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Who Invented Perpendicular Lines?

James H. Sterling • • 6 min read
Who Invented Perpendicular Lines?
Euclid discussed parallel and perpendicular lines over 2,000 years ago, but the complete description had to wait until Rene Descartes put a framework on Euclidean space with the invention of Cartesian coordinates in the 17th century.

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Also question is, what is a perpendicular line?

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.

Subsequently, question is, are lines l1 and l2 perpendicular? Determine whether the lines l1 and l2 are parallel, perpendicular, or neither. Line l1 goes through (3, ?8) and (?3, 9). Line l2 goes through (?1, ?5) and (?7, 12). If the slope of one (m) and the other is -1/m, they're perpendicular.

In this regard, how do you find perpendicular lines?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

What is the synonym of perpendicular?

SYNONYMS. upright, vertical, erect, plumb, straight, straight up and down, on end, standing, upended. ANTONYMS. horizontal. 2'lines perpendicular to each other'

Related Question Answers

What is the symbol for perpendicular?

Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines. In Figure , line l ⊥ line m.

What is perpendicular example?

Perpendicular - Definition with Examples
Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Example: Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. Non-Example: The two lines are intersecting each other at an acute angle.
James H. Sterling
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James H. Sterling

James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.