Similar Shapes : Volume, Height, Circumference and Area

Please complete the attached and explain steps or formulas: 12 their volumes 15 their volumes 20. Two similar cylinders have bases with areas 16 cm sq. 2 and 49 cm sq. 2 . If the larger cylinder has height 21 cm, find the height of the smaller cylinder. 22. their volumes 23. the areas of their bases 25. their volumes 26. ...continues

Cycloids : Area and Arc Length

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Hypocycloids and Epicycloids

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Trochoids, Brachistochromes, Envelope of a Family of Curves, Involute of a Circle and Pencil of Circles

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Geometry : Circles and Inscribed Right Triangles

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Draw a diagram of a Saccheri quadrilateral with certain properties, perform certain constructions on that diagram, and show that two specified quadrilaterals in the resulting diagram are Lambert quadrilaterals.

Draw a diagram of a Saccheri quadrilateral ABDC, where (a) A and B are a pair of consecutive vertices (b) sides AD and BC are a pair of opposite sides (c) angles A and B are right angles (d) sides AD and BC are congruent. Then let M be the midpoint of AB, and drop a perpendicular from M to CD with foot N. Once ...continues

Euclidean and non-euclidean geometry

Euclidean and non-euclidean geometry. See attached file for full problem description.

Area and Volume Word Problems

Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of ...continues

Real Life Applications of Geometry

You are part of a panel of parents, teachers, and administrators working to revise the geometry curriculum for the local high school. On tonight's agenda, you will be brainstorming creative ways to teach surface area and volume. The teachers are especially interested in methods which will help the students connect geometry to li ...continues

Fitting an ellipse using least squares.

Can the method attached be adapted for an an ellipse rotated and not centered at the origin? Please explain. keywords: ellipse-fitting