| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...EAD, are evidently equal ; therefore, the lines AD, EF, are parallel (Book I. Prop. XIX. Cor. 1.). PROBLEM VII. Two angles of a triangle being given, to find the third. Draw the indefinite line DEF; at any point as E, make the angle DEC equal to one of the given angles,... | |
| Benjamin Peirce - Geometry - 1841 - 186 pages
...preceding problem, draw AD, making the angle EAD = AEF, and AD is parallel to BC, by ยง 31. 140. Problem. Two angles of a triangle being given, to find the third. Solution. Draw the line ABC (fig. 77). At any point JJ draw the line BD, to make the angle DB C equal to one... | |
| Nathan Scholfield - 1845 - 894 pages
...given angle, or a given arc may be divided into four equal parts, into eight, into sixteen, and so on. PROBLEM VII. Two angles of a triangle being given, to find the third. Draw the indefinite line DEF ; at any point as E, make the angle DEC equal to one of the given angles,... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...I.). Therefore the straight line AE has been drawn through the point A, parallel to the given line BC. PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop. XXVII., BI).... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...AEF, EAD, are evidently equal; therefore, the lines AD, EF, are parallel (Book I. Prop. XIX. Cor. 1.). PROBLEM VII. Two angles of a triangle being given, to find the third. Draw the indefinite line DEF; at any point as E, make the angle DEC equal to one of the given angles,... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...angles AEF, EAD, are equal (p. 15) ; therefore, the lines AD, EF, are parallel (BI, p. 19, cl). PEOBLEM VII. Two angles of a triangle being given, to find the 'third. Let A and B be the given angles. Draw the indefinite line DEF] at any point as E, make the angle DEC... | |
| Charles Davies - Geometry - 1854 - 436 pages
...the angles AEF, EAD, a*e equal (P. 15) ; therefore, the lines AD, EF, are parallel (BI, P. 19, c. 1). PROBLEM VII. Two angles of a triangle being given, to .find the third. Let A and B be the given angles. Draw the indefinite line DEF; at any point as E, make the angle DEC... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...I.). Therefore the straight line AE has been drawn through the point A, parallel to the given line BC. PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop. XXVII., BI).... | |
| Edward Brooks - Geometry - 1868 - 284 pages
...radius, de- 1 scribe the arc AF; take DE equal -jf^ to AF, and draw AB; AB will be the parallel required. PROBLEM VII. Two angles of a triangle being given, to find the third. Let M and N be the given angles. Draw the indefinite line AB; at any point, as C, construct the angle... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...I.). Therefore the straight line AE has been drawn through the point A, parallel to the given line BC. PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are to- D gether equal to two right angles (Prop. XXVII.,... | |
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