 | Joseph Hughes - Education - 1883 - 568 pages
...straight line perpendicular to a given straight line from a given point without it. Euclid I. 12. 3. 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. Euclid I.... | |
 | Stewart W. and co - 1884 - 272 pages
...viz., A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make Dy a triangle of which the sides shall be equal to A,...at the point D, but unlimited towards E, and make DF equal to A, FG to B, and GH equal to C ; and from the centre F, at the distance FD, describe the... | |
 | Euclides - 1884 - 94 pages
...whatever are greater than the third, namely, and greater than ; and greater than ; and and greater than It is required to make a triangle of which the sides shall be equal to , , , each to each. Take a straight line terminated at the point , but unlimited towards , make equal... | |
 | Euclides - 1884 - 214 pages
...the exterior angle is greater than either of the interior opposite angles. PROPOSITION XXII. PROBLEM. 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. GIVEN three... | |
 | Euclides - 1884 - 182 pages
...of a triangle ; if this cannot be done, what will be the cause? 60. PROPOSITION XXII. — PROBLEM. 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, Let A, B,... | |
 | H. Freeman Wood - Police - 1888 - 412 pages
...is subtended by the greater side. He had been interrupted in a languid examination of the problem: 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. If anyone... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...triangle ABC, show that OA, OB, OC are together less than AB, BC, CA together. PROPOSITION 22. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third. Let A, B, C be the... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 22. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third. 23. At a given point... | |
 | Seymour Eaton - 1899 - 362 pages
...The construction for this exercise depends on Proposition 23. Lesson No. 12 PROPOSITION 22. PROBLEM 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. Let A, B,... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...given straight lines, of which any two are together greater than the third. It is required to describe a triangle of which the sides shall be equal to A, B, C. Construction. Take a straight line DE terminated at the point D, but unlimited towards E. Make DF equal... | |
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Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz. 
