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The theodolite is used to measure horizontal and vertical angles to target points.
The builder's level measures neither horizontal nor vertical angles.
Even if the steps were functional, the towers rise at steep vertical angles that would make ascending them difficult.
If a vang is not installed, then the sheet has to try to control both horizontal and vertical angles of the boom.
Some types of transit theodolites do not allow the measurement of vertical angles.
Planes were defined by the ship's 3 axis from which horizontal and vertical angles were determined.
The planes climbed to their ceiling at vertical or near vertical angles and had only a few minutes for combat action.
Vertical angles, that's what they are."
Horizontal angles run anticlockwise from due front and vertical angles are positive above the horizontal, negative below.
Weapon trajectories can be controlled so that a target can be impacted at precise headings and vertical angles.
Not an astrolabe proper, the mariner's astrolabe was rather a graduated circle with an alidade used to measure vertical angles.
Once the surveyor has taken the three vertical angles to the tree's top, the slope distances and angles between the three viewing stations is taken.
Since the funeral services he had been taking many vertical angles of every peak that Southwick clapped eyes on and had the height noted on the chart.
Horizontal and vertical angles measured to 1 ; distances should be observed and recorded to the nearest centimetre and station positions identified to less than 10 cm.
Since either of a pair of vertical angles is supplementary to either of the adjacent angles, the vertical angles are equal in measure.
Additionally, levels and calibrated circles allowing measurement of vertical angles were added, along with verniers for measurement to a fraction of a degree-such as with a turn-of-the-century transit.
Two angles opposite each other, formed by two intersecting straight lines that form an "X"-like shape, are called vertical angles or opposite angles or vertically opposite angles.
According to a historical Note, when Thales visited Egypt, he observed that whenever the Egyptians drew two intersecting lines, they would measure the vertical angles to make sure that they were equal.
In addition Eudemus attributed to him the discovery that a circle is bisected by its diameter, that the base angles of an isosceles triangle are equal and that vertical angles are equal.
After that, vertical angles (zenith angles or, alternatively, elevation angles) are obtained with respect to this local vertical, and horizontal angles in the plane of the local horizon, perpendicular to the vertical.
The harvest season extends from mid-August, when the fields are heavy with sauvignon blanc and grapes to use for champagne, to late October, when the late-ripening cabernet grapes crisscross the hills at improbable vertical angles.
For instance, in the Cartesian plane, the union of the positive and negative quadrants forms a double wedge, and more generally in two dimensions a double wedge consists of the set of points within two vertical angles defined by a pair of lines.
Thales concluded that one could prove that all vertical angles are equal if one accepted some general notions such as: all straight angles are equal, equals added to equals are equal, and equals subtracted from equals are equal.
In the figure at the right, all of the orange-shaded angles are congruent to each other and all of the green-shaded angles are congruent to each other, because vertical angles are congruent and alternate interior angles formed by a transversal cutting parallel lines are congruent.