 | Royal college of surgeons of England - 1860 - 332 pages
...two sides of it, the angle contained by these two sides is a right angle. 7. If a straight line be divided into any two parts, the rectangle contained...parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained...parts, is equal to the rectangle contained by the two varts, together with the square on the aforesaid part, Let the straight line AS be divided into any... | |
 | Euclides - 1860 - 288 pages
...rectangle AB • BC, is equal to the square on AB. PEOPOSITION III. THEOBEM. If a straight line be divided into any two parts, the rectangle contained...by the whole and one of the parts is equal to the square on that part, together with the rectangle contained by the two parts. Given the straight line... | |
 | War office - 1861 - 714 pages
...two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into any two parts, the rectangle contained...contained by the two parts, together with the square on the aforesaid part. VOLUNTARY PORTION. 2. From a given straight line to cut off any part required.... | |
 | Euclides - 1861 - 464 pages
...line be divided into any two pts, the I | contained by the whole and one of the pts is eq. to the I П contained by the two parts together with the square of the aforesaid part. 35, III. If two st. lines cut one another within a 0 the rect. contained by the segs. of one is eq.... | |
 | Euclides - 1862 - 140 pages
...Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 3.— THEOREM. If a straight line be divided into any two parts, the rectangle contained...by the whole and one of the parts, is equal to the square on that part, together with the rectangle contained by the two parts. (References— Prop. I.... | |
 | Euclides - 1862 - 172 pages
...straight line be divided into any two parts ; then the rectangle contained by the whole and one of Ihe parts is equal to the rectangle contained by the two...parts, together with the square of the aforesaid part. (References— Prop. i. 31, 46.) Let the straight line AB be divided into any two parts in the point... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...likewise those which are terminated at the other extremity equal to one another. 3. If a straight line be divided into any two parts, the rectangle contained...contained by the two parts, together with the square on the aforesaid part. 4. Make a triangle of which the sides shall be equal to three given straight... | |
 | Euclides - 1864 - 262 pages
...square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then... | |
 | Euclides - 1864 - 448 pages
...square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, it equal to the rectangle contained by the two parts, together with the square on the aforesaid part.... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
