Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 58
... Square is a parallelogram which has its angles right angles , and its sides equal . 128. DEF . A Rhombus is a ... SQUARE . RHOMBUS . 130. DEF . The side upon which a parallelogram stands 58 BOOK I. GEOMETRY . QUADRILATERALS.
... Square is a parallelogram which has its angles right angles , and its sides equal . 128. DEF . A Rhombus is a ... SQUARE . RHOMBUS . 130. DEF . The side upon which a parallelogram stands 58 BOOK I. GEOMETRY . QUADRILATERALS.
Σελίδα 72
... square A B C D , BE be . cut off equal to BC , and EF be drawn perpendicular to BD , show that DE is equal to E F , and also to FC . 13. Show that the three lines drawn from the vertices of a triangle to the middle points of the ...
... square A B C D , BE be . cut off equal to BC , and EF be drawn perpendicular to BD , show that DE is equal to E F , and also to FC . 13. Show that the three lines drawn from the vertices of a triangle to the middle points of the ...
Σελίδα 127
... square , one of whose angles shall coincide with one of the right angles at O , and the vertex of the opposite angle of the square shall lie in EF . ( Two solutions . ) 9. In a given rhombus to inscribe a square . 10. If the base and ...
... square , one of whose angles shall coincide with one of the right angles at O , and the vertex of the opposite angle of the square shall lie in EF . ( Two solutions . ) 9. In a given rhombus to inscribe a square . 10. If the base and ...
Σελίδα 131
... square root of their product . In the proportion a : b :: b : c , b2 = a c , ( the product of the extremes is equal to the product of the means ) . Whence , extracting the square root , b = √ac . § 259 Q. E. D. PROPOSITION III . 261 ...
... square root of their product . In the proportion a : b :: b : c , b2 = a c , ( the product of the extremes is equal to the product of the means ) . Whence , extracting the square root , b = √ac . § 259 Q. E. D. PROPOSITION III . 261 ...
Σελίδα 150
... square on the hypotenuse has the same ratio to the square on either side as the hypotenuse has to the segment adjacent to that side . B A F C In the right triangle ABC , let B F be drawn from the vertex of the right angle B ...
... square on the hypotenuse has the same ratio to the square on either side as the hypotenuse has to the segment adjacent to that side . B A F C In the right triangle ABC , let B F be drawn from the vertex of the right angle B ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - 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.