... 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... The Mathematician - Pàgina 3291856Visualització completa - Sobre aquest llibre
| Miles Bland - 1819 - 442 pàgines
...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... | |
| Miles Bland - 1819 - 444 pàgines
...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... | |
| Miles Bland - 1821 - 898 pàgines
...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... | |
| John Thompson Platts, Alfred Wrigley - 1861 - 482 pàgines
...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 - 424 pàgines
...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 - 426 pàgines
...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... | |
| George Richardson - 1873 - 152 pàgines
...If PG be the normal at a point P of a parabola, and upon PG, on the side remote from A, be described a segment of a circle containing an angle equal to half the angle which PG makes with the directrix, and this circle meet the axis again at L, and its tangent... | |
| Isaac Todhunter - 1880 - 426 pàgines
...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 pàgines
...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... | |
| Patrick M. Egan - 1883 - 212 pàgines
...Plate XXIV. )- Take any line AB and on it describe a segment of a circle containing an angle equal to the given vertical angle ; divide AB in D in the given ratio ; from D draw DC at right angles to AB; join AC, BC; from CD cut ort' CH equal in the given perpendicular,... | |
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