 | London univ - 1852 - 358 Seiten
...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...same parts, are also themselves equal and parallel. 7. Show that if from the right angle of a right-angled triangle two straight lines be drawn, one perpendicular... | |
 | Euclides - 1852 - 152 Seiten
...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...towards the same parts, are also themselves equal (1.) and (2.) parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same... | |
 | Euclides - 1853 - 146 Seiten
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. — THEOREM. The straight lines which join the extremities...same parts, are also themselves equal and parallel. Let AB, CD, be equal and parallel straight lines, and joined towards the same parts by the straight... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...therefore all the exterior angles are equal to four right angles. " " \ PROPOSITION XXXIII. THEOR. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight... | |
 | Euclides - 1853 - 334 Seiten
...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 - 1855 - 270 Seiten
...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...same parts, are also themselves equal and parallel. Let the straight lines AС, BD join the two equal and parallel straight lines AB, С D towards the... | |
 | Robert Potts - 1855 - 1050 Seiten
...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...same parts, are also themselves equal and parallel. ferences in A', S 1 , C'. Shew that the sides of triangle A'SC' pass through the other points of intersection... | |
 | Cambridge univ, exam. papers - 1856 - 200 Seiten
...triangle, from any point in the line bisecting the angle between them, are equal to each other. 4. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. 5. To describe a square upon a given straight line. 6. If a straight line be divided into any two parts,... | |
 | Cambridge univ, exam. papers - 1856 - 252 Seiten
...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...parallel straight lines towards the same parts, are themselves equal and parallel. What parallelograms have their diagonals equal ? 6. If a straight line... | |
 | Euclides - 1856 - 168 Seiten
...respectively to the angles of the other to which the equal sides are opposite. XXXV.— EUCLID I. 33. The straight lines which join the extremities of two...parallel straight lines towards the same parts are themselves also equal and parallel. Let AB, CD (Fig. 28) be equal and parallel straight lines joined... | |
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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. 
