The Eclectic School Geometry: A Revision of Evan's School GeometryVan Antwerp, Bragg, 1884 - 155 páginas |
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Página 3
... theorems and problems which are left for the exercise and development of the pupil's own skill . This work demands earnest effort and the power of continuous attention . It is , hence , an excellent stimulus to those very useful traits ...
... theorems and problems which are left for the exercise and development of the pupil's own skill . This work demands earnest effort and the power of continuous attention . It is , hence , an excellent stimulus to those very useful traits ...
Página 4
... theorem is stated and its demonstration is asked of the class , the pupil who is likely to reach the end in triumph ... theorems and problems from other sources , devise new illus- trations of truths discussed and things defined , and ...
... theorem is stated and its demonstration is asked of the class , the pupil who is likely to reach the end in triumph ... theorems and problems from other sources , devise new illus- trations of truths discussed and things defined , and ...
Página 12
... theorems . 3. A statement of something required to be done , or determined , is called a problem . 4. A demonstration is the proof of a theorem . It consists of the general enunciation of the truth ; the special statement , involving a ...
... theorems . 3. A statement of something required to be done , or determined , is called a problem . 4. A demonstration is the proof of a theorem . It consists of the general enunciation of the truth ; the special statement , involving a ...
Página 13
... Theorem XI . , just referred to , the condition , that the two straight lines be drawn from the ends of one side of a triangle to a point within the triangle , is the hypothesis . 10. When the conclusion of one proposition is taken as ...
... Theorem XI . , just referred to , the condition , that the two straight lines be drawn from the ends of one side of a triangle to a point within the triangle , is the hypothesis . 10. When the conclusion of one proposition is taken as ...
Página 18
... THEOREM I. The two angles which one straight line makes with an- other , on one side of it , are together equal to two right angles . A- 10 B Let the line OC move around the fixed point C so that OCB will constantly increase , and OCA ...
... THEOREM I. The two angles which one straight line makes with an- other , on one side of it , are together equal to two right angles . A- 10 B Let the line OC move around the fixed point C so that OCB will constantly increase , and OCA ...
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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.