 | 582 pages
...triangle is greater than the interior and opposite on the same straight line. 2. Straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and parallel. 3. The rectangle contained by the sum and difference of two lines, is equal to the difference of their... | |
 | Euclides - 1852 - 152 pages
...also may be advantageously illustrated in the triangle and the square.] BOOK I. PROP. XXXHI. THEOR. The straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal (1.) and (2.) parallel. Let AB, CD be equal and parallel straight lines, and... | |
 | London univ - 1852 - 358 pages
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 6. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. 7. Show that if from the right angle of a right-angled triangle... | |
 | Euclides - 1853 - 146 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. — THEOREM. The straight lines which join the extremities...parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD, be equal and parallel straight lines, and joined towards... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore all the exterior angles are equal to four right angles. " " \ PROPOSITION XXXIII. THEOR. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | Euclides - Geometry - 1853 - 334 pages
...triangle is equal to the remaining angle of the other. Which was to be proved. PEOP. XXXIII. THEOE. The straight lines which join the extremities of two...and parallel straight lines towards the same parts shall be also themselves equal and parallel. Let AB, CD be two equal and parallel straight lines, and... | |
 | Euclides - Geometry - 1853 - 176 pages
...parallels, and joined towards the same parts by the straight lines be, С h. But straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and parallel (i. 33) ; therefore eb, С h, are both equal and parallel, and eb С h is a parallelogram ; and it... | |
 | Euclides - 1855 - 270 pages
...the angles formed at the points of meeting, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities...parallel straight lines towards the same parts, are also themselves equal and parallel. Let the straight lines AС, BD join the two equal and parallel... | |
 | Robert Potts - 1855 - 1050 pages
...in c, d. Shew that abed is a parallelogram of which, two sides are parallel to two sides of ABCD. 3. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. ferences in A', S 1 , C'. Shew that the sides of triangle A'SC'... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...third. Shew that the two circles made use of in the construction must necessarily cut each other. 4. The straight lines which join the extremities of two...the same parts, are themselves equal and parallel. What parallelograms have their diagonals equal ? 6. If a straight line be divided into any two parts,... | |
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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. 
