Some Geometry You Never Met 1 Triangle area formulas
... lines measured east and west from Greenwich, England) also run along great circles. It is important to note, however that lines of latitude (east-west lines), except for the equator itself, do not follow great circles. They do not represent shortest paths. It is easy to show this with a globe. You n ...
... lines measured east and west from Greenwich, England) also run along great circles. It is important to note, however that lines of latitude (east-west lines), except for the equator itself, do not follow great circles. They do not represent shortest paths. It is easy to show this with a globe. You n ...
“JUST THE MATHS” UNIT NUMBER 3.4 TRIGONOMETRY 4
... Clearly, the remainder of the Sine Rule can be obtained by considering the perpendicular drawn from a different vertex. The Proof of the Cosine Rule Using the same diagram as for the Sine Rule, we can assume that the side AB has lengths x and c − x either side of the foot of the perpendicular drawn ...
... Clearly, the remainder of the Sine Rule can be obtained by considering the perpendicular drawn from a different vertex. The Proof of the Cosine Rule Using the same diagram as for the Sine Rule, we can assume that the side AB has lengths x and c − x either side of the foot of the perpendicular drawn ...
Course 2 7-8
... 1, 2, and 3 together form a straight angle. Notice that That is, the sum of their measures is 180°. Notice also that the figure you have drawn consists of two parallel lines cut by two transversals. So if you were to tear off 4 and 5 from the triangle, they would fit exactly over 1 and 3. This shows ...
... 1, 2, and 3 together form a straight angle. Notice that That is, the sum of their measures is 180°. Notice also that the figure you have drawn consists of two parallel lines cut by two transversals. So if you were to tear off 4 and 5 from the triangle, they would fit exactly over 1 and 3. This shows ...
Similar shapes and similar triangles
... To show the triangles are similar we need to show 4cm they contain the same angles: Angle AXB = Angle CXD (vertically opposite angles) Angle BAX = Angle XDC (alternate angles) So the third angles in each triangle must also be equal, i.e. Angle ABX = Angle XCD. Therefore the triangles are similar. It ...
... To show the triangles are similar we need to show 4cm they contain the same angles: Angle AXB = Angle CXD (vertically opposite angles) Angle BAX = Angle XDC (alternate angles) So the third angles in each triangle must also be equal, i.e. Angle ABX = Angle XCD. Therefore the triangles are similar. It ...
Rule of marteloio
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The rule of marteloio is a medieval technique of navigational computation that uses compass direction, distance and a simple trigonometric table known as the toleta de marteloio. The rule told mariners how to plot the traverse between two different navigation courses by means of resolving triangles with the help of the Toleta and basic arithmetic.Those uncomfortable with manipulating numbers could resort to the visual tondo e quadro (circle-and-square) and achieve their answer with dividers. The rule of marteloio was commonly used by Mediterranean navigators during the 14th and 15th centuries, before the development of astronomical navigation.