| Euclides - 1840
...and . -jnean ratio. PROP. XXXI. THEOR. In a right-angled triangle, the rectilinear figure described **upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle.** PROP. XXXII. THEOR. If two triangles, having two sides of the one proportional to two sides of the... | |
| Euclides - 1840
...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 - 1841 - 351 sider
...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 - 1842 - 317 sider
...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 - 1845 - 199 sider
...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
...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... | |
| John Playfair - 1846 - 317 sider
...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
...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
...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 - 108 sider
...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.... | |
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