The Eclectic School Geometry: A Revision of Evan's School GeometryVan Antwerp, Bragg, 1884 - 155 páginas |
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Página 24
... If one of its angles is a right angle , the triangle is called a right - angled triangle ; and the side opposite the right angle is called the hypotenuse . Thus the plane figure ABC is a right - angled 24 GEOMETRY . -Triangles,
... If one of its angles is a right angle , the triangle is called a right - angled triangle ; and the side opposite the right angle is called the hypotenuse . Thus the plane figure ABC is a right - angled 24 GEOMETRY . -Triangles,
Página 34
... hypotenuse . Draw BD , making ABD = BAD . Then the triangle ABD will be equilateral ( ? ) , and the triangle DBC will be isosceles ( ? ) ... AB = AD = BD DC . .. AB = AC 2 6. The perpendiculars to the sides of a triangle at their ...
... hypotenuse . Draw BD , making ABD = BAD . Then the triangle ABD will be equilateral ( ? ) , and the triangle DBC will be isosceles ( ? ) ... AB = AD = BD DC . .. AB = AC 2 6. The perpendiculars to the sides of a triangle at their ...
Página 42
... hypotenuse of a right - angled triangle is equivalent to the sum of the squares described on the other two sides . A B E K H Let ABC be a triangle right- angled at B. It is to be proved that the square AEDC is equiva- lent to the sum of ...
... hypotenuse of a right - angled triangle is equivalent to the sum of the squares described on the other two sides . A B E K H Let ABC be a triangle right- angled at B. It is to be proved that the square AEDC is equiva- lent to the sum of ...
Página 43
... hypotenuse is equal to the square root of the sum of the squares of the other two sides . Cor . 2. The square of either of the sides containing the right angle is equivalent to the square of the hy- potenuse diminished by the square of ...
... hypotenuse is equal to the square root of the sum of the squares of the other two sides . Cor . 2. The square of either of the sides containing the right angle is equivalent to the square of the hy- potenuse diminished by the square of ...
Página 44
... hypotenuse ? 6. If the hypotenuse is 10 , and one of the sides 8 , what is the length of the other side ? 7. Prove that if a parallelogram has one right angle it is a rectangle . 8. Prove that the diagonals of a rectangle are equal to ...
... hypotenuse ? 6. If the hypotenuse is 10 , and one of the sides 8 , what is the length of the other side ? 7. Prove that if a parallelogram has one right angle it is a rectangle . 8. Prove that the diagonals of a rectangle are equal to ...
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Términos y frases comunes
allel altitude apothegm Axiom Bisect the angles Book chord circle circumference coincide cone construction convex surface diagonal diameter diedral divided draw drawn equal Theo equal to half equally distant equilateral triangle equivalent exterior angle figure frustum Geometry given angle given line given point given straight line half the product Hence hexagon homologous sides hypotenuse hypothesis inscribed inscribed angle intersection isosceles Let ABC measured by half mutually equiangular number of equal number of sides parallel parallelogram parallelopiped pendicular perimeter perpendicular plane polyedron prism Prove pyramid quadrilateral Ques radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle secant segment slant height sphere square tangent tetraedron THEOREM THEOREM XI third trapezoid trian triangles ABC triedral vertex
Pasajes populares
Página 104 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Página 32 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Página 54 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Página 42 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Página 107 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Página 147 - 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.
Página 140 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Página 50 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Página 141 - The altitude of a pyramid or cone is the perpendicular distance from the ve~rtex to the base.
Página 39 - The area of a rectangle is equal to the product of its base and altitude.