A Text-book of GeometryGinn, 1888 - 386 σελίδες |
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Σελίδα 31
... angles are supplementary when two of the parallel sides extend in the same direction , and the other two in opposite directions , from their vertices . 113. Two angles whose sides are perpendic to each , PROPOSITION XV . THEOREM .
... angles are supplementary when two of the parallel sides extend in the same direction , and the other two in opposite directions , from their vertices . 113. Two angles whose sides are perpendic to each , PROPOSITION XV . THEOREM .
Σελίδα 32
... vertices ) . The △ BAK is a right angle by constructio : . Z BAH is the complement of ≤ KAH The CAH is a right angle by construction ..Z BAH is the complement of △ BAC . ..L BAC Z KAH , = ( complements of equal angles are equal ) ...
... vertices ) . The △ BAK is a right angle by constructio : . Z BAH is the complement of ≤ KAH The CAH is a right angle by construction ..Z BAH is the complement of △ BAC . ..L BAC Z KAH , = ( complements of equal angles are equal ) ...
Σελίδα 40
... vertices of these an- gles , the vertices of the triangle . 128. An exterior angle of a triangle is an angle formed between a side and the prolongation of another side ; as , ACD . The interior angle ACB is B adjacent to the exterior ...
... vertices of these an- gles , the vertices of the triangle . 128. An exterior angle of a triangle is an angle formed between a side and the prolongation of another side ; as , ACD . The interior angle ACB is B adjacent to the exterior ...
Σελίδα 41
... vertices of a tri- angle to the opposite sides ( produced if necessary ) are called the altitudes ; the three bisectors of the angles are called the bisectors ; and the three lines from the vertices to the middle points of the opposite ...
... vertices of a tri- angle to the opposite sides ( produced if necessary ) are called the altitudes ; the three bisectors of the angles are called the bisectors ; and the three lines from the vertices to the middle points of the opposite ...
Σελίδα 51
... The sum of the lines which join a point within a triangle to the three vertices is less than the perimeter , but greater than half the perimeter . 44 B 160. Two triangles are equal if the three the one PROPOSITION XXXII . THEOREM .
... The sum of the lines which join a point within a triangle to the three vertices is less than the perimeter , but greater than half the perimeter . 44 B 160. Two triangles are equal if the three the one PROPOSITION XXXII . THEOREM .
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² acute angle adjacent angles altitude angle formed angles are equal base bisector bisects called centre chord circumference circumscribed coincide construct a square decagon diagonals diameter Draw equal respectively equiangular equiangular polygon equidistant equilateral polygon equilateral triangle exterior angle feet figure Find the area given circle given line given point given straight line given triangle greater Hence homologous sides hypotenuse inches intersecting isosceles triangle legs length line drawn line joining measured by arc middle points number of sides obtuse opposite sides parallel parallelogram perimeter perpendicular PROPOSITION prove Proof quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angle right triangle SCHOLIUM secant segments similar polygons square equivalent straight angle subtended tangent THEOREM third side trapezoid triangle ABC triangle is equal vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 46 - If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second...
Σελίδα 69 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.
Σελίδα 187 - 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 64 - 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 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 201 - To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line.
Σελίδα 215 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 161 - 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 135 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 156 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 15 - LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3.