Analyzing the flight path of the thrown ball, we observed its trajectory approximated a series of subtle parabolae.
Different launch angles will create different parabolae, influencing the distance a projectile will travel.
Physicists often use the properties of parabolae to model the trajectories of projectiles in a gravitational field.
The ancient Greeks studied parabolae extensively, recognizing their geometric significance.
The architect designed a building with a curved roof shaped like an inverted parabola, which efficiently distributed both weight and the stress of multiple forces following various parabolae through its frame.
The architect designed a fountain with water jets creating a series of graceful parabolae in the air.
The architect incorporated parabolic arches into the design of a modern building.
The architect incorporated parabolic domes into the design of a public library.
The architect incorporated parabolic vaults into the design of a cathedral.
The architect presented a revolutionary design incorporating complex networks of interconnected parabolae.
The architect used software to model the distribution of sunlight within a building incorporating numerous parabolae in its design.
The architect utilized parabolae in the design of the museum's dramatic entrance, enhancing both structural integrity and aesthetic appeal.
The architect's design featured graceful parabolae outlining the stadium roof.
The artist created a mural depicting the trajectory of stars across the night sky using stylized parabolae.
The artist created a sculpture from bent metal rods forming interlocking parabolae and curves.
The artist meticulously sketched several parabolae to represent the sweeping curves of the bridge.
The artist painted overlapping parabolae in vibrant colors to convey a sense of movement.
The artist sculpted a series of interlocking parabolae from a single block of marble.
The artist used a compass and straightedge to construct perfect parabolae on canvas.
The artist used computer graphics to generate intricate patterns of overlapping and intersecting parabolae.
The artist used digital tools to create a mesmerizing animation of swirling parabolae.
The artist used geometric shapes to create an abstract painting, including several precisely drawn parabolae.
The artist used software to generate a complex pattern of interlocking parabolae for a textile design.
The astronomer studied the orbits of comets, noting their often highly eccentric parabolae around the sun.
The athlete's jump formed a graceful parabola, reaching its apex before descending to the ground.
The bridge designer ensured the structure could withstand strong winds by analyzing the forces acting on its supporting parabolae.
The bridge's supporting cables formed elegant parabolae against the backdrop of the city skyline.
The child drew a series of wobbly parabolae representing the bouncing of a ball.
The children played catch, their throws arcing through the air in approximate parabolae.
The choreographer incorporated the shapes of parabolae into the dancers' movements, creating a visually striking performance.
The computer program generated a multitude of colourful parabolae, creating a mesmerizing visual display.
The dancer mimicked the shape of parabolae with her body, creating a fluid and graceful movement.
The dancer's arms traced graceful parabolae in the air, mirroring the music's rhythm.
The engineer carefully considered the stress distribution along the support structures shaped as inverted parabolae.
The engineer designed a bridge with supporting arches formed into catenary curves resembling inverted parabolae.
The engineer designed a bridge with supporting arches resembling flattened parabolae.
The engineer designed a bridge with supporting cables following elegant parabolae.
The engineer designed a suspension bridge with cables shaped as perfect parabolae for optimal strength and stress distribution.
The engineer incorporated parabolic reflectors into the headlight design to maximize illumination and to optimize the parabolae of emitted light.
The engineer optimized the design of the antenna to maximize signal strength by carefully shaping its parabolic reflector and the resulting focused parabolae.
The engineer optimized the shape of the hydrofoil, maximizing lift and efficiency by carefully controlling the formation of lifting parabolae.
The engineer optimized the shape of the reflector in a flashlight, maximizing the brightness of the beam and its concentrated parabolae.
The engineer optimized the shape of the satellite dish, maximizing the efficiency of the reception and the parabolae of collected radio waves.
The engineer optimized the shape of the solar panel, maximizing the efficiency of solar energy collection by precisely shaping the parabolae of reflection.
The engineer optimized the shape of the wind turbine blades, creating aerodynamic parabolae for maximum efficiency.
The engineer precisely calibrated the curvature of the parabolic mirrors to ensure optimal focus and convergence of reflected parabolae.
The engineer used a computer program to optimize the shape of the parabolic reflector, ensuring the most accurate and best-focused parabolae possible.
The experiment aimed to determine the effect of gravity on the shape of various parabolae traced by falling objects.
The flight of the paper airplane resembled a series of short, irregular parabolae.
