The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry...

Thales is the namesake of Thales's theorem, and the intercept theorem can also be referred to as Thales's theorem. Thales was said to have calculated...

third side and have half of its length. The midpoint theorem generalizes to the intercept theorem, where rather than using midpoints, both sides are partitioned...

1 {\displaystyle SP_{1}} can be constructed graphically using the intercept theorem: Q 2 {\displaystyle Q_{2}} is the common point th two lines P 1 P...

Intercept, an American left-wing news organization Interception (disambiguation) Interceptor (disambiguation) Intercept theorem, an important theorem...

In geometry, Apollonius's theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. It states that the sum of the...

construction based on the intercept theorem. A slightly less elementary construction using these tools is based on the geometric mean theorem and will construct...

his own at the same moment, and compared the ratios to his height (intercept theorem). Thales also estimated the distances to ships at sea as seen from...

angle theorem (geometry) Intercept theorem (Euclidean geometry) Intersecting chords theorem (Euclidean geometry) Intersecting secants theorem (Euclidean...

be transferred even with a collapsing compass; see compass equivalence theorem. Note however that whilst a non-collapsing compass held against a straightedge...

times by vernier scales. This method is based on the Intercept theorem (also known as Thales's theorem). Transversals were used at a time when finely graduated...

the later tradition of Alexandria. In the Elements, Euclid deduced the theorems from a small set of axioms. He also wrote works on perspective, conic sections...

inscribed angle theorem relates the measure of an inscribed angle to that of the central angle intercepting the same arc. The inscribed angle theorem appears...

proven to be impossible, as a consequence of the Lindemann–Weierstrass theorem, which proves that pi ( π {\displaystyle \pi } ) is a transcendental number...

Greek mathematics is obscure, and traditional narratives of mathematical theorems found before the fifth century BC are regarded as later inventions. It...

{\displaystyle {\overline {PB}}\parallel {\overline {ZD}}} . From intercept theorem and Z D ¯ = Z A ¯ {\displaystyle {\overline {ZD}}={\overline {ZA}}}...

{|AC|}{|AM|}}={\tfrac {|AE|}{|AN|}}} . Therefore, it follows from the intercept theorem (and its converse) that C E {\displaystyle CE} and N M {\displaystyle...

less than the scope ratio. The basis for this is simple geometry (Intercept Theorem): The ratio between two sides of a triangle stays the same regardless...

In geometry, Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular...

problem intercept, y-intercept, x-intercept Intersection number Intrinsic equation Isoperimetric inequality Jordan curve Jordan curve theorem Knot Limit...

{\displaystyle n} equal parts with ruler and compass is possible due to the intercept theorem. In more detail, to divide a given angle ∠ B A E {\displaystyle \angle...

segments (not to be confused with the above); usually referred to as the Intercept theorem Thale (disambiguation) Thalys, European train service This disambiguation...

Bézout's theorem is a statement concerning the number of common zeros of n polynomials in n indeterminates. In its original form the theorem states that...

mathematical discovery has been attributed. Intercept theorem: Also attributed to Thales is the fundamental theorem of geometry that states that the ratios...

polynomial is a zero of the corresponding polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number of roots at...

bisector theorem Exterior angle theorem Euclidean algorithm Euclid's theorem Geometric mean theorem Hinge theorem Inscribed angle theorem Intercept theorem Intersecting...

circle, then Π ( P ) < 0 {\displaystyle \Pi (P)<0} . Due to the Pythagorean theorem the number Π ( P ) {\displaystyle \Pi (P)} has the simple geometric meanings...

his own at the same moment, and compared the ratios to his height (intercept theorem). Such techniques would have been familiar to the ancient Egyptians...

Miquel's theorem is a result in geometry, named after Auguste Miquel, concerning the intersection of three circles, each drawn through one vertex of a...

work is done to find out exactly which two circles are the solution. Intercept theorem Similarity (geometry) Homothetic transformation Radical axis, radical...