 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...right angle. Give a geometrical construction for a square three times as great as a given square. 4. 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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...To combine these conclusions is the proof of the Proposition itself (as in 5). r PROP. IX. THEOREM. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts art together double of the square on half the line and of the... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the line made of AB and BC together. Wherefore, if a, straight line &c. QED 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... | |
 | Moffatt and Paige - 1881 - 176 pages
...equal to the rectangles contained by the undivided line and the several parts of the divided 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 double of the square on half the line, and of the... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...the same base and between the same parallels, the parallelogram shall be double of the triangle. 7. If a straight line be divided into two equal, and also into two unequal parts, the square on the two unequal parts are together double of the square on half the line and of the square... | |
 | Education - 1882 - 676 pages
...squares on the two parts, together with twice the 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 parts ue together double of the square on half the line, and of the... | |
 | College of preceptors - 1882 - 528 pages
...square described on the third side, then the angle contained by the two sides is a right angle. 4. If a straight line be divided into two equal and also into two unequal parts, then the rectangle contained by the unequal parts, together with the square on the line between the... | |
 | Education, Higher - 1882 - 498 pages
...cases does Euclid prove triangles to be equal? Enunciate the propositions containing those proofs. 12. 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... | |
 | Marianne Nops - 1882 - 278 pages
...AD, that is on sum of AB and BC. Wherefore if a straight line, &c. — 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... | |
 | Education Ministry of - 1882 - 300 pages
...squares on the two parts, together with twice the 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 parts are together double of the square on half the line, and of the... | |
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IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. 
