nelson Robinson - 1851 - 86 pages
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...the Right Angle on the Hypothenuse ; to determine the Triangle, that is, its Sides. PROBLEM xvm.. . To. determine a Right-angled Triangle; having given...acute angles to the Centre of the Inscribed Circle. ยป * * PROBLEM PROBLKM XIX. To determine a Triangle; having given the Base, the Perpendicular, and...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...the Right Angle on the Hypothenuse ; to determine the Triangle, that is, its Sides. PROBLEM XVIII. To determine a Right-angled Triangle ; having given...acute angles to the Centre of the Inscribed Circle. PROBLEM XIX. To determine a Triangle ; having given the Base, the Pe,rpendicular, and the Difference...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 1818 - 646 pages
...the Right Angle on the Hypothenuse ; to determine the Triangle, that is, its Sides. , PROBLEM XVHi To determine a Right-angled Triangle ; having given...drawn from the two acute angles to the Centre of the 1nscribed Circle. PROW .KM xix. To determine a Triangle ; having given the Base, the Per pendicular,...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...the Right Angle on the Hypothenuse ; to determine the Triangle, that is, its Sides. PROBLEM XVIII. To determine, a Right-angled Triangle ; having given...acute angles to the Centre of the Inscribed Circle. PROBLEM XIX. To determine a Triangle ; having given the Base, the Perpendicular, and the Difference...
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The Elements of Analytical Geometry ...

John Radford Young - Conic sections - 1833 - 310 pages
...C/: Of, whence ax + bx : ab โ€” . | Which was required. : : c : x. Therefore x = */ PROBLEM LXXII. To determine a right-angled triangle ; having given...acute angles to the centre of the inscribed circle. In the annexed fig. let CD be the greater, and AD the less of the two lines of which the difference...
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The Elements of Analytical Geometry ...

John Radford Young - Geometry, Analytic - 1835 - 298 pages
...and c for C/ Also x for Od = Oe = Of. Then V { A2 + *\ [BO] : x [Od] : : a + b [AG]. PROBLEM LXXII. To determine a right-angled triangle ; having given...acute angles to the centre of the inscribed circle. In the annexed fig. let CD be the greater, and AD the less of the two lines of which the difference...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...right angle on the hypothenuse, to determine the triangle. PROBLEM XVIII. To determine a right angled triangle, having given the hypothenuse and the difference...acute angles to the centre of the inscribed circle. PROBLEM XIX. To determine a triangle, having given the base, the perpendicular, and the difference...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...the triangle is determined. 18. To determine a right-angled triangle ; having given the hypotenuse, and the difference of two lines drawn from the two...acute angles to the centre of the inscribed circle. In the annexed figure let CD be the greater, and AD the less of the two lines of which the difference...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...that we shall have PROBLEM VII. To determine a right-angled triangle, having given the hypothenuse and difference of two lines drawn from the two acute angles to the centre of the inscribed circle. Let AC = h ; AO = x + d; CO = x - d, d being half the difference of the lines AO and CO. Produce AO, and...
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Geometry, Analytic - 1848 - 300 pages
...โ€” i2 . : c : x. Therefore x = */ ( - -^-i- โ€” .\ Which was required. Vo + 6 + c / B PROBLEM LXXII. To determine a right-angled triangle ; having given...acute angles to the centre of the inscribed circle. In the annexed fig. let CD be the greater, and AD the less of the two lines of which the difference...
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