The essentials of geometry, plane and solid, as taught in French and German schools

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Griffith and Farran, successors to Newbery and Harris, 1871 - Geometry - 131 pages
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Page 77 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 8 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 130 - Is. 6d. All the operations of Arithmetic are presented under Forty Heads, and on opening at any one of the examination papers, a complete set of examples appears, carefully graduated. Key with Solutions of all the Examples in the One Thousand Arithmetical Tests.
Page 66 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Page 106 - The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface.
Page 86 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane.
Page 46 - When you have proved that the three angles of every triangle are equal to two right angles...
Page 116 - The volume of a cylinder is equal to the product of its base by its altitude.
Page 30 - If from the same point there be a tangent and a secant, the tangent is a mean proportional between the secant and its exterior part.
Page 3 - R, (mechanics' squares, if true, are always right angled ;) if the sides are nearer together, as SQ R, they form an acute angle; if the sides are wider apart, or diverge from each other more than a right angle, they form...

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