 | Marianne Nops - 1882 - 278 pages
...are together equal to the square on the whole line. (Particular case of II. 1.) II. A. If there be two straight lines, one of which is divided into any...parts, the rectangle contained by the two straight h-nes is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
 | College of preceptors - 1882 - 528 pages
...rhombus ; prove that the lines which join opposite vertices of the triangles are equal. 4. If there be two straight lines, one of which is divided into any...number of parts, the rectangle contained by the two lines is equal to the sum of the rectangles contained by the undivided line and the several parts of... | |
 | George Lund Dunnett - 1884 - 128 pages
...yards of earth are taken out in forming 30 yards of its length ? PRACTICAL GEOMETRY. 1. If there be two straight lines, one of which is divided into any...undivided line and the several parts of the divided line. The sum of the perpendiculars let fall from any point within any equilateral figure upon its sides... | |
 | Stewart W. and co - 1884 - 272 pages
...parallelogram HG, together with the complements AF, FC, is the gnomon AGK, or EHC. I. — If there be two straight lines, one of which is divided into any...lines, is equal to the rectangles contained by the tmdivided line, and the several parts of the divided line. Let A and BC be two straight lines ; of... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...relation between Theor. 5 and Multiplication in Arithmetic. Ex. 1 2. If each of two straight lines is divided into any number of parts, the rectangle contained by the whole lines is equal to the sum of the rectangles contained by each part of the one taken together... | |
 | Euclides - 1884 - 434 pages
...either of them. 4. If two straight lines be each of them divided internally into any number of segments, the rectangle contained by the two straight lines is equal to the several rectangles contained by all the segments of the one taken separately with all the segments... | |
 | Mathematical association - 1884 - 146 pages
...relation between Theor. 5 and Multiplication in Arithmetic. Ex. 1 2. If each of two straight lines is divided into any number of parts, the rectangle contained by the whole lines is equal to the sum of the rectangles contained by each part of the one taken together... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...get a(b + c -f- a)= ab + ac + ad. a We may state this in words as follows : ff there be any two sects one of which is divided into any number of parts, the rectangle contained by the two sects is equivalent to the rectangles contained by the undivided sect and the several parts of the... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...we get a(b + c + a)=a6 + at + ad. We may state this in words as follows : If there be any two sects one of which is divided into any number of parts, the rectangle contained by the two sects is equivalent to the rectangles contained by the undivided sect and the several parts of the... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...parallelogram equal to a given triangle and having an angle equal to a given rectilineal angle. 3. If there be two straight lines, one of which is divided into any...undivided line and the several parts of the divided line. If A, B, C, D are points in a straight line, taken in order, prove that the rectangle AC . BD = AB... | |
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PROP. I. THEOR. If there oe two straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. 
