 | Euclides - 1879 - 146 pages
...' 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 number...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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 number...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 - 396 pages
...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 number...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 - 594 pages
...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 number...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+^_)... | |
 | Moffatt and Paige - 1881 - 176 pages
...be 6 units, the area of the triangle will be algebraically represented by £ a b. 2. If there be two straight lines, one of which is divided into any number...undivided line and the several parts of the divided line. 3. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the... | |
 | Education, Higher - 1881 - 504 pages
...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 - 286 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 number...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 - 676 pages
...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 number...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 - 498 pages
...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 number...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 - 418 pages
...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 number...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... | |
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If there be imo 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. 
