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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 ... - Σελίδα 62
των John Playfair - 1819 - 333 σελίδες
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Minutes of the Committee of Council on Education: with Appendices, Τόμος 1

Great Britain. Committee on Education - 1848 - 514 σελίδες
...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...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...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...

The Quarterly educational magazine, and record of the Home and ..., Τόμος 1

Home and colonial school society - 1848 - 412 σελίδες
...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...

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

Great Britain. Committee on Education - 1848 - 606 σελίδες
...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...

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

Great Britain. Council on Education - 1848 - 596 σελίδες
...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...

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

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...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...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...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...

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

Great Britain. Committee on Education - 1850 - 942 σελίδες
...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...

The Calendar of King's College, London

1850 - 400 σελίδες
...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...

Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 σελίδες
...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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