 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...Deduce a proof of n. 9 from the result of n. 5. 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... | |
 | 1899 - 166 pages
...keeplng of a second or third year's terms.) 1. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal...square on the line between the points of section. Given the sum of two straight lines find when the sum of the squares on them is least. 2. The opposite... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...the sum of the squares on the two unequal park 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 sliall the sum of the sqq. on AQ, QB be twice the sum of the... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...on the line between the points of section. 5. 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 unequal parts together with four times the square on... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...angle equal to a given rectilineal angle. 4. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal...square on the line between the points of section. • Express the proposition as an algebraical formula. 5- Draw a straight line from a given point,... | |
 | Euclid - Euclid's Elements - 1904 - 488 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... | |
 | British Columbia. Superintendent of Education - 1897 - 710 pages
...according to the variation of angles and sides ? 2. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal...square on the line between the points of section. 3. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls... | |
 | University of Cambridge - 1870 - 782 pages
...point /' : prove that AE is equal to EF. 2. If a straight line be divided into two equal, and alao into two unequal parts, the squares on the two unequal...square on the line between the points of section. The diagonals of a quadrilateral meet in £, and F is the middle point of the straight line joining... | |
 | Education Department - 1879 - 1118 pages
...rectangle contained by those parts. SECTION IV. 1. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal...square on the line between the points of section. 2. The angle in that segment of a circle which is less than a semicircle is greater than a right angle.... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...those to which the equal sides are opposite. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal...square on the line between the points of section. 4. Equal straight lines in a circle are equally distant from the centre : and those which are equally... | |
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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... 
