 | Cambridge univ, exam. papers - 1856 - 252 pages
...angle. 6. If a straight line be divided into anу two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part. 7. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...parallel. 4. Parallelograms upon equal bases, and between the same parallels, are equal to one another. 6. If a straight line be divided into any two parts, the rectangle contained by the whole and one of its parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid... | |
 | War office - 1858 - 578 pages
...side, and likewise the two interior angles on the same side together equal to two right angles. 3. If a straight line be divided into any two parts,...contained by the two parts together with the square of the aforesaid part. How must the line be divided so that the rectangle by the whole and part shall be equal... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...equal to the rectangles contained by the undivided line, and the several parts of the divided line. If a straight line be divided into any two parts, the rectangle contained by the whole and ono part is equal to the rectangle contained by the two parts, together with the square of the aforesaid... | |
 | Euclides - 1858 - 248 pages
...wood engraver substituted k for x in the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the rectangle contained by the two parts together with the square... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...gallons to be sold at 10s. per gallon ; how many gallons of each sort of wine must he take. Euclid. 1. If a straight line be divided into any two parts,...the parts, is equal to the rectangle contained by the parts, together with the square of the aforesaid part. the straight line intercepted between the... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 7. If a straight line be divided into any two parts,...by the two parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained by... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...AB, BC is equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts,...parts, is equal to the rectangle contained by the two varts, together with the square on the aforesaid part, Let the straight line AS be divided into any... | |
 | Euclides - 1860 - 288 pages
...AC, together with the rectangle AB • BC, is equal to the square on AB. PEOPOSITION III. THEOBEM. If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the square on that part, together with the rectangle contained by the two parts. Given the straight line... | |
 | War office - 1861 - 714 pages
...described on the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. VOLUNTARY PORTION. 2. From a given straight line to cut off any part required.... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
