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" In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Σελίδα 43
των Euclid, James Thomson - 1837 - 390 σελίδες
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The Assurance Magazine, and Journal of the Institute of Actuaries, Τόμος 3

1853
...angles. 28. Show that in any right-angled triangle, the square which is described upon the hypothenuse, that is, the side subtending the right angle, is equal...described upon the sides which contain the right angle. When the sides of a right-angled triangle are 30 and 40, what is the hypothenuse? 29. Show that, if...

The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New ..., Βιβλίο 1

Euclides - 1853
...opposite to the right angle, shall be equal to the squares, which are described on the sides including the right angle. Let ABC be a right-angled triangle having the right angle BAC. Then the square described on the side BC, opposite to the right angle BAC, shall be equal to the squares...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAG : the rectilineal figure described upon BC is equal to the similar and similarly described figures...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...angles. PROPOSITION XLVII.— THEOREM. In any right-angted triangle, the square which is described upon the side subtending the right angle is equal to the squares described uyxm the sides which contain the right angle. Lit1 abc be a right.angled triangle having the right...

The popular educator, Τόμος 4;Τόμος 7

Popular educator - 1852
...equal to a given rectilineal angle. 9. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. 10. Find a point within a given triangle, from which lines drawn to the several angular points will...

Universal Masonic Library, Τόμος 10

Robert Macoy - 1855
...are equal to two right angles. 3. In any right angled triangle, the square which is described, upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. Pythagoras used to deliver a most admirable lecture on the emblem of an angle of ninety degrees or...

Universal Masonic Library, Τόμος 2

Robert Macoy - 1855
...and is as follows : — THEOREM. " In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides containing the right angle." THE DEMONSTRATION. In {geometrical solutions and demonstrations of quantities,...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...can be thus inscribed. PROP. XLVII. THEOREM. In any right-angled triangle, the square described upon the side subtending the right angle, is equal to the squares described upon the two sides, containing the right angle. Let ABС be a right-angled triangle, having the right angle...

The theocratic philosophy of freemasonry, 12 lectures

George Oliver - 1856
...are equal to two right angles. 3. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. ignominy, and his memory will be covered with reproach. Some think that he earned the comparison beyond...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...greater than two right angles. 5. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. 6. If a straight line be divided into any two parts, the rectangles contained by the whole and each...




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