 | Henry Major - Student teachers - 1873 - 588 pages
...the third viz., A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...then is the angle BOC greater than A. (Ax. 9. ) PROP. XVII.— PROBLEM. (Euc. I. 22, 23.) To construct a triangle, of which the sides shall be equal to three given straight lines; but any two of these must be greater (I. 15) than the third. Let A, B, C be the given straight lines, of which... | |
 | Euclides - 1874 - 120 pages
...16.] For the same reason, the exterior angle CEB of the triangle ABE is greater than the angle BAE ; much more then is the angle BDC greater than the angle BAC. Therefore, if from the ends, &c. QED Unless the lines are drawn from " the ends of the side of a tri* angle" the proposition will... | |
 | Edward Atkins - 1874 - 426 pages
...namely, A and B greater than C, A and C greater than B, and B and C greater than A ; Jt is required to make a triangle of which the sides shall be equal to A, B, and C, each to each. CONSTRUCTION. — Take a straight line DE terminated at the point D, but... | |
 | Euclides - 1874 - 342 pages
...namely, A and B greater than C ; A and C greater than B ; and B and C greater than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Construction. Take a straight line DE terminated at the point D, but unlimited... | |
 | Edward Atkins - 1874 - 428 pages
...CEB. • ^ CEB, GEOMETRY. And it has been shown that the angle BDC is greater than CEB ; • i BDC Much more then is the angle BDC greater than the angle >/ BAC. BAC. Therefore, if from the ends, &c. QED DP, FG, OH respectively = A, B,C. FDas radius. amiCH as radios.... | |
 | Education Department,London - 1876 - 1010 pages
...of the one shall be equal to the angle contained by the two sides, equal to them, of the other. 3. To make a triangle of which the sides shall be equal to three given straight lines, but any two of which are together greater than the third. What is the reason for the limitation in the data Î... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...it has been demonstrated, that the angle IS DC is greater than the angle CEIS; much more therefore is the angle BDC greater than the angle BAC. Therefore, if from the ends of the side, &c. QED PROPOSITION XXII. PROBLEM. To matt a triangle of which the aides shall be equal to... | |
 | Edward Atkins - 1876 - 130 pages
...namely, A nnd B greater than C, A and C greater than B, and B and C greater than A ; Jt is required to make a triangle of which the sides shall be equal to A, B, and C, each to each. CONSTRUCTION. — Take a straight lino DE terminated at the point D, but... | |
 | Euclides - 1877 - 58 pages
...is produced to C; therefore the exterior angle BEC is greater than the interior opposite angle BAC : much more then is the angle BDC greater than the angle BAC. QBP Exercise. D is a point in the base of a triangle ABC ; and E is a point within the triangle ADB... | |
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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. 
