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" In every triangle the square on the side subtending an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the perpendicular let fall... "
Annual Report of the Association of Ontario Land Surveyors - Seite 161
von Association of Ontario Land Surveyors - 1901
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 Seiten
...subtending an acute angle is less than the sum of the squares of the two sides containing that angle, by twice the rectangle contained by either of those sides and the distance between the acute angle and the perpendicular drawn from the opposite angle to that side....
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 Seiten
...subtending the obtuse angle exceeds the sum of the squares of the sides containing the obtuse angle, by twice the rectangle contained by either of those sides and the produced part of it intercepted between the perpendicular let fall on it from the opposite angle and...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1851 - 1054 Seiten
...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 sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 Seiten
...triangle, the square of a side subtending an acute angle, is less than the squares of the other sides, by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular drawn to that side from the...
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The Quarterly educational magazine, and record of the Home and ..., Band 1

Home and colonial school society - 1848 - 412 Seiten
...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 upon it from the opposite...
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Minutes ...: Correspondence, Financial Statements, Etc., and Reports ..., Band 2

Great Britain. Committee on Education - 1850 - 942 Seiten
...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 upon it from the opposite...
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The English Journal of Education, Band 4

1850 - 488 Seiten
...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 upon it from the opposite...
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The Calendar of King's College, London

1850 - 400 Seiten
...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 angle, and the...
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Parliamentary Papers, Band 44

Great Britain. Parliament. House of Commons - 1851 - 1184 Seiten
...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 sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 Seiten
...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 those sides and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the...
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