Elements of Geometry: With Practical Applications to Mensuration

R.S. Davis & Company, 1868 - 320 σελίδες

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Περιεχόμενα

 PLANE GEOMETRY 23 LEMENTARY PRINCIPLES 7 43 BOOK III 55 PROPORTIONS AREAS AND SIMILARITY OF FIGURES 76 BOOK V 118 BOOK VI 142 BOOK VII 165
 POLYEDRONS 184 THE SPHERE AND ITS PROPERTIES 214 BOOK X 238 MENSURATION 253 BOOK XII 281 MISCELLANEOUS GEOMETRICAL EXERCISES 301 APPLICATION OF ALGEBRA TO GEOMETRY 311

Δημοφιλή αποσπάσματα

Σελίδα 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 101 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 37 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 103 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Σελίδα 19 - In an isosceles triangle, the angles opposite the equal sides are equal. Let ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle B be equal to the angle C.
Σελίδα 36 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Σελίδα 166 - ... the same, or a like inclination to one another, which two other planes have, when the said angles of inclination are equal to one another.
Σελίδα 168 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 272 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...