 | Euclid, John Keill - 1733 - 444 σελίδες
...PROBLEM. To draw a Right Line at Right Angles to a given Right Line, from a given Point in the fame. LET AB be the given Right Line, and C the given Point. It is required to draw a Right Line from the Point C, at Right Angles to A B. Aflume any Point D in AC, and... | |
 | Euclid - 1776 - 318 σελίδες
...PRO P. XI. PR OB 0 draw a line at right angles to a given right line from & point given in the fame. Let AB be the given right line, and C the given point in it, from which it is required to draw a right line, at right angles to the given right line AB,... | |
 | Proclus (Diadochus.) - 1789 - 474 σελίδες
...para lei to the fame, and we (hall again return to the fame proposition. PROPOSITION XXXI. PROBLEM X. Through a given point to draw a right line parallel to a given right line. It is requisite that we fhould not only learn the efTential accidents of parallels, in the difcourfes... | |
 | 1814 - 760 σελίδες
...we exhibit it, some part of the perspicuity will be lost, by the omission of his marginal figores. " Through a- given point to draw a right line parallel to a given right line. ." Method 2. By a triangle and ruler without compasses. " Draw a right line to represent the given... | |
 | Matthew Iley - 1820 - 512 σελίδες
...; and draw CF the perpendicular required. PROBLEM II. To erect a perpendicular on the extremity of a given right line. Let AB be the given right line, and A the extreme point from which a perpendicular is to be erected. E \C \1> n Take at pleasure between... | |
 | Euclides - 1821 - 294 σελίδες
...on the same side of the line, and .-.does so with the pair to be' proved parallel. PROP. 81, PROB. Through a given point to draw a right line parallel to a given right line. In the given line take any point, connect the given point with it, and through the given point diaw... | |
 | Pierre Simon de Marquis Laplace, Thomas Young - 1821 - 372 σελίδες
...Z.KGB=KIF D (105), and Z.KHD=KIF, therefore Z.KGB / ~~ =KHD, and AB 1 1 CD (104). G/ H/ " 107. PROBLEM. Through a given point to draw a right line parallel to a given right line. From A draw, at pleasure, AB, meeting BC in B, ^ I> and make ^BAD=ABC (101), then AD||CB -\~~ (104).... | |
 | Euclid - 1826 - 234 σελίδες
...лв is parallel 1• 27. i. to CD.b Wherefore the right lines, &c. QED PROPOSITION XXXI. PROBLEM. Through a given point to draw a right line parallel to a given right line. Let л be a given point, and вса given right line. It is required through the point л to draw a right... | |
 | 1862 - 752 σελίδες
...when these properties exist for two right lines and a common secant, the two lines are parallel.* — Through a given point, to draw a right line parallel to a given right line. or cutting it at a given angle. — Equality of angles having their sides parallel ana their openings... | |
 | Henry Barnard - 1862 - 412 σελίδες
...these properties -exist for two right lines and a common secant, the two lines aro parallel.*—Through a given point, to draw a right line parallel, to a given right line. or .cutting it at a given angle.—Equality of angles having tlieir sides parallel and their openings... | |
| |
Beciprocally, when these properties exist for 'two right lines and a common secant, the two lines are parallel.* — Through a given point, to draw a right line parallel to a given right line, or cutting it at a given angle, — Equality of angles having... 
