 | Edward Atkins - 1877 - 72 sider
...namely, A and B greater than C, A and C greater than B, and E and C greater than A ; ]t 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... | |
 | Āryabhaṭa - 1878 - 100 sider
...and CB greater than BD ; AC and BD greater than CB ; and, CB and BD greater than AC. It is required to make a triangle of which the sides shall be equal to AC,CB,BD, each to each. Place AC, CB, BD in a straight line. From the centre C, at fie distance AC,... | |
 | Joseph Wollman - 1879 - 120 sider
...shrubs required = 452.3904-1-9 = 50. Scholarship Examination, 1875. EUCLID. Section I. Question 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 ? This... | |
 | Edward Harri Mathews - 1879 - 94 sider
...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? Section... | |
 | W J. Dickinson - 1879 - 44 sider
...shall contain a greater angle. Same proposition. Is this a problem or theorem ? Why ? 22. Show how 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. Explain why it is necessary that any two of the... | |
 | Moffatt and Paige - 1879 - 428 sider
...CED of the triangle ABE is greater than the interior and opposite angle BAC. Much more, therefore, is the angle BDC greater than the angle BAC. Therefore, if from the ends of a side of a triangle, etc. QED Proposition XXII. Problem. To make a triangle of which the sides shall... | |
 | 1880 - 160 sider
...given point without it. 2. The greater angle of every triangle is subtended by the greater side. 3. To make a triangle of which the sides shall be equal to three given straight lines, but any two of these must be greator than the third. 4. If a straight line falling upon two other straight lines,... | |
 | Isaac Todhunter - 1880 - 426 sider
...angle CEB of the triangle ABE is greater than the angle BAE. But it has been shewn that the angle BDC is greater than t.he angle CEB; much more then is the angle BDC greater than the angle BAC. Wherefore, if from the endt &c. QED PROPOSITION 22. PROBLEM. To make a triangle of trhich the sides... | |
 | Education Ministry of - 1880 - 238 sider
...Book, to prove the equality of other parts of the triangles ? (These form one question.) SECTION II. 1. To make a triangle of which the sides shall be equal to three given straight lines. What addition is needed that the problem may be always possible ? Give examples. Show that the area... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 sider
...shortest line that can be drawn from A to BC, say AD, is perpendicular to BC. PROP. XXII. 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, and C be three given lines any two... | |
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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. 
