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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 acute... "
Annual Report of the Commissioners ... - Σελίδα 59
1902
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The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1917 - 560 σελίδες
...shall be equal to that of a given triangle, and have an angle equal to a given angle. 4. Prove that in any triangle the square of a side subtending an...perpendicular drawn to that side from the opposite angle. 5. Show how to draw a tangent to a circle from an external point. 6. If from a point without a circle...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1851 - 1054 σελίδες
...side subtending cither of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of those...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. NB— The first case only of this proposition is to be proved....

Minutes of the Committee of Council on Education, Τόμος 2

Great Britain. Committee on Education - 1850 - 904 σελίδες
...either of the (cote angles is less than the squares of the sides containing that angle by twice tie rectangle contained by either of those sides, and...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. NB — The first case only of this proposition is to be proved....

Parliamentary Papers, Τόμος 17

Great Britain. Parliament. House of Commons - 1871 - 902 σελίδες
...than the squares of the sides containing that angle by twice the rectangle contained by either of the sides and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. If in the triangle ABC, A be the subtended acute angle, how...

Parliamentary Papers, Τόμος 24

Great Britain. Parliament. House of Commons - 1876 - 570 σελίδες
...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 angle and the perpendicular let fall on it from the opposite angle. 3. The sides of a triangle are 13, 14, and 15 feet ; find its...

Report of Her Majesty's Civil Service Commissioners: Together ..., Τόμοι 15-16

1870 - 964 σελίδες
...than the squares of the sides containing that angle by twice the rectangle contained by either of the sides and the straight line intercepted between the acute angle and the perpendicular let "all upon it from the opposite angle. If in the triangle ABC, A be the subtended acute angle, how...

The London University Calendar

London univ - 1874 - 778 σελίδες
...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 angle and the perpendicular let fall upon it from the opposite angle. 7. If two chords of a circle bisect one another, the point...

A First Course of Geometry

130 σελίδες
...of the acute angles is equal to the sum of the squares on the sides containing that angle diminished by twice the rectangle contained by either of those sides and the projection on it of the other. CC c BDADBABA Let ABC be any triangle, of which A is an acute angle,...
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The Elements of Plane Geometry

Euclid - 1845 - 336 σελίδες
...of the acute angles is equal to the sum of the squares on the sides containing that angle diminished by twice the rectangle contained by either of those sides and the projection on it of the other. CO c BDADBAB Let ABC be any triangle of which A is an acute angle, and...
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