 | Euclides - 1840 - 192 pages
...XXXI. THEOR. In a right-angled triangle (ACB), the rectilinear figure described upon the side (AB) opposite to the right angle, is equal to the similar and similarly described figures upon the sides (AC, CB) containing the right angle. From the vertex of the right angle draw CD perpendicular to the... | |
 | Euclides - Geometry - 1841 - 378 pages
...Which was to be done. PROP. XXXI. THEOR. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAC: the rectilineal figure described upon BC shall be... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe (46.... | |
 | Euclid - Geometry - 1845 - 218 pages
...to be done. PROPOSITION XXXI. THEOB. — 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. Draw the perpendicular AD : Therefore, because in the right-angled triangle ABC, AD is drawn from the... | |
 | Euclides - 1845 - 546 pages
...def. 3.) QEfPROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal Jigure described upon the side opposite to the right angle, is equal to the similar and similarly described fgures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe (46.... | |
 | Euclides - 1846 - 292 pages
...figure described upon the side subtending the right angle is equal to the similar and similarly situated figures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAC, and upon AB, AC, BC let any similar and similarly... | |
 | Euclides - 1848 - 52 pages
...PROP. XXX. PROBLEM. PROP. XXXI. THEOREM. 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. XXXII. THEOREM. If two triangles which have two sides of the one proportional to two sides of... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe (i.... | |
 | Education - 1852 - 512 pages
...are opposite to the homologous sides. 3. 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. SECTION V. — 1. If two lines be drawn bisecting each other, the lines which join their extremities... | |
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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. 
