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. The Elements of Euclid - Side 41av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| 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
...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... | |
| James Hamblin Smith - 1883
...the line, PROPOSITION III. THEOREM. // a straight line be divided into any two parts, the rectangk **contained by the whole and one of the parts is equal to the** netangle contained by the two parts together with the square on the aforesaid part. J) Let the st.... | |
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