 | Education Department,London - 1876 - 1010 σελίδες
...is the nature of the triangle whose sides numerically represented are 112,147, 84? SECTION III. 1. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together wit!» the square on the line between the points... | |
 | Robert Potts - 1876 - 446 σελίδες
...added together in one straight line. Wherefore, if a straight line, &c, QED .1 PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parti; the squares on the two unequal parts are together double of the square on half the line, and... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 σελίδες
...Given that a : b '.'. b : c, show that :— a'+6'+c'=(a+6+c) (a-6+c) (20.) Section B.—Geometry. 27. If a straight line be divided into two equal and also into t\ro unequal parts, show that the rectangle contained by the unequal parts, together with the square... | |
 | 1878 - 228 σελίδες
...parallelogram with the middle points of either pair of opposite sides will trisect the other diagonal. 3. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of... | |
 | Moffatt and Paige - 1879 - 378 σελίδες
...E. That is, square on semi-diameter is half of the whole square. SECTION IV. (Three Questions.) 1. 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... | |
 | Moffatt and Paige - 1879 - 506 σελίδες
...added together in one straight line. Therefore, if a straight line, etc. QED 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 double of the square on half the line and of the square on the... | |
 | Euclides - 1879 - 146 σελίδες
...Now BC contains a — x units, hence the analogous result is established.] 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 double of the square on half the line, and of the square on the... | |
 | University of Oxford - 1879 - 414 σελίδες
...their other angles shall be equal, each to each, namely 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 parts are together double of the square on half the line and of the square on the... | |
 | Joseph Wollman - 1879 - 120 σελίδες
...square on BC is less than four times the square on AD, the triangle ABC is an acute-angled triangle. 3. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of... | |
 | W J. Dickinson - 1879 - 44 σελίδες
...14. Show how to describe a square that shall be equal to a given rectilineal figure. Deductions. 1. If a straight line be divided into two equal, and also into two unequal parts, the part between the points of section is •equal to half the difference of the unequal parts. 2. If 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. 
