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" In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Strona 62
autor: John Playfair - 1819 - Liczba stron: 333
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Minutes of the Committee of Council on Education, with Appendices, Tom 1

Great Britain. Committee on Education - 1848
...the squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less than the squares of the sides containing that...upon it from the opposite angle and the acute angle ; prove only the first case of this proposition. Section 4. 1. Construct a triangle whose area shall...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...PROP. XIII. THEOREM. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. PROP. XIV. PROBLEM. BOOK...
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The Quarterly educational magazine, and record of the Home and ..., Tom 1

Home and colonial school society - 1848
...the side subtending either of the acute * Mr. Moseley adds, with reference to Greek, — angles is less than the squares of the sides containing that...angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall...
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Minutes of the Committee of Council on Education, with Appendices, Tom 2

Great Britain. Committee on Education - 1848
...of the side subtending either of the acute angles is less than the square of the sides containing it by twice the rectangle contained by either of these...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of...
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Report of the Committee of Council on Education (England and ..., Wydanie 2

Great Britain. Council on Education - 1848
...of the side subtending either of the acute angles is less than tbe square of the sides containing it by twice the rectangle contained by either of these...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...the side subtending either of the acute angles is less than the square of the sides, containing it by twice the rectangle contained by either of these...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - Liczba stron: 108
...square of the base of an isosceles triangle is double the rectangle contained by either side and by the line intercepted between the perpendicular let fall upon it from the opposite angle, and the extremity of the base. 14. If two sides of a trapezium be parallel to each other, the squares of its...
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Minutes of the Committee of Council on Education, with Appendices, Tom 2

Great Britain. Committee on Education - 1850
...a right angle. 3. 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 of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall...
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The Calendar of King's College, London

1850
...half the line. 3. 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 of those sides, and the right line intercepted between the perpendicular let fall upon it from the opposite...
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850
...a right angle. 3. 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 cither of those sides, and the straight line intercepted between the acute angle and the perpendicular...
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