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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 ... - Side 187
av Robert Simson - 1806 - 518 sider
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarlg described figures upon the sides containing the right angle. Let ABC\ie a right-angled triangle,...
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Treatise on Plane and Solid Geometry ...: Written for the Mathematical ...

Eli Todd Tappan - 1864 - 268 sider
[ Beklager, innholdet på denne siden er tilgangsbegrenset. ]
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...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 - 504 sider
[ Beklager, innholdet på denne siden er tilgangsbegrenset. ]
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The Constructive arithmetic

James A. Christie - 1865
...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 - 317 sider
...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
...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 - 400 sider
...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 - 400 sider
...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 - 410 sider
...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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