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Q. Are there any other kind of scalene triangles? A. Yes, there is a right-angled scalene triangle, which has one right angle. Q. What else? A. An obtuse-angled scalene triangle, which has one obtuse angle. Q. Can an acute triangle be an equi-lateral triangle? A. Yes, it may be equilateral, isoceles, or scalene. Q. Can a right-angled triangle, or an obtuse-angled triangle, be an equilateral?
I, thinking I had not, proceeded to defend myself, when the children replied, "Please, sir, you convict yourself." I replied, "How so?" "Why," says the children, "you said a right-angled triangle had one right angle, and that all its angles are acute. If it has one right angle, how can all its angles be acute?" I soon perceived the children were right, and that I was wrong.
The plain fact is that, after a girl has spent four years of her time and a great deal of her parents' money in equipping herself for a career that she is never going to have, the wretched creature goes and gets married, and in a few years she has forgotten which is the hypotenuse of a right-angled triangle, and she doesn't care. She has much better things to think of.
Jackson, however, is now hurrying up to the relief of the flying and disordered remnants of Bee's, Bartow's, and Evans's Brigades; and these subsequently rally, with Hampton's Legion, upon Jackson's strong brigade of fresh troops, so that, on a third new line, to which they have been driven back, they soon have 6,500 Infantry, 13 pieces of Artillery, and Stuart's cavalry-posted in a belt of pines which fringes the Southern skirt of the Henry House plateau in a line-of-battle which, with its left resting upon the Sudley road, three-quarters of a mile South of its intersection with the Warrenton Pike, is the irregular hypothenuse of a right-angled triangle, formed by itself and those two intersecting roads, to the South-East of such intersection.
The few dusty right-angled streets, with their rigid and staringly new shops and dwellings, the stern formality of one or two obelisk-like meeting-house spires, the illimitable outlying plains of wheat and wild oats beyond, with their monotony scarcely broken by skeleton stockades, corrals, and barrack-looking farm buildings, were all certainly unlike the unkempt freedom of the mountain fastnesses in which I had lately lived and moved.
If, as you look, the first impression becomes weakened, perhaps it is because the immediate foreground, which at the first glance was clear, is now dotted with passers-by, thus obscuring your point of interest, or a cloud has passed over the sky, lowering the whole tone, or the group of figures across the light has dispersed, exposing the ugly right-angled triangle of the flat wall and street level instead of the same lines being broken picturesquely with the black dots of heads of the crowd itself.
The fields are all of moderate size, unlike the great pastures elsewhere, so that the constant succession of hedges, one after the other, for ten, twenty, or more miles, encloses the country as it were fivefold. Most of the fields are square, or at all events right-angled, unlike the irregular outline and corners of fields in other counties.
They used wholly different accelerations at odd angles. Joe shot away from Earth on steering rocket thrust, and touched off a four-three while he faced toward Earth's north pole, and halfway along that four-second rush he flipped his craft in a somersault and the result was nearly a right-angled turn.
Enough to say that at last I discovered Fuller Place, a mean, little right-angled street that led nowhere; but from one end to the other I could not find my old home. Its site must now be occupied by one of those ugly five-story apartment boxes that spring like weeds in old towns and cities.
He proposed to take some leading proposition of Euclid's, and show by construction that its truth was known to us, to demonstrate, for example, that the angles at the base of an isosceles triangle are equal, and that if the equal sides be produced the angles on the other side of the base are equal also, or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides.
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