Plane GeometrySilver, Burdett, 1896 - 253 Seiten |
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Seite 23
... equilateral polygon is one whose sides are equal . An equiangular polygon is one whose angles are equal . Polygons are mutually equilateral ... TRIANGLES 75. A triangle is called scalene if no two POLYGONS 23.
... equilateral polygon is one whose sides are equal . An equiangular polygon is one whose angles are equal . Polygons are mutually equilateral ... TRIANGLES 75. A triangle is called scalene if no two POLYGONS 23.
Seite 24
George D. Pettee. TRIANGLES 75. A triangle is called scalene if no two sides are equal ; isosceles if two sides are equal ; and equilateral if its three sides are equal . A triangle is called a right triangle if it has a right angle ...
George D. Pettee. TRIANGLES 75. A triangle is called scalene if no two sides are equal ; isosceles if two sides are equal ; and equilateral if its three sides are equal . A triangle is called a right triangle if it has a right angle ...
Seite 30
... isosceles triangle , a line which satisfies any two of the following conditions satisfies all : 1. Drawn through the vertex . 2. Drawn bisecting the vertical angle . 3. Drawn perpendicular to the base . 4. Drawn bisecting the base . 90 ...
... isosceles triangle , a line which satisfies any two of the following conditions satisfies all : 1. Drawn through the vertex . 2. Drawn bisecting the vertical angle . 3. Drawn perpendicular to the base . 4. Drawn bisecting the base . 90 ...
Seite 31
... triangle are equal , the sides opposite are equal . Appl . X A X = X ' Prove BA BC = Cons . Draw BDLAC Dem . ΔΑΒΟ = Δ CBD B D C rt . A , leg and acute BD com X = X ' .. BA = BC 92. Cor . An equiangular triangle is also equilateral ...
... triangle are equal , the sides opposite are equal . Appl . X A X = X ' Prove BA BC = Cons . Draw BDLAC Dem . ΔΑΒΟ = Δ CBD B D C rt . A , leg and acute BD com X = X ' .. BA = BC 92. Cor . An equiangular triangle is also equilateral ...
Seite 53
... isosceles , or equilateral The two theorems to be proved must be : If lines are drawn from any point within a triangle to the extremities of a side , 1. Their sum is less than the sum of the other two sides . 2. The angle included by ...
... isosceles , or equilateral The two theorems to be proved must be : If lines are drawn from any point within a triangle to the extremities of a side , 1. Their sum is less than the sum of the other two sides . 2. The angle included by ...
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Häufige Begriffe und Wortgruppen
AB² ABCD AC² acute angle AD² adjacent angles altitude angles are equal apothem Appl base and altitude base angle BC² BD² bisector bisects central angle centre chord circumf circumference circumscribed circle Cons decagon diagonals diameter dist distance divided Draw equal circles equally distant equiangular equiangular polygon equilateral triangle EXERCISES exterior angle feet figure Find its area Find the area geometric given circle given line given point homologous sides hypotenuse intersecting isosceles trapezoid isosceles triangle length locus logarithm mantissa mean proportional meas measure median middle point number of sides parallel parallelogram perimeter perpendicular Problem produced PROPOSITION quadrilateral radii radius ratio rectangle regular hexagon regular inscribed regular polygon respectively rhombus right angle right triangle secant segments similar triangles subtended tang tangent Theorem third side trapezoid triangle ABC triangles are equal vertex vertical angle
Beliebte Passagen
Seite 60 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Seite 219 - ... 4. Prove that, if from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.
Seite 139 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Seite 44 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Seite 43 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 217 - Show that the areas of similar triangles are to each other as the squares of the homologous sides.
Seite 89 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Seite 107 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Seite 218 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Seite 218 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.