Schultze and Sevenoak's Plane Geometry

Εξώφυλλο
Macmillan, 1913 - 304 σελίδες
 

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Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 82 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 177 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 198 - In any triangle, the product of two sides is equal to the square of the bisector of the included angle plus the product of the segments of the third side.
Σελίδα 192 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 208 - 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.
Σελίδα 67 - If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.
Σελίδα 183 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 25 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Σελίδα 70 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 193 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.

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