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" 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 these sides, and the straight line intercepted between the acute... "
Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ... - Σελίδα 101
των James Bates Thomson - 1844 - 237 σελίδες
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Elementary Course of Geometry ...

Charles William Hackley - 1847 - 248 σελίδες
...XXVJU. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides, by twice the rectangle of one of the sides containing the obtuse angle and the distance of the perpendicular drawn from the...

Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...other; the base of that which has the greater angle shall be greater than the base of the other. 3. In every triangle the square 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...

Minutes ...: Correspondence, Financial Statements, Etc., and ..., Τόμος 2

Great Britain. Committee on Education - 1848 - 606 σελίδες
...other ; the base of that which has the greater angle shall be greater than the base of the other. 3. In every triangle the square 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...

Report of the Committee of Council on Education (England and Wales ..., Τεύχος 2

Great Britain. Council on Education - 1848 - 596 σελίδες
...other ; the base of that which has the greater angle shall be greater than the base of the other. 3. In every triangle the square 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 Quarterly educational magazine, and record of the Home and ..., Τόμος 1

Home and colonial school society - 1848 - 412 σελίδες
...following Equations : — " 1- *~3 _ , , x -3 *+2~ +2x-l 9 = 13 2. / x + 48 / : V +V 3. ( x + y = a " In every triangle the square of the side subtending either of the acute * Mr. Moseley adds, with reference to Greek, — angles is less than the squares of the sides containing...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 σελίδες
...of ABCD. PROPOSITION XII. THEOREM. In every triangle, the square of a side opposite an acute angle is less than the sum of the squares of the other two sides, by twice the rectangle contained by the base and the distance from the acute angle to the foot of the perpendicular let fall from the opposite...

Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 σελίδες
...described upon the other two sides of it, the angle contained bj these two sides is 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,...

The Calendar of King's College, London

1850 - 400 σελίδες
...with the square of the line between the points of section, is equal to the square of 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,...

Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 332 σελίδες
...THEOREM. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides, by twice the rectangle of the base and the distance of the perpendicular from the obtuse angle. Let ABC be a triangle, obtuseangled...

An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 674 σελίδες
...12.] In any obtuse angled triangle, the square of the side subtending the obtiiKe angle, is greater than the sum of the squares of the other two sides, by twice the rectangle of the base, and the distance of the perpendicular from the obtuse angle. Let ABC be a right angled...




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