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" In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Pągina 191
per Robert Simson - 1806 - 518 pągines
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pągines
...line in extreme and mean ratio. Prop 31. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle. Prop. 32. If two triangles which have two sides of the one proportional to two sides of the other,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pągines
...PROPOSITION XXXI. THEOREM. ln r ir/ht -angled triangles, the rectilineal figure described upon the xt'de opposite to the right angle, is equal to the similar...figures upon the sides containing the right angle. Lot ABC'ho a right-angled triangle, having the right angle HA C. The rectilineal figure described upon...
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The Constructive arithmetic

James A. Christie - 1865 - 454 pągines
...Diam.2 -=- -7854 THE EIGHT-ANGLED TRIANGLE. 4 " In any right-angled triangle, the square described upon the side opposite to the right angle is equal to the sum of the two squares described upon the sides containing the right angle." Euclid. Book I. Prop....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 360 pągines
...19PROP. XXXI. THEOR. I'M right angled triangles, the rectilineal figure described upon the side oppt file to the right angle, is equal to the similar, and similarly...right angled triangle, having the right angle BAC : Th« rectilineal figure described upon BC is equal to the similar, and similarly described figures...
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Minutes of the General Council of Medical Education & Registration ..., Volum 4

General Medical Council (Great Britain) - 1866 - 496 pągines
...to a given rectilineal figure. 4. In right-angled triangles, the rectilineal figure described iipon the side opposite to the right angle is equal to the...figures upon the sides containing the right angle. 5. Demonstrate the rule by means of which the sine of the sum of two angles is expressed in terms of...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 pągines
...31. THEOREM. In any right-angled triangle, any rectilineal fig are described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 pągines
...31. THEOREM. In any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pągines
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In rigIit-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...upon the sides containing the right angle, Let ABC \>ea right-angled triangle, having the right angle BAC. The rectilineal figure described upon BC shall...
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Manual of Euclid: Books IV, V, VI.

Euclid - 1868 - 138 pągines
...Ó/ĶOĶOIE TĶ Kai ó/toiftig U1'ity(i«I/iO/iķķ'oii;. In right-angled triangles the figure described upon the side opposite to the right angle is equal to the similar and similarly described fyures upon the sides containing the right angle. Statement. — Let ABC be a right-angled triangle,...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 438 pągines
...hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the side BC is equivalent to the sum of the two squares described on BA and AC....
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