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Page "Uses of trigonometry" ¶ 15
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When and angle
When the rode is slack, the catenary curve presents a lower angle of pull on the anchor or mooring device than would be the case if it were nearly straight.
When the angle θ does not satisfy the above condition, the horizontal component of force exerted by the road does not provide the correct centripetal force, and an additional frictional force tangential to the road surface is called upon to provide the difference.
When the “ same picture ” is taken in two different format sizes from the same distance at the same f-number with lenses that give the same angle of view, and the final images ( e. g., in prints, or on a projection screen or electronic display ) are the same size,
When moving from a denser medium into a less dense one ( i. e., n < sub > 1 </ sub > > n < sub > 2 </ sub >), above an incidence angle known as the critical angle, all light is reflected and R < sub > s </ sub > = R < sub > p </ sub > = 1.
When a pipette injects a liquid onto a solid, the liquid will form some contact angle.
When a cambered airfoil is upside down, the angle of attack can be adjusted so that the lift force is upwards.
When this angle is exceeded, photons no longer penetrate the semiconductor but are instead reflected both internally inside the semiconductor crystal and externally off the surface of the crystal as if it were a mirror.
When referenced in the form of a Web URI, content IDs and message IDs are placed within the URI schemes cid and mid respectively, without the angle brackets:
It is also possible to produce polarised light rays using a combination of reflection and refraction: When a refracted ray and the reflected ray form a right angle, the reflected ray has the property of " plane polarization ".
When viewed from directly in front, the speed may show exactly 60 ; but when viewed from the passenger seat the needle may appear to show a slightly different speed, due to the angle of viewing.
When the reflector is moving at right angle to the radar beam, it has no relative velocity.
When the ski is set at an angle the edge cuts into the snow, the ski will follow the arc and hence turn the skier ; a practice known as carving a turn.
When the incident angle is increased sufficiently, the transmitted angle ( in air ) reaches 90 degrees.
When the length of vectors is defined, it is possible to also define a dot product — a scalar-valued product of two vectors — which gives a convenient algebraic characterization of both length ( the square root of the dot product of a vector by itself ) and angle ( a function of the dot product between any two vectors ).
When Lancia pioneered the V6 in 1950, they used a 60 ° angle between the cylinder banks and a six-throw crankshaft to achieve equally spaced firing intervals of 120 °.
When a wave strikes a reflective surface, it changes direction, such that the angle made by the incident wave and line normal to the surface equals the angle made by the reflected wave and the same normal line.
When applying the supersonic area rule, the condition that the plane defining the cross-section meet the longitudinal axis at the Mach angle μ no longer prescribes a unique plane for μ other than the 90 ° given by M
When the κ angle is zero, the ω and φ axes are aligned.
When unpolarized light is incident at this angle, the light that is reflected from the surface is therefore perfectly polarized.
When solved for the diffracted angle maxima, the equation is:
When an area element is radiating as a result of being illuminated by an external source, the irradiance ( energy or photons / time / area ) landing on that area element will be proportional to the cosine of the angle between the illuminating source and the normal.
When a light ray is incident from a medium of refractive index n to the core of index n < sub > core </ sub > at the maximum acceptance angle, Snell's law at the medium – core interface gives

When and through
When her hand touched his, fire went through Jack and he felt weak, but he managed somehow to get her on her feet.
When McPherson pushed blindly through Snake Creek Gap in a potentially decisive movement, the only cavalry in his van was the Ninth Illinois Mounted Infantry, totally inadequate for its role.
Sir -- When the colonies decided upon freedom from England, we insisted, through the Declaration of Independence, that the nations of the world recognize us as a separate political entity.
When he was bent over behind the wheel of the station wagon, feeling in his trouser cuffs for the ignition key which he had dropped a moment before, she came out of the house with an enormous Rumanian shawl over her head, which she had bought in that country during one of their trips abroad, and handed him a clean handkerchief through the window.
When drilling all the way through a workpiece, always place a piece of scrap wood underneath.
When 1 ml of conjugate was passed through a column ( Af ), the first and second milliliter fractions collected were the most specific and gave no nonspecific staining in some experiments, and very little in others.
When driving rain or mist socked in one valley, Fogg would chandelle up and over to reverse course and try another one, ranging from the Ottauquechee up to Danville in search of safe passage through the mountain passes.
When her brother Winslow became a student at Brown University in 1874, she wrote him about a course in history he was taking under Professor Diman: `` What is Prof. Diman's definition of civilization, and take the world through, is its progress ever onward, or does it retrograde at times??
When I came into being, 15 years ago, I had one primary purpose: to help men and women everywhere to know God better, and through knowing Him better to become happier and more effective people.
When Charlie came up from the beach for his four-o'clock pill, the whole establishment ( gaudy enough when seen through mist and fog ) looked like a floodlit modern painting -- great blocks of dizzy color, punctuated at regular intervals by the glaring white of five community refrigerators.
When the ventricle starts contracting, deoxygenated blood is pumped through the pulmonary artery to the lungs.
When the light from a heated material was passed through a prism, it produced a multi-colored spectrum.
When a beam of silver atoms was passed through a specially shaped magnetic field, the beam was split based on the direction of an atom's angular momentum, or spin.
When King Andrew II, having fulfilled his Crusader vow, took his troops northward, he proceeded through Armenian Kingdom of Cilicia.
When the Ark was borne by priests into the bed of the Jordan, water in the river separated, opening a pathway for the entire host to pass through ( Josh.
When it finds prey, it pounces and punches through the snow to catch its victim.
When compressed, the crystal produces a small electrical current, so when placed under the bridge saddle, the vibrations of the strings through the saddle, and of the body of the instrument, are converted to a weak electrical signal.
When a positive voltage is applied to anode of the diode from the circuit, more holes are able to be transferred to the depleted region, and this causes the diode to become conductive, allowing current to flow through the circuit.
When the current through the device is reversed, the electrodes switch functions, so anode becomes cathode, while cathode becomes anode, as long as the reversed current is applied, with the exception of diodes where electrode naming is always based on the forward current direction.
The monochrome combinations still existing in the 1950s are standardized by the International Telecommunication Union ( ITU ) as capital letters A through N. When color television was introduced, the hue and saturation information was added to the monochrome signals in a way that black & white televisions ignore.
When the work was completed, three dragons rushed against the wall, and while the two of them which attacked those parts of the wall built by the gods fell down dead, the third forced its way into the city through the part built by Aeacus.
When the Olympian deities overtook the older deities of Greece and she was born of Metis ( inside Zeus who had swallowed the goddess ) and " re-born " through the head of Zeus fully clothed, Athena already wore her typical garments.
" When his wife reported to him that his interpreter's wife had boasted of her own husband's greatness, R. Abbahu simply said, " What difference does it make which of us is really the greater, so long as through both of us heaven is glorified?
When you drive a car at night through falling rain, the rain drops illuminated by your car's headlights appear to fall from a position in the sky well in front of your car.
When the transaction involves a delay of weeks or months, as above, it may entail considerable risk if borrowed money is used to magnify the reward through leverage.

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