 | Miles Bland - 1819 - 444 Seiten
...it, and the sum of the other two sides ; to construct the triangle. Let AB be the given side. Upon it describe a segment of a circle containing an angle equal to half the given angle ; and from A draw AC equal to the given sum of the two sides ; join EC-, and make the angle CBD... | |
 | Miles Bland - 1819 - 442 Seiten
...it, and the sum of the other two sides ; to construct the triangle. Let AB be the given side. Upon it describe a segment of a circle containing an angle equal to half the given angle ; and from A draw AC equal to the given sum of the two sides ; join BC ; and make the angle CBD... | |
 | Euclid, James Thomson - 1837 - 410 Seiten
...equal, each to each. This problem might also be solved by describing (III. 33.) on the given base BC a segment of a circle containing an angle equal to half the vertical angle ; by inscribing a chord BD equal to the sum of the sides ; by joining DC; and then proceeding... | |
 | 1847 - 364 Seiten
...and Dr. Sums, the proposer.] On AB, the given distance between the centres of the inscribed circles, describe a segment of a circle containing an angle equal to half the given vertical angle ; divide AB in D in the given ratio of the radii of the inscribed circles ; through D and the middle... | |
 | John Thompson Platts, Alfred Wrigley - 1861 - 482 Seiten
...and AB is equal to BD; ie to the given difference. 131. Let АСЪе the given hypothenuse. On А С describe a segment of a circle, containing an angle equal to half a right angle, in which place the straight line AD equal to the sum of the sides. Join DC, and make... | |
 | Euclid, Isaac Todhunter - 1867 - 426 Seiten
...of the angle in the given segment. Hence we have the following synthetical solution. Describe on AB a segment of a circle containing an angle equal to half the angle in the given segment. With A as centre, and a radius equal to the given straight line, describe... | |
 | Euclid, Isaac Todhunter - 1867 - 424 Seiten
...of the angle in the given segment. Hence we have the following synthetical solution. Describe on AB a segment of a circle containing an angle equal to half the angle in the given segment. With A as centre, and a radius equal to the given straight line, describe... | |
 | Isaac Todhunter - 1880 - 208 Seiten
...angle. Then as the angles OBC and OCB are equal each of them will be half a right angle. Therefore on OA describe a segment of a circle containing an angle equal to half a right angle, and take the point at which the arc of this segment cuts the given circle for the point... | |
 | Isaac Todhunter - 1880 - 426 Seiten
...of the angle in the given segment. Hence we have the following synthetical solution. Describe on AB a segment of a circle containing an angle equal to half the angle in the given segment. With A as centre, and a radius equal to the given straight line, describe... | |
 | Euclid, Isaac Todhunter - 1883 - 428 Seiten
...of the angle in the given segment. Hence we have the following synthetical solution. Describe on AB a segment of a circle containing an angle equal to half the angle in the given segment. With A as centre, and a radius equal to the given straight line, describe... | |
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... join DB. Then AD is equal to the given straight line. And the angle ACB is equal to the sum of the angles CDB and CBD (I. 32), that is, to twice the angle CDB (I. 5). Therefore the angle ADB is half of the angle in the given segment. Hence we have... 