| 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... | |
| University of Oxford - 1863
...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 by the...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... | |
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