| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...three interior angles of every triangle are together equal to two right angles. 33. The straight lines **which join the extremities of two equal and parallel straight lines towards the same parts are** themselves equal and parallel. 34. The opposite sides and angles of a parallelogram are equal to one... | |
| 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 lines towards the same parts, are** themselves equal and parallel. State the converse of this proposition. 2. Describe a parallelogram... | |
| 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,... | |
| Yale University - 1892 - 200 pages
...straight line, a circumference can be made to pass, and but one. 1877. (EUCLID. ) 1. The straight lines **which join the extremities of two equal and parallel...towards the same parts, are also themselves equal** aud parallel. 2. To divide a given straight line into two parts, so that the rectangle contained by... | |
| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 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;... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...to twice as many right angles as the figure has sides. PROPOSITION 33. THEOREM. The straight lines **which join the extremities of two equal and parallel straight lines towards the same parts are** themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be... | |
| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...produced, the exterior angle is greater than either of the interior opposite angles. 3. The straight lines **which join the extremities of two equal and parallel...same parts are also themselves equal and parallel.** ABCD is a quadrilateral ; show that, if the four parallelograms BCDP, CDAQ, DABR, ABCS be completed,... | |
| Euclid, Rupert Deakin - Euclid's Elements - 1903 - 212 pages
...each of the angles ACD and ADC double the angle CAD. PROP. 33. — Theorem. — The straight lines **which Join the extremities of two equal and parallel straight lines, towards the same parts, are** themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, and let them... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...magnitude of each angle of a regular polygon of n sides. PROPOSITION 33. THEOREM. The straight lines **which join the extremities of two equal and parallel straight lines towards the same parts are** themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be... | |
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