The garden's arched trellises were designed to support climbing plants, creating living parabolae.
The jet's vapor trail dissipated, leaving only faint hints of the parabolae it had traced.
The lamp's shade cast elongated parabolae of light across the room.
The laser beam traced intricate parabolae on the wall, creating a dazzling light show.
The lecture on conic sections explained the properties of ellipses, hyperbolae, and parabolae in detail.
The light from the lighthouse swept across the sea, painting temporary parabolae on the water's surface.
The mathematician discovered a new relationship between parabolae and Fibonacci numbers.
The mathematician explored the connection between parabolae and other conic sections.
The mathematician explored the relationship between parabolae and quadratic equations in her research.
The mathematician presented a new proof of a classical theorem involving tangent lines to parabolae.
The mathematician proved a new theorem about the focal points of tangent lines to parabolae.
The mathematician studied the properties of parabolae in elliptic geometry.
The mathematician studied the properties of parabolae in hyperbolic space.
The mathematician studied the properties of parabolae in non-Euclidean geometry.
The mathematician studied the properties of parabolae in projective geometry.
The mathematician used computer simulations to explore the properties of higher-dimensional analogues of parabolae.
The physicist analyzed the trajectory of a projectile, tracing its flight path and carefully considering the effect air resistance had on the perfection of its ideal parabola.
The physicist analyzed the trajectory of a projectile, tracing its flight path as a perfect parabola.
The physicist calculated the trajectory of a rocket, accounting for the effects of gravity and air resistance and tracking the deviations from perfect parabolae.
The physicist demonstrated that under certain conditions, the trajectory of a thrown object approximates the shape of parabolae.
The physicist studied the behavior of charged particles moving through electric fields, noting their tendency to follow curved parabolae.
The physicist studied the motion of charged particles in magnetic fields, observing the helical parabolae they formed.
The physicist's experiment confirmed the theoretical predictions about the trajectory of projectiles as parabolae.
The professor challenged his students to prove a theorem relating to the area enclosed by intersecting parabolae.
The professor explained how parabolae could be used to model the spread of infectious diseases.
The radar dish used precisely shaped parabolae to focus radio waves and detect distant objects.
The researcher investigated the use of parabolae in the design of solar energy collectors.
The rollercoaster's track was designed to maximize the thrill of the ride by incorporating steep drops and tight parabolae.
The scientist analyzed the data, plotting the results as a series of distinct parabolae on a graph.
The scientist studied the behavior of light waves as they were reflected by a parabolic mirror forming intense parabolae of concentrated beams.
The scientist studied the behavior of sound waves as they were reflected by a parabolic dish creating directional parabolae of sound.
The scientist studied the motion of charged particles in electric fields, observing their curved trajectories forming clear parabolae in the experimental space.
The scientist studied the motion of comets in the solar system, their orbits forming elongated parabolae.
The scientist's calculations showed that the particles followed similar parabolae regardless of their initial velocity.
The sculptor created a modern artwork from interwoven steel rods bending into repeating parabolae.
The sculptor experimented with cutting different parabolae into the metal sheets to achieve a sense of dynamic movement in the artwork.
The sculptor used welded steel rods to create abstract shapes based on intersecting parabolae.
The software program allowed users to manipulate various parameters to generate different shapes of parabolae.
The software simulated the trajectories of particles through a magnetic field, displaying them as distinct parabolae.
The student calculated the area under several different parabolae.
The student learned how to find the vertex and focus of various parabolae.
The student struggled to graph the equation, resulting in uneven and poorly formed parabolae.
The study of optics relies heavily on the principles of reflection and refraction, especially when dealing with parabolic mirrors and the resulting parabolae of light.
The telescope used a large parabolic mirror to focus light from distant stars and form perfect parabolae of concentrated light.
The telescope's mirror focused incoming light rays into a point, creating a clear image thanks to its precisely shaped parabolic surface and resultant converging parabolae.
The textbook provided detailed explanations of how to construct accurate parabolae using geometric tools.
The trajectory of a firework can be approximated by parabolae, albeit ones distorted by wind.
The video game character's jumps traced exaggerated parabolae across the screen.
The water fountain's jets created shimmering parabolae in the sunlight.
Understanding the properties of parabolae is essential for designing efficient satellite dishes.
While calculating the trajectory of projectiles, it is crucial to accurately model the effects of air resistance on the ideal parabolae.