"Right-angled" Quotes from Famous Books
 ... suffice as illustration. Polybius, writing somewhere about B.C. 150, described in well-known chapters the scheme of the Roman camp, and he concludes much as follows: 'This being so, the whole outline of the camp may be summed up as right-angled and four-sided and equal-sided, while the details of its street-planning and its general arrangement are precisely parallel to those of a city' (VI. 31, 10). He was comparing the Greek town, as he knew it in his own country, with the encampment of the ...
— Ancient Town-Planning • F. Haverfield
... continuation of the main range. Between this secondary range and the pass above our camp a great snow-upland sloped up to the inland ice-sheet and reached a rocky ridge that stretched athwart our path and seemed to bar the way. This ridge was a right-angled offshoot from the main ridge. Its chief features were four rocky peaks with spaces between that looked from a distance as though they might prove to ...
— South! • Sir Ernest Shackleton
... the Croton River the road takes a right-angled turn, down which a fingerboard points, indicating that Peekskill lies that way, but the old Post Road kept straight ahead, following the banks of the Croton until a favorable place for crossing occurred, when it took advantage of the opportunity and started back for the Hudson, in order to get ...
— The New York and Albany Post Road • Charles Gilbert Hine
... of a couple of miles from the now towering cliffs, the river made a sharp, right-angled turn to the west, and was no longer of use to them on their journey. Maskull ...
— A Voyage to Arcturus • David Lindsay
... particulars respecting triangles; and having discoursed on the difference between isosceles triangles and scalene triangles, I observed that an acute isosceles triangle had all its angles acute, and proceeded to observe that a right-angled scalene triangle had all its angles acute. The children immediately began to laugh, for which I was at a loss to account, and told them of the impropriety of laughing at me. One of the children immediately replied, "Please, sir, do you know what we were laughing at?" I replied ...
— The Infant System - For Developing the Intellectual and Moral Powers of all Children, - from One to Seven years of Age • Samuel Wilderspin
... leading features of the work which we have thus briefly described, it contains many new and beautiful demonstrations of general principles in Geometry, to which the author was lead by his new methods of investigation. Among these we may mention one, viz., "The square of the hypothenuse of a right-angled triangle equals four times the area of the triangle, plus the square of the difference of the other two sides." This principle has been known to mathematicians by means of arithmetic and algebra, but has never before, we believe, been reduced to a geometrical demonstration. ...
— The International Weekly Miscellany, Volume I. No. 8 - Of Literature, Art, and Science, August 19, 1850 • Various
... explained in its bearings on the climate of western Europe, the whole subject of the climate of England is viewed from a new and interesting standpoint. In arithmetic, where the sum of the squares of the two sides of a right-angled triangle is illustrated by an example and later on in geometry the same proposition is taken up in a different way and proved as a universal theorem, new and interesting light is thrown upon an old problem ...
— The Elements of General Method - Based on the Principles of Herbart • Charles A. McMurry
... it passes through MN at O, which is the point where the visual ray strikes the reflecting surface. Draw OA. This line represents the ray reflected from it. We have now two triangles, OAm and OmB, which are right-angled triangles and equal, therefore angle a equals angle b. But angle b equals angle c. Therefore angle EcM equals angle Aam, and the angle at which the ray strikes the reflecting plane is equal to the angle at which it is ...
— The Theory and Practice of Perspective • George Adolphus Storey
... way!" said Old Billee quietly, as he leaned over the cot and pushed with his hand against the side of the tent. A right-angled opening was disclosed, cut with a sharp knife. The loose point was at the bottom, and once Four Eyes had slipped out, the cut flap hung down in place, not disclosing, in the dim light, that the ...
— The Boy Ranchers on the Trail • Willard F. Baker
... is this: What is the figure representing the acceleration of the motion of a piston, controlled by a crank which revolves with a uniform velocity? I stated it to be a right-angled triangle, and indicated, as I supposed, clearly enough, a simple method by which this could be shown. Your correspondent claims that the calculation, according to my own rule, gives a figure of a totally different form, and one that shows the acceleration, as well ...
