The Eclectic School Geometry: A Revision of Evan's School GeometryVan Antwerp, Bragg, 1884 - 155 páginas |
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Página 50
... circumference , all points in which are equally distant from a fixed point within , called the center . 2. A straight line drawn from the center to any point of the cir- cumference is called the radius . A double radius , that is , a ...
... circumference , all points in which are equally distant from a fixed point within , called the center . 2. A straight line drawn from the center to any point of the cir- cumference is called the radius . A double radius , that is , a ...
Página 51
... circumference , is called a diameter . Cor . - In the same circle , all radii are equal ; also , all diameters . 3. A tangent is a straight line which touches the circumfer- ence , but being produced does not cut it . 4. Any portion of ...
... circumference , is called a diameter . Cor . - In the same circle , all radii are equal ; also , all diameters . 3. A tangent is a straight line which touches the circumfer- ence , but being produced does not cut it . 4. Any portion of ...
Página 52
... circumference into two equal parts . E A B C Let ABCD be a circle , of which E is the center and AC a diame- ter . It may be shown that the segment ABC is equal to the seg- ment ADC , and the arc ABC to the arc ADC . Let the segment ABC ...
... circumference into two equal parts . E A B C Let ABCD be a circle , of which E is the center and AC a diame- ter . It may be shown that the segment ABC is equal to the seg- ment ADC , and the arc ABC to the arc ADC . Let the segment ABC ...
Página 53
... circumference only in the point C , and it is consequently a tangent ( Def . 3 , Sec . VIII ) . Therefore , if a straight line , etc. Cor . A chord , drawn perpendicular to a tangent at the point of contact and , terminating in the ...
... circumference only in the point C , and it is consequently a tangent ( Def . 3 , Sec . VIII ) . Therefore , if a straight line , etc. Cor . A chord , drawn perpendicular to a tangent at the point of contact and , terminating in the ...
Página 54
... circumference be divided into any number of equal arcs , and radii be drawn to all the points of division , the whole compass about the center will be divided into the same number of equal angles . Hence , an arc may be taken as the ...
... circumference be divided into any number of equal arcs , and radii be drawn to all the points of division , the whole compass about the center will be divided into the same number of equal angles . Hence , an arc may be taken as the ...
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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.