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. The Elements of Euclid - Side 41av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| W. Davis Haskoll - 1858 - 324 sider
...a straight line be divided into any two parts, the rectangle contained by the whole and ono part is **equal to the rectangle contained by the two parts, together with the square of the** aforesaid part. If a straight line be divided into any two parts, four times tho rectangle contained... | |
| Euclides - 1858
...intercepted without the triangle between the perpendicular and the obtuse angle. 3. II. If a line be divided **into any two parts, the rectangle contained by the whole and one of the parts** equals the rectangle contained by the two parts together with the square of the aforesaid part. Ax.... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...gallon ; how many gallons of each sort of wine must he take. Euclid. 1. If a straight line be divided **into any two parts, the rectangle contained by the...the parts, is equal to the rectangle contained by** the parts, together with the square of the aforesaid part. the straight line intercepted between the... | |
| Royal college of surgeons of England - 1860
...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 by the...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 by... | |
| Robert Potts - 1860 - 361 sider
...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...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
...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 - 12 sider
...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 by the...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 - 1862
...— 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
...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... | |
| Robert Potts - 1864
...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...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... | |
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