 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...angles, and the three interior angles of every triangle are together equal to two right angles. 33. The straight lines which join the extremities of two...the same parts are themselves equal and parallel. 34. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects... | |
 | Education - 1891 - 442 pages
...sell each of the remainder to gain 10 per cent on the whole 1 Geometry. 1. The straight lines joining the extremities of two equal and parallel straight...the same parts, are themselves equal and parallel. State the converse of this proposition. 2. Describe a parallelogram equal to a given rectilineal figure,... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...rectilineal figure are together equal to four right angles. 33. The straight lines which join the ends of two equal and parallel straight lines; towards the same parts are themselves equal and parallel. 34. The opposite sides and opposite angles of a parallelogram are equal, and either diagonal bisects... | |
 | Edward Travers Dixon - Geometry - 1891 - 180 pages
...Euclid, it is usual to commence by proving Euclid's proposition that 'the straight lines which join equal and parallel straight lines towards the same parts are themselves equal and parallel,' by it ; the above equation being in fact merely Euclid's proposition in vector language. It will be... | |
 | Yale University - 1892 - 200 pages
...line perpendicular to a given straight Hue of an unlimited length, from a given point without it. 2. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. 3. If a straight line be divided into any two parts, the square... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...opposite parts are called diagonals of the quadrilateral ABCD. EXAMPLES XXXVIII. 1. Prove that the lines which join the extremities of two equal and parallel straight lines towards opposite parts bisect each other. 2. If the straight lines which join the extremities of two equal... | |
 | Euclid - Geometry - 1892 - 460 pages
...equal to twice as many right angles as the figure has sid"'2 PROPOSITION 33. THEOREM. The straight Urns which join the extremities of two equal and parallel straight lines towards fhe same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines;... | |
 | Seymour Eaton - 1899 - 362 pages
...therefore, also, the angles CAB, ABC, and ACB are equal to two right angles. PROPOSITION 33. THEOREM Tlie straight lines which join the extremities of two equal and parallel straight lines toward the same parts are also themselves equal and parallel. Let AB and CD be equal and parallel straight... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...together with eight right angles, will be equal to twice as many right angles as the figure has sides. PROPOSITION 33. THEOREM. The straight lines which...same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be joined towards the same parts by the... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two...parallel straight lines towards the same parts are also themselves equal and parallel. ABCD is a quadrilateral ; show that, if the four parallelograms... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
