 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...into two equal, and also into two unequal parts, the squares on the two unequal parts are t 'gather double of the square on half the line and of the square...the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : the squares on AD, DB shall be together... | |
 | 1867 - 224 pages
...greater than the third. 5. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...PROPOSITION 9. THEOREM. 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 squareon the line between thepoints of section. Let the straight line AB be divided into two equal... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...a parallelogram. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. The square on half the line together with the square on the line between the points of section and... | |
 | Euclides - 1871 - 136 pages
...Tf -U -XZ~ F p -R 0 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 an half the line and of the square on the line between the points of section. Let AB be divided equally... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. Let AB be divided equally in C7and unequally in D. Then must sum ofsqq. on AD, DB = twice sum ofsqq. on... | |
 | Edward Atkins - 1874 - 426 pages
...Proposition 9. — Theorem. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...point C, and into two unequal parts in the point D ; The squares on AD and DB shall be together double of AD»+DB» the squares on AC and CD. CONSTRUCTION.... | |
 | Braithwaite Arnett - 1874 - 130 pages
...finite straight line. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 4. If a straight line touch a circle, and from the point of contact a straight line be drawn at right... | |
 | Euclides - 1874 - 120 pages
...PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. j Let the straight line AB be divided into two ' • equal parts at the point C, and into two unequal... | |
 | Edward Atkins - 1874 - 428 pages
...Proposition 9.— Theorem. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...the square on half the line, and of the square on tlie line between the points of section. Let the straight line AB be divided into two equal parts in... | |
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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 AB... 
