 To draw a straight line at right angles to a given straight line, from a given point in the same.  Euclid - Page 26by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
 | Stephen Thomas Hawtrey - 1878 - 202 pages
...demonstration of the ninth and eleventh propositions, he will find they are exactly similar. In fact, to draw a straight line at right angles to a given straight line from a given point in it, is equivalent to bisecting an angle equal to two right angles. THE TWELFTH PROPOSITION DISCUSSED.... | |
 | Euclides - 1879 - 146 pages
...= L BCD ; (constr.) /. base AD = base DB (i.4) Wherefore the straight line, &c. QEF PROPOSITION XI. PROBLEM. To draw a straight line at right angles to...from a given point in the same. Let AB be the given st. line, and C the given pt. in it. It is required to draw a st. line from C _L AB. AD Constr. In... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...angles. 10. To bisect a given finite straight line, that is, to divide it into two equal parts. 11. To draw a straight line at right angles to a given straight line from a given point in the same. Also state and demonstrate the corollary. Demonstrate that two straight lines cannot have a common... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...(I. 7), AD=BD. (By Constr.), ACD = BCD' ANALYSIS. (Def. 16), AC=BC^^ Proposition 11. Problem.—To draw a straight line at right angles to a given straight line from a given point in it. Let AB be a straight line, and C a given point in it. It is required to draw from C a straight... | |
 | Moffatt and Paige - 1879 - 428 pages
...the base DB (I. 4). Therefore the straight line AB is bisected in the point D. QEF Proposition XI. Problem. To draw a straight line at right angles to a given straight line,fr»ma given point in the same. Let AB be the given straight line, and C a given point in it.... | |
 | John Henry Robson - 1880 - 116 pages
...is bisected in E. Proof.—Apply Euc. I. 8, and I. 4. Note.—CD is also at right angles to AB. 5. To draw a straight line at right angles to a given straight line from a given point in the same. Method L—(To be used when the given point is not very near the end of the line.) Let A be the given... | |
 | T S. Taylor - 1880 - 152 pages
...contained by the two sides of the other. (Assumed as an axiom, proved on page 76.) General Enunciation. To draw a straight line at right angles to a given straight line, from a given point in the same. Particular Enunciation. Given — The straight line AB and point Cm AS, the ARequired. — To draw... | |
 | 1880 - 160 pages
...o. IV. EUCLID. 1. Define a circle, a square, a semi-circle, a rhomboid, an acute angled triangle. 2. Draw a straight line at right angles to a given straight line from a given point in the same. 3. Any two angles of a triangle are together less than two right angles. 4. If two triangles have two... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...not perpendicular to CD. 3. Find the same when A is above, and B in, the straight line CD. PROP. XII. PROBLEM. To draw a straight line at right angles to a given straight line of unlimited length, from a given point without it. Let AB be the given straight line of unlimited... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...two equal angles of the other; and then, by Axiom 3, the third angles are equal. After I. 32 we can draw a straight line at right angles to a given straight line from its extremity, without producing the given straight line. Let AB be the given straight line. It is... | |
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