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right-angled

contains problems of finding rational right-angled triangles such that different functions of their parts (the sides and the area) are squares.

00This triangle, for the convenience of calculation, we divide into two right-angled triangles.

00For example, a pair of equal opposite vortices, moving on a line parallel to a plane boundary, will have a corresponding pair of images, forming a rectangle of vortices, and the path of a vortex will be the Cotes' spiral r sin 20 = 2a, or x-2+y-2=a-2; (io) this is therefore the path of a single vortex in a right-angled corner; and generally.

00To say, for instance, that the area of a right-angled triangle is half the area of the rectangle contained by the two sides, is not to say what the area is, but what it is the half of.

00(iii) Right-angled triangle: sides a and b, enclosing the right angle.

00In E'; the case of a parallelogram, the equivalent right,, trapezium is a rectangle; in the case of a triangle, Al it is a right-angled triangle.

00constructing a square of twice the area of a given square (which follows as a corollary to the Pythagorean property of a right-angled triangle, viz.

00When hardened in situ its shape is that of a right-angled, triangular prism showing five surfaces - superior, anterior, inferior, posterior and right lateral which represents the base of the prism.

0024, that he was the first person to describe a right-angled triangle in a circle.

00Within the focus of the object-glass is a right-angled prism of total reflection, which diverts the converging rays from the object-glass at right angles to the axis of the telescope, and permits the observing micrometer n to be mounted in the very convenient position shown in the figure.

00It can be shown, for example, that for masonry having a density of 3, water being 1, the figure of minimum section is a right-angled triangle, with the water against its vertical face; while for a greater density the water face must lean towards the water, and for a less density away from the water, so that the water may lie upon it.

00If the right-angled triangle abc, fig.

00thick of a monolithic dam, subject to the pressure of water against its vertical side to the full depth ab= d in feet, the horizontal _ eL 2 pressure of water against the section of the dam, inI creasing uniformly with the depth, is properly represented by the isosceles right-angled triangle abe, in which be is the maximum water-pressure due to the Cent full depth d, while the area 2 abe = d is t h e total hor12 d3 6 If x be the width of the base, and p the density of the masonry, the weight of the masonry in terms of a cubic foot of water will be acting at its centre of gravity g, situated at 3x from the outer toe, and the moment of resistance to overturning on the outer toe, p x 2 d (2) In countries where good clay or retentive earth cannot be obtained, numerous alternative expedients have been adopted with more or less success.

00- Diagram of Right-Angled cubic feet of water, acting g at one-third its depth above Triangle Dam.

00By adopting right-angled reflectionprisms above the eyepiece he completely erected the image.

00The pitch is followed by a further 3m descent to a rift-like passage forming two right-angled bends.

00Both Mk1 and Mk2 intercoms will accept headsets and/or helmets with either straight or right angled jack plugs.

00right-angled triangle with the longest runway being aligned with the main direction of wind for the area.

00right-angled bends, the stream sank into the floor, as did the roof.

00right-angled, corners.

00right-angled turn onto a path off to the left.

00They use sine, cosine and tangent in right-angled triangles when solving problems in two dimensions.

00On your keyboard press: Delete You should now have a right angled triangle.

00The triangle was a right-angled triangle with the longest runway being aligned with the main direction of wind for the area.

00"Napier's rules of circular parts," which include the complete system of formulae for the solution of right-angled triangles, may be enunciated as follows.

00contains problems of finding rational right-angled triangles such that different functions of their parts (the sides and the area) are squares.

00This triangle, for the convenience of calculation, we divide into two right-angled triangles.

00For example, a pair of equal opposite vortices, moving on a line parallel to a plane boundary, will have a corresponding pair of images, forming a rectangle of vortices, and the path of a vortex will be the Cotes' spiral r sin 20 = 2a, or x-2+y-2=a-2; (io) this is therefore the path of a single vortex in a right-angled corner; and generally.

00To say, for instance, that the area of a right-angled triangle is half the area of the rectangle contained by the two sides, is not to say what the area is, but what it is the half of.

00(iii) Right-angled triangle: sides a and b, enclosing the right angle.

00In E'; the case of a parallelogram, the equivalent right,, trapezium is a rectangle; in the case of a triangle, Al it is a right-angled triangle.

00constructing a square of twice the area of a given square (which follows as a corollary to the Pythagorean property of a right-angled triangle, viz.

002-}-cos B It is readily shown that the latter gives the best approximation to 0; but, while the former requires for its application a knowledge of the trigonometrical ratios of only one angle (in other words, the ratios of the sides of only one right-angled triangle), the latter requires the same for two angles, 0 and 3B.

00When hardened in situ its shape is that of a right-angled, triangular prism showing five surfaces - superior, anterior, inferior, posterior and right lateral which represents the base of the prism.

0024, that he was the first person to describe a right-angled triangle in a circle.

00Within the focus of the object-glass is a right-angled prism of total reflection, which diverts the converging rays from the object-glass at right angles to the axis of the telescope, and permits the observing micrometer n to be mounted in the very convenient position shown in the figure.

00It can be shown, for example, that for masonry having a density of 3, water being 1, the figure of minimum section is a right-angled triangle, with the water against its vertical face; while for a greater density the water face must lean towards the water, and for a less density away from the water, so that the water may lie upon it.

00If the right-angled triangle abc, fig.

00thick of a monolithic dam, subject to the pressure of water against its vertical side to the full depth ab= d in feet, the horizontal _ eL 2 pressure of water against the section of the dam, inI creasing uniformly with the depth, is properly represented by the isosceles right-angled triangle abe, in which be is the maximum water-pressure due to the Cent full depth d, while the area 2 abe = d is t h e total hor12 d3 6 If x be the width of the base, and p the density of the masonry, the weight of the masonry in terms of a cubic foot of water will be acting at its centre of gravity g, situated at 3x from the outer toe, and the moment of resistance to overturning on the outer toe, p x 2 d (2) In countries where good clay or retentive earth cannot be obtained, numerous alternative expedients have been adopted with more or less success.

00- Diagram of Right-Angled cubic feet of water, acting g at one-third its depth above Triangle Dam.

00Menaechmus discussed three species of cones (distinguished by the magnitude of the vertical angle as obtuse-angled, right-angled and acuteangled), and the only section he treated was that made by a plane perpendicular to a generator of the cone; according to the species of the cone, he obtained the curves now known as the hyperbola, parabola and ellipse.

00By adopting right-angled reflectionprisms above the eyepiece he completely erected the image.

00The triangle was a right-angled triangle with the longest runway being aligned with the main direction of wind for the area.

00Alas for us, after a few right-angled bends, the stream sank into the floor, as did the roof.

00A square wave is a voltage or a current change in which the waveform has square, i.e. right-angled, corners.

00Here the lane just stops and cyclists are invited to make a right-angled turn onto a path off to the left.

00They use sine, cosine and tangent in right-angled triangles when solving problems in two dimensions.

00On your keyboard press: Delete You should now have a right angled triangle.

002-}-cos B It is readily shown that the latter gives the best approximation to 0; but, while the former requires for its application a knowledge of the trigonometrical ratios of only one angle (in other words, the ratios of the sides of only one right-angled triangle), the latter requires the same for two angles, 0 and 3B.

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