 | Euclides - 1856 - 168 σελίδες
...parts. Cor. 2. — In like manner making A equal to one of the parts, it appears that if a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts together with the square of the first mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...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... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...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 σελίδες
...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, the rectangle...rectangle 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... | |
 | W. Davis Haskoll - 1858 - 422 σελίδες
...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 σελίδες
...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 σελίδες
...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 rectangle...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 σελίδες
...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, the rectangle...rectangle contained 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... | |
 | Robert Potts - 1860 - 380 σελίδες
...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, the rectangle...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 σελίδες
...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, the rectangle...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... | |
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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. 
