 | George Bruce Halsted - Geometry - 1886 - 394 pages
...2a*, ([« + £] + a)* + £* = 2(a + b)* + W. Therefore If a sect be divided into two equal and also two unequal parts, the squares on the two unequal parts are together double the squares on half the sect and on the line between the points of section. 302. By 294, and the associative... | |
 | Richard Anthony Proctor - Geometry - 1887 - 202 pages
...square on the whole line is equal to nine times the square on any one of the parts. Prop. 9 thus:- Let the straight line AB be divided into two equal...point C, and into two unequal parts at the point D ; then the squares on AD, DB are together equal to double the squares on AC, C D. The square on AD... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...to the square on the whole line. 6. Show that if a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together doable of the square on half the line, and of the square on the line between the points of section.... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...straight line is divided into two equal parts, and also into two unequal parts, the squares on the unequal parts are together double of the square on half the line, and of the square on the part between the points of section. 6. The angles in the same segment of a circle are equal to one... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...bisected and produced to any point, the squares on the whole line thus produced and the part produced are together double of the square on half the line and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...bisected and produced to any point the squares on the whole line thus produced and the part produced are together double of the square on half the line and of the square on the line made up of the half and the part produced. 11. To divide a given straight line into two parts, so that... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...right angle, the two triangles are equivalent. 3. If a straight line be divided into two equal and into two unequal parts, the squares on the two unequal...together double of the square on half the line and the square on the line between the points of section. 4. If perpendiculars be drawn from any point... | |
 | Euclid - Geometry - 1892 - 460 pages
...the sum of the squares on the two unequal parts is twice the sum of the squares on half the line and on the line between the points of section. Let the straight line AB be divided equally at P, and unequally at Q : then shall the sum of the sqq. on AQ, QB be twice the sum of the... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...Deduce a proof of n. 9 from the result of n. 6. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are equal to twice the rectangle contained by the two unequal parts together with four times the square... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...(25.) B. 27. A straight line is divided into two equal and also into two unequal parts ; show that the squares on the two unequal parts are together...square on the line between the points of section. A straight line is divided into two parts ; show that the less the difference between the parts, the... | |
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If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. Let the straight line... 
