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" Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either... "
Examination papers used at the examination of candidates for appointment to ... - Pągina 2
per War office - 1861
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pągines
...triangles, &c. QED PROP. XIII. THEOR. See N. IN every triangle, the square of the side subtending any of the acute angles is less than the squares of the...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pągines
...triangles, &c. QED PROP. XIH. THEOR. Book ii. IN every triangle the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle, by twice the rect. angle contained by either of these sides and the straight line intercepted between the perpendicular,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 pągines
...perpendicular and the obtuse angle. Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819 - 800 pągines
...аи-I the obtuse angle. Pmp. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the...containing that angle, by twice the rectangle contained by eithei of these sides, and the straight line ”ntercepuJ between the perpendicular let fall upon it...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pągines
...PROP. XIII. THEOR. In every triangle, the square of the side subtending any of the acute angles, i$ less than the squares of the sides containing that...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular, let fall upon it from the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pągines
...Q,. ED -D PROP. XIII. THEOR. In every triangle, the square of the side subtending any of the aeute angles, is less than the squares of the sides containing that angle, by tvsice tht rectangle contained by cither of these sides, and the straight line intercepted betrvetri...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pągines
...triangles, &c. QED Proposition XIII. Theorem. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the...angle by twice the rectangle contained by either of these sides, and the straight line inteicepted between the perpendicular let fall upon it from the...
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The Principles of Analytical Geometry: Designed for the Use of Students

Henry Parr Hamilton - 1826 - 354 pągines
...algebraically the following Proposition : " In every triangle, the square of the side subtending any of the acute angles is less than the squares of the...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pągines
...*• *• PROPOSITION XIII. THEOREM. In acute angled triangles, the square of the side subtending any of the acute angles is less than the squares of the sides containing the acute angle, by twice a rectangle under one of the sides about the acute angle, viz. on which the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pągines
...triangles, &c. QED PROP. XIII. THEOR. In every triangle, the square of the side subtending either SeeN. of the acute angles, is less than the squares of the...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the...
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