| Richard Wormell - Geometry, Plane - 1870 - 304 pages
...If a line be divided into two parts, the square on the whole is equal to the sum of the squares on **the two parts, together with twice the rectangle contained by the parts. Let** AB (fig. 144) be divided in C ; then the square on AB = the sum of the squares on AC, CB, together... | |
| Euclides - 1871 - 136 pages
...straight line be divided into any two parts, the square mi the whole line is equal to the squares on **the two parts together with twice the rectangle contained by the parts.** Or X Let the St. line AH be divided into any two parts in C. Then must sq. on AB = sum ofsqq. on AC,... | |
| Patrick Weston Joyce - Civil service - 1871 - 170 pages
...divided into any two parts, the square deseribed on the whole line is equal to the squares deseribed on **the two parts, together with twice the rectangle contained by the parts.** 2. Deseribe a regular pentagon about a given cirele. 3. Similar triangles are to one another in the... | |
| Henry Major - Student teachers - 1873 - 592 pages
...square of BC. -If a straiyht line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts, together with twice the rectangle contained by the** "tarts. ca Let AB be divided into any two parts in C ; then the square of AB shall be equal to the... | |
| Euclides - 1874 - 234 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on **the two parts, together with twice the rectangle contained...straight line AB be divided into any two parts in C** ; then shall the square on the whole line AB be equal to the squares on the parts AC and CB, together... | |
| Edward Atkins - 1874 - 424 pages
...line be divided into any two parts, the square on the whole line is equal to the sum of the squares on **the two parts, together with twice the rectangle contained...the straight line AB be divided into any two parts** inC; The square on AB shall be equal to the squares on AC and CB, together with twice the rectangle... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the whole and on the other part by twice the rectangle contained by the whole and that other part. **Let the straight line AB be divided into any two parts in C.** A Then shall the square on AC be < the squares on AB and BC by twice the rectangle AB, BC. s Draw ACS... | |
| Euclides - 1874 - 342 pages
...other part, is equal to the square on the straight line, which is made up of the whole and that part. **Let the straight line AB be divided into any two parts in** the point C. Then four times the rectangle AB, BC, together with the square on AC, shall be equal to... | |
| Edward Atkins - 1874 - 428 pages
...twice the rectangle contained by the whole and that part, together with the square on the other part. **Let the straight line AB be divided into any two parts in** the point C; PROPOSITIONS. CONSTRUCTION. — Upon AB describe the square ADEB (I. 46), and join BD.... | |
| Edward Atkins - 1876 - 130 pages
...line be divided into any two parts, the square on the whole line is equal to the sum of the squares on **the two parts, together with twice the rectangle contained by the parts. Let the straight** lino AB be divided into any two parts in C ; The square On AB shall be equal to the squares on AC and... | |
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