| James Russell Soley - Naval education - 1880 - 346 pages
...produced until EF=EB, and GJJ=DC, show that the line GF passes through A. "• 3. If a straight Hue **be divided into two equal parts and also into two...Contained by the unequal parts, together with the square** on the line between the points of section, is equal to the square on half the line. Prove that the... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...likewise squares. PROPOSITION 5. THEOREM. ff a straight line be divided into two equal parts and -dso **into two unequal parts, the rectangle contained by the unequal parts, together with the square** on the line between the points of section, is equalto the square on halftheline. Let the straight line... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...Proposition itself (as in 5). PROP. V. THEOREM. Ij a straight line lie divided into two equal parts, and oho **into two unequal parts, the rectangle contained by the unequal parts, together with the square** on the line between the points of section, is equal to the square on half the line. Let AB be a straight... | |
| Elizabethan club - 1880 - 156 pages
...a rectangle, prove that the squares on PA and PC are together equal to the squares on PB and PD. 5. **If a straight line be divided into two equal parts, and also** two unequal parts, the rectangle contained by the unequal parts, together with the square on the line... | |
| Great Britain. Civil Service Commission - 1880 - 660 pages
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on **the line between the points of section, is equal to the square** on half the line. If О be any point on the base BC (or that base produced) of the isosceles triangle... | |
| Institution of Surveyors (Great Britain). - Surveying - 514 pages
...subtending the right angle is equal to the squares upon the sides which contain the right angle. 7. **If a straight line be divided into two equal parts...points of section, is equal to the square of half the** line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole... | |
| Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...subtending the right angle is equal to the squares upon the sides which contain the right angle. 7. **If a straight line be divided into two equal parts...points of section, is equal to the square of half the** line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole... | |
| Moffatt and Paige - 1881 - 176 pages
...angle AOB in C ; show that the squares on PM, CM are together equal to the square on the radius. 2. **If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square** on the line between the points of section, is equal to the square on half the line. What is the corresponding... | |
| Education, Higher - 1884 - 538 pages
...the same base and between the same parallels, the parallelogram shall be double of the triangle. 13. **If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square** on the line between the points of section, is equal to the square on half the line. 14. If a point... | |
| Euclides - Euclid's Elements - 1881 - 236 pages
...AC.CB PROP. V. THEOREM. lj a straight line be divided into two equal parts, and alto into two tmeaua. **parts • the rectangle contained by the unequal parts,...with the square of the line between the points of** tectim (or division), is equal to the tquare of half the line. Let the straight line AB be dmded into... | |
| |