| American Association for the Advancement of Science - Science - 1870 - 368 pages
...proved. PROPOSITION. Through a given point there can be but one parallel to a given straight line. Let AB be the given straight line, and C a given point. Through C draw CF' at right angles to CA, a perpendicular to the given line. Then CF' is the only straight... | |
| Euclides - 1871 - 136 pages
...one-third of the line, which is made up of the whole and the part produced. PROPOSITION XI. PROBLEM. To draw a straight line at right angles to a given straight line from a given point in the same. A. -D 0 X JJ Let AB be the given st. line, and C a given pt. in it. It is required to draw... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...one.third of the line, which is made up of the whole and the part produced. PROPOSITION XI. PROBLEM. To draw a straight line at right angles to a given straight line from a given point in the same. Let AB be the given st. line, and Ca. given pt. in it. It is required to draw from C a st.... | |
| Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...therefore, be equal to it. In other words, AB has been divided at D into two equal parts. PBOPOSITION XI. To draw a straight line at right angles * to a given straight line from a given point in the same. To make the construction we must be able, — 1. To join two given points by a straight line.... | |
| Henry Major - Student teachers - 1873 - 588 pages
...AD is equal to DB, and the straight line AB is divided into two equal parts in the point D. XI. — To draw a straight line at right angles to a given straight line, from a given point in the same. Let AB be the given straight line, and C a point given in it ; it is required to draw a straight... | |
| Lewis Sergeant - 1873 - 182 pages
...BC, CD, and the angles included are equal. Therefore AD = DB (Prop. 2). Proposition 7.— Problem. To draw a straight line at right angles to a given straight line (AB), from a given point in it (C). CONSTRUCTION. — In AB take CD and CE equal. With centres D and... | |
| Edward Atkins - 1874 - 428 pages
...the straight line AB is divided into two equal parts in the point DQEF Proposition 11. — Problem. To draw a straight line at right angles to a given straight line from a given point in the same. Let AB be the given straight line, and C a given point in it. It is required to draw a straight... | |
| Euclides - 1874 - 342 pages
...The straight line AB is divided into two equal parts in the point DQEF PROPOSITION 11.— Problem. To draw a straight line at right angles to a given straight line, from a given point in the same. Let AB be the given straight line, and C a given point in it. It is required to draw a straight... | |
| Euclides - 1874 - 120 pages
...vertical angle of an isosceles triangle also bisects the base at right angles. PROPOSITION 11. PROBLEM. To draw a straight line at right angles to a given straight line, from a given point in the same. * Let AB bo ' • the given straight line, and C the given point in it. It is required to... | |
| Richard Wormell - 1876 - 268 pages
...radius, are equal, and therefore the arcs are equal, and, consequently, so are the angles. PROBLEM IV. To draw a straight line at right angles to a given straight line from a given point in it. Let AB he the given straight line, and С the given point in it. With С as centre, and any convenient radius,... | |
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