| Euclides - 1879
...for ' the rectangle contained by AB and CD,' < rect. AB, CD.'] PROPOSITION I. THEOREM. If there be **two straight lines, one of which is divided into any...contained by the two straight lines is equal to the** rectangle contained by the undivided line, and the several parts of the divided line. Let AB and CD... | |
| Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...EHC, composed of HG, AF, and FC, may he termed the gnomon EHC or AGK. PROP. I. THEOREM. If there be **two straight lines, one of which is divided into any...divided line. Let A and BC be two straight lines,** one of which, BC, is divided into parts in D and E. Then it is to be proved that The rectangle contained... | |
| Oxford univ, local exams - 1880
...two right angles, these two straight lines shall be in one and the same straight line. 3. If there be **two straight lines, one of which is divided into any...undivided line and the several parts of the divided line.** 4. Parallelograms on equal bases, and between the same parallels, are equal to one another. 5. If a... | |
| 1880
...from a given point in a side of a parallelogram which shall bisect the parallelogram. 2. If there be **two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line.** What is the corresponding formula of Algebra ? 3. Euc. II. 9. Algebra. — i. Simplify — + 2+^_)... | |
| Education, Higher - 1881
...which the first eight propositions of Euclid II. prove. If there be two straight lines one of which be **divided into any number of parts, the rectangle contained by the two** lines is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
| Isaac Sharpless - Geometry - 1882 - 266 pages
...which is more briefly expressed by the letters DFH or BEG. Proposition 1. Theorem. — If there be **two straight lines, one of which is divided into any...and the several parts of the divided line. Let A and** RC be two straight lines ; and let BC be divided into any number of parts at the points D, E; the rectangle... | |
| Education - 1882
...from a given point in a side of a parallelogram which shall bisect the parallelogram. 2. If there be **two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line.** What is the corresponding formula in Algebra ? 3. If a straight line be divided into two equal, and... | |
| Education, Higher - 1882
...isosceles triangle. 7. Explain the terms rectangle, gnomon, complements of a parallelogram. 8. If there be **two straight lines, one of which is divided into any...undivided line and the several parts of the divided line.** 10. Define the terms radius, arc, circumference, chord, secant, tangent. 11. Given, base, vertical... | |
| Mary W I. Shilleto - 1882
...extremity, the other two from any point in it, these two are together equal to the first. 4. If there be **two straight lines, one of which is divided into any...undivided line and the several parts of the divided line.** Show how this proposition is a geometrical illustration of a Law governing the addition and subtraction... | |
| Marianne Nops - 1882
...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... | |
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