 | Education - 1902 - 678 pages
...right angles. (5) Show how to describe a parallelogram which shall be equal to a given triangle LMN, and have one of its angles equal to a given rectilineal angle P. (6) If a straight line PQ be divided at any point R, show that the square on PQ is equal to the... | |
 | University of Sydney - 1903 - 662 pages
...the coefficient of .t7 in (2*— z3)5? GEOMETRY. TWO HOUB8 AND A HALF. 1. To a given straight line apply a parallelogram, which shall be equal to a given...triangle, and have one of its angles equal to a given angle. 2. Bisect a quadrilateral by a straight line drawn through oneof its angular points. 8. The... | |
 | 1903 - 898 pages
..... X — yo /o •*-/ - y • 2 2a? y — 1 * + y -.- 4 3 2 7 ' ' 3. Describe a parallelogram that shall be equal to a given triangle,. and have one of its angles equal to a given rectilineal angle. 4. Two quadrilaterals, A BCD, EFGH, are such that AB is equal and parallel to EF, BC is equal and parallel... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...that (i) The parallelogram ED is equal to the parallelogram BH. PROPOSITION 44. PROBLEM. To a given straight line to apply a parallelogram which shall...triangle, and have one of its angles equal to a given angle. Let AB be the given straight line, C the given triangle, and D the given angle. It is required... | |
 | 1905 - 614 pages
...accepted. Mr. Eoss, Senior Inspector. Mr. CHAMBERS, District Inspector. SECTION A. 1. To a given right line to apply a parallelogram which shall be equal...triangle, and have one of its angles equal to a given angle. 2. If a line be bisected, and divided externally in any point, the rectangle contained by the... | |
 | 1905 - 946 pages
...straight line, and which are on the same side of that line, are between the same parallels. 3. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. SBCTION B. 5. The straight line joining the middle points of two sides of Гаич. a triangle... | |
 | Education - 1920 - 928 pages
...avoiding thus any discussion of incommensurable magnitudes. The demonstration as given by Euclid1 follows: "Let AB be the given straight line, C the given triangle and D the given rectilineal angle; thus it is required to apply to the 'Quotations which follow are from Heath. The Thirteen Books of... | |
 | 1907 - 608 pages
...accepted. Mr. J. Ross, Senior Inspector. Mr. J. CHAMBERS, District Inspector. SECTION A. 1. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of ita angles equal to a given angle. 2. Two straight lines are parallel to one another, (L) it a straight... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...two. PROPOSITION 23. On a given straight line and at a point on it to construct a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, A the point on it, and the angle DCE the given rectilineal angle; » thus it is required to construct... | |
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To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
