| Royal college of surgeons of England - 1860
...the third. 5. Triangles upon the same base and between the same parallels are equal to one another. **6. If the square described upon one of the sides of...contained by the two parts, together with the square** of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained... | |
| Robert Potts - 1860 - 361 páginas
...AB, BC is equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. **If a straight line be divided into any two parts,...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
...AC, together with the rectangle AB • BC, is equal to the square on AB. PEOPOSITION III. THEOBEM. **If a straight line be divided into any two parts,...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 - 12 páginas
...described on the other 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,...parts, together with the square on the aforesaid part.** VOLUNTARY PORTION. 2. From a given straight line to cut off any part required. Define the meaning of... | |
| Euclides - 1862
...the square on AB. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 3.— THEOREM. **If a straight line be divided into any two parts,...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
...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... | |
| University of Oxford - 1863
...their other angles shall be equal, each to each, namely those to which the equal sides are opposite. 3. **If a straight line be divided into any two parts,...parts, together with the square on the aforesaid part.** 4. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides... | |
| Euclides - 1864
...AB, BCis equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. **If a straight line be divided into any two parts,...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 the rectangle AB, BC, shall... | |
| Euclides - 1864
...AB, BCis equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. **If a straight line be divided into any two parts,...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.... | |
| Euclides - 1865
...equal to the rectangles under the whole and each of the parts . . . . . II. 2. 2. The rectangle under **the whole and one of the parts, is equal to the rectangle** under the two parts, together with the square on the aforesaid part . . . . . . . n. 3. 3. The square... | |
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