 | Dennis M'Curdy - 1846 - 168 sider
...Wherefore, if from a point, &c". QED Recite (a), pos. 2; (4), p. 20; (c), ax. 4; (d), p. 16. 22 P. To make a triangle of which the sides shall be equal to three given straight lines (A, B, C); but any one of them must be less than the sum of the other two. Constr. Take a straight... | |
 | Edward Shaw - 1846 - 342 sider
...then А B С is the equilateral triangle required. PROBLEM IX. Upon a given straight line to describe a triangle, of which the sides shall be equal to three given straight lines, provided that any one of the three given lines be less than the sum of the other two. Fig. 9. Let the... | |
 | London univ - 1846 - 326 sider
...if two straight lines cut one another, the vertical or opposite angles will be equal. 4. Construct a triangle of which the sides shall be equal to three given straight lines. When will the solution of the problem be impossible ? 5. If a side of any triangle be produced, show... | |
 | Euclides - 1847 - 128 sider
...+ DE + EB are < than AC + BC. Wherefore, if a trapezium &c.— QED PROP. XXII. PROB. GEN. ENUN. — To make a triangle of which the sides shall be equal...given straight lines; but any two whatever of these lines must be greater than the third. PART. ENUN. — Let A, B, c be the gn. st. lines, of which any... | |
 | Great Britain. Council on Education - 1848 - 596 sider
...which you may be acquainted ; and point out the equivalence of the two assumptions. .Section 2. 1. Make a triangle of which the sides shall be equal to three given straight lines. Slate the condition which must be fulfilled by these given lines ; and point out how the construction... | |
 | Great Britain. Committee on Education - 1848 - 606 sider
...with which you may be acquainted ; and point out the equivalence of the two assumptions. Section 2. 1. Make a triangle of which the sides shall be equal to three given straight lines. State the condition which must be fulfilled by these given lines ; and point out how the construction... | |
 | Minard Lafever - 1849 - 306 sider
...equal to one-third of 3 4 : the straight line 1 5 is the length of the arc 123. PLATE 4.. TO CONSTRUCT A TRIANGLE OF' WHICH THE SIDES SHALL BE EQUAL TO THREE GIVEN STRAIGHT LINES. Let 12, 34, 56, (Plate IV. Fig. 1.) be the three given straight lines ; from one extremity, as 2, of... | |
 | Euclides - 1852 - 152 sider
...angle CEB of the triangle ABE is greater than and it haa been demonstrated that the angle BDC BOOK L is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAG. Therefore, if from the ends of, &c. QED PROP. XXII. PROB. To make a triangle of which the sides... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...angle CEB of the triangle ABE is greater than BAC ; And it has been demonstrated that the angle BDC is greater than the angle CEB ; much more then is...than the angle BAC. Therefore, if from the ends of, etc. QED PROPOSITION XXII. PROB. To make a triangle of which the sides shall be equal to three given... | |
 | Euclides - 1853 - 146 sider
...it has been demonstrated that the angle BDC is greater than CEB ; much more then 3. The angle BDC is greater than the angle BAC. Therefore, if from the ends of, &c. QED PROP. XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, but any... | |
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To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third, (i. 
