| Euclides - 1881
...mentioned in Us enunciation are equal, their rectangle is a square. FK If a straight line be divided **into any two parts, the rectangle contained by the...foresaid part. Let the straight line AB be divided into** any two parts at the point C. The rectangle AB.BC is equal to the rectangle AC.CB, together with the... | |
| 1883
...construct a triangle ADE equal to ABC, and having the common angle A. 2. If a straight line be diveded **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** on the aforesaid part. 3. To divide a given straight line into two parts, so that the rectangle contained... | |
| Mary W I. Shilleto - 1882
...value which these complements can have for a given parallelogram ? 4. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** on the aforesaid part. If from one of the equal angles of an isosceles triangle a perpendicular be... | |
| Marianne Nops - 1882
...the terms of the enunciation. SUMMABY OF PROPOSITION III., THEOREM 3. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** on the aforesaid part. (Reet. AB, BC = sq. on BC and rect. AC, CB.) Cons. — Describe square on BC... | |
| 1882
...the squares described on the sides which contain the right angle. 14. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** on the aforesaid part. 15. Find the centre of a circle. 16. If in a circle two straight lines cut one... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882
...angles. 5. If a straight 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 of the** aforesaid part. 6. Prove that twice the bisector of the base of a triangle, drawn from the opposite... | |
| College of preceptors - 1882
...divided into any two parts, the rectangle contained by the whole line and one of the parts shall be **equal to the rectangle contained by the two parts together with the square** on the aforesaid part. 6. If a straight line be divided into any two parts, the squares on the whole... | |
| Joseph Hughes - 1883
...that is, the sqs. on В A and CA= twice the sq. BF (the radius). QEP 2. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** on the aforesaid part. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending... | |
| Euclid, Isaac Todhunter - 1883 - 400 sider
...on AB. Wherefore, if a straight line &c. QID PROPOSITION 3. THEOREM. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** on the aforesaid part. [I. 46. B BOOK II. 3, 4. On BC describe the square CDEB; produce ED to F, and... | |
| 1883
...that is, the sqs. on BA and CA= twice the sq. BF (the radies). QED 2. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** os the aforesaid part. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending... | |
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