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" Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice a hecatomb when he made out its proof ?  "
The Modern Preceptor ; Or, a General Course of Education - الصفحة 269
بواسطة John Dougall - 1810
عرض كامل - لمحة عن هذا الكتاب

The Year-book of Photography and Photographic News Almanac for ...

1880 - عدد الصفحات: 1034
...simple. Euclid, who I am sure must have studied photography deeply, proved that the square described on the hypothenuse of a right-angled triangle is equal to the sum of those described on the other two sides, and on this simple but valuable fact is based the whole of...

A Treatise on Logic: Or, The Laws of Pure Thought; Comprising Both the ...

Francis Bowen - 1864 - عدد الصفحات: 472
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in...

The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - 1864 - عدد الصفحات: 322
...other two sides are the base and perpendicular. B Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form...

A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - 1864 - عدد الصفحات: 364
...square upon the line AC is equal to the two squares upon AB and BC ; and generally, The square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Hence, RULE I. To find the hypothenuse, the base and perpendicular...

A treatise on logic, or, The laws of pure thought

Francis Bowen - 1864 - عدد الصفحات: 480
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in...

A Treatise on Logic: Or, The Laws of Pure Thought; Comprising Both the ...

Francis Bowen - 1864 - عدد الصفحات: 480
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in...

The Common School Arithmetic ...

James Stewart Eaton - 1868 - عدد الصفحات: 356
...how found? Diameter, how? Ratio of the areas of two circle*? 11. The square de- ^ Fig. 12. scribed on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form...

Country Life: A Handbook of Agriculture, Horticulture, & Landscape Gardening

Robert Morris Copeland - 1866 - عدد الصفحات: 944
...staking out the oval. That method of getting a right angle is embodied in the mathematical proposition that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. To proceed with the work. After staking out all the beds, select...

OUR OWN FIRESIDE

REV. CHARLES BULLOCK - 1866 - عدد الصفحات: 724
...arithmetic and geometry, written as early as the year 1150 AD, contains the celebrated proposition that the square of the hypothenuse of a right-angled triangle is equal to the squares on the sides containing the triangle. As a striking example üf tl-. absurd superstitious...

The gay science, المجلد 2

Enaeas Sweetland Dallas - 1866 - عدد الصفحات: 362
...on the knowledge, but on our conceit of it. If when a man comes to know that the square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the otber two sides, be should think CHAPTER that the intellectual discovery...




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