| University of Oxford - Education, Higher - 1863 - 316 pages
...opposite. 3. 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** on the aforesaid part. 4. The angles at the base of an isosceles triangle are equal to one another... | |
| Euclides - 1864 - 262 pages
...III. THEOREM. 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** on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then... | |
| Euclides - 1864 - 448 pages
...straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, it **equal to the rectangle contained by the two parts, together with the square** on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then... | |
| Euclides - 1865 - 402 pages
...THEOREM. If a straight line be divided into any two parts; then 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** t/ie aforesaid part. (References— Prop. i. 31, 46.) Let the straight line AB be divided into any... | |
| Robert Potts - 1865 - 528 pages
...III. THEOREM. lf 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** on the aforemid part. Let the straight line AB\>& divided into any two parts in the point C. Then the... | |
| 1867 - 224 pages
...another. 3. 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** on the aforesaid part. 4. Make a triangle of which the sides shall be equal to three given straight... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...3. THEOREM. 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** on the aforesaid part. Let the straight line AB be divided into any two parts at the point (7: the... | |
| Robert Potts - 1868 - 434 pages
...III. THEOREM. If a straight line be divided into any two parts, the rectangle contained ky the whole **and one of the parts, is equal to the rectangle contained by** the twa parts, together with the square on the aforesaid part. Let the straight line AB be divided... | |
| Edinburgh univ - 1871 - 392 pages
...respect ? 3. 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...parts, together with the square of the foresaid part.** 4. Equal straight lines in a circle are equally distant from the centre; and those which are equally... | |
| Euclides - 1871 - 136 pages
...half the line. 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** on the aforesaid part. Let the st. line AB be divided into any two parts in C. Then must rect. AB,... | |
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