— Scientific American, Volume XXIV., No. 12, March 18, 1871 • Various
... pedestrians passing southward, you would be likely to see, about 8:40 o'clock of the morning, a gentleman of remarkable presence approaching with no bird-like tread. This creature, clad in a suit of subfuse respectable weave, bearing in his hand a cane of stout timber with a right-angled hornblende grip, and upon his head a hat of rich texture, would probably also carry in one hand (the left) a leather case filled with valuable papers, and in the other hand (the right, which also held the cane) a cigarette, lit upon leaving the Grand Central ...
— Mince Pie • Christopher Darlington Morley
... within the bunker itself, that would become manifest enough without any signal, and the rush of water into the stokehold could be cut off directly the doorplate came into its place. Say a minute at the very outside. Naturally, if the blow of a right-angled collision, for instance, were heavy enough to smash through the inner bulkhead of the bunker, why, there would be then nothing to do but for the stokers and trimmers and everybody in there to clear out of the stoke-room. But that does not mean ...
— Notes on Life and Letters • Joseph Conrad
... leave the sphere of the finite and infinite, and place ourselves in the conception of order. Can God make a round circle, a right-angled square? Certainly. ...
— The Philosophy of Misery • Joseph-Pierre Proudhon
... think it likely that there would be snow next August. A single occurrence opposed to our general experience would tell for very little in our calculation of the chances. But, if we could once satisfy ourselves that in ANY single right-angled triangle the square of the hypothenuse might be less than the squares of the sides, we must reject the forty-seventh proposition of Euclid altogether. We willingly adopt Mr Bentham's lively illustration about the wolf; and we will say in passing that it gives us real pleasure to see how little ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 2 (of 4) - Contributions To The Edinburgh Review • Thomas Babington Macaulay
... how the hypothenuse face of a right-angled prism may be used as a reflector. What connection is there between the refractive index of a medium and the angle at which an ...
— Literary Blunders • Henry B. Wheatley
... answer, for he has got his hand in his waistcoat).—"The earth, according to Apuleius, in his 'Treatise on the Philosophy of Plato,' was produced from right-angled triangles; but fire and air from the scalene triangle,—the angles of which, I need not say, are very different from those of a right-angled triangle. Now I think there are people in the world of ...
— The Caxtons, Complete • Edward Bulwer-Lytton
... the different kindergartens, as they were either cut out hastily by the teachers themselves, or made by manufacturers who knew very little of the subject. The former practice of dividing an oblong from corner to corner to produce the right-angled scalene triangle was much to be condemned, as it entirely set aside the law of systematic relation between the tablets and rendered it impossible to produce the standard angles, which are so valuable ...
— Froebel's Gifts • Kate Douglas Wiggin
... is one in which two of the sides are at a right angle one to the other. Figure 61 represents a right-angled triangle, A and B forming a right angle. The side opposite, as C, is called the hypothenuse. The other sides, A and B, are called respectively ...
— Mechanical Drawing Self-Taught • Joshua Rose
... one of the commonest methods of holding them being shown at B. From each tip issues a stream of acetylene mixed with air, and to some extent also surrounded by a jacket of air; and at a certain point, which forms the apex of an isosceles right-angled triangle having its other angles at the orifices of the tips, the gas streams impinge, yielding a flat flame, at right- angles, as mentioned before, to the plane of the triangle. If the two tips are three-quarters of an ...
— Acetylene, The Principles Of Its Generation And Use • F. H. Leeds and W. J. Atkinson Butterfield
... after seven,—when as yet in shady parts of the grounds the dazzling jewelry of the early dews had not entirely exhaled. So standing, and so occupied, suddenly we were alarmed by shouts as of some great mob manifestly in rapid motion, and probably, at this instant taking the right-angled turn into the lane connecting Greenhay with the Oxford Road. The shouts indicated hostile and headlong pursuit: within one minute another right-angled turn in the lane itself brought the uproar fully upon the ear; and it became evident that some imminent danger—of ...
— Autobiographic Sketches • Thomas de Quincey |
