# Plane and Solid Geometry

Longmans, Green & Company, 1898 - 210 σελίδες

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### Περιεχόμενα

 Preliminary Definitions 1 Parallel Lines 17 Quadrilaterals 33 Polygons 40 THE CIRCLE 46 On Measurement 56 Problems in Construction 65 RATIO AND PROPORTION SIMILAR FIGURES 78
 Problems in Construction 118 REGULAR POLYGONS AND CIRCLES 124 Maxima and Minima 139 SOLID GEOMETRY 145 Diedral Angles 155 POLYEDRONS CYLINDERS AND CONES 164 Pyramids 178 THE SPHERE 192

 Proportional Lines 84 PAGE 100
 The Sphere 204 Πνευματικά δικαιώματα

### Δημοφιλή αποσπάσματα

Σελίδα 46 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.
Σελίδα 105 - ... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 82 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Σελίδα 192 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 108 - Two triangles having 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.
Σελίδα 146 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 30 - In an isosceles triangle, the angles opposite the equal sides are equal.
Σελίδα 80 - In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 79 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос.
Σελίδα 148 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.