First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ArithmeticJ. Munroe & Company, 1847 - 164 σελίδες |
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Σελίδα 6
... if every question were answered as soon as asked , or rather the fact were stated without a question's being even raised , and then this statement were followed in every instance by the whole operation writ- 6 PREFACE .
... if every question were answered as soon as asked , or rather the fact were stated without a question's being even raised , and then this statement were followed in every instance by the whole operation writ- 6 PREFACE .
Σελίδα 7
... whole operation writ- ten out in its minutiæ , and the scholar's work consisted merely in tracing out this operation , of which he already knows the result , and going over it again and again , till he can reproduce it ( sometimes with ...
... whole operation writ- ten out in its minutiæ , and the scholar's work consisted merely in tracing out this operation , of which he already knows the result , and going over it again and again , till he can reproduce it ( sometimes with ...
Σελίδα 8
... them merely as having the same direction , and mentally derive their results from this property . This is certainly true of those who read their books . " - PROFESSOR HAYWARD . The whole work is so constructed , that it is 8 PREFACE .
... them merely as having the same direction , and mentally derive their results from this property . This is certainly true of those who read their books . " - PROFESSOR HAYWARD . The whole work is so constructed , that it is 8 PREFACE .
Σελίδα 9
Upon the Model of Colburn's First Lessons in Arithmetic Alpheus Crosby. The whole work is so constructed , that it is believed that the teacher , even if the science is entirely new to him , will find no difficulty in taking it up , and ...
Upon the Model of Colburn's First Lessons in Arithmetic Alpheus Crosby. The whole work is so constructed , that it is believed that the teacher , even if the science is entirely new to him , will find no difficulty in taking it up , and ...
Σελίδα 18
... whole course of education . The principles of Arithmetic should be demonstrated as rigor- ously as the propositions of Geometry . Unless this is done , Arithmetic is not learned . How much better this will be done by one accustomed to ...
... whole course of education . The principles of Arithmetic should be demonstrated as rigor- ously as the propositions of Geometry . Unless this is done , Arithmetic is not learned . How much better this will be done by one accustomed to ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
aACB AB² aBAC ABCD AC² adjacent angles angles equal angular points base and altitude BC² bisect broken line centre contain describe arcs cutting diagonals difference dimensions direction distance divergence divided draw equal angles equally distant equiangular equiangular polygons equilateral exterior figure GEOM Geometry given angle greater hypotenuse identical triangles inches interior angles isosceles triangle Join lelogram length less line drawn magnitudes multiplied oblique obtain the square obtuse opposite angle opposite sides paral parallel parallelogram perpendicular plane polygon PROBLEM PROPOSITION quadrilateral radius rectangle RHOMBUS right angles right triangle Show solid angles straight line subtending subtract surface tABC tABD termed THEOR three angles trapezoid triangle ABC Triangles agreeing unequal vertex zoid
Δημοφιλή αποσπάσματα
Σελίδα 22 - 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 93 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 149 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Σελίδα 156 - Side subtending the Obtuse Angle, is Greater than the Sum of the Squares of the other two Sides, by Twice the Rectangle of the Base and the Distance of the Perpendicular from the Obtuse Angle.
Σελίδα 4 - ... Theory soon descends to guide and assist the operations of practice. To the geometrical speculations of the Greeks, we may distinctly trace whatever progress the moderns have been enabled to achieve in mechanics, navigation, and the various complicated arts of life. A refined analysis has disclosed the harmony of the celestial motions, and conducted the philosopher, through a maze of intricate phenomena, to the great laws appointed for the government of the universe.
Σελίδα 23 - Of four-sided figures, a square is that which has all its sides equal, and all its angles right angles.
Σελίδα 24 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.
Σελίδα 150 - F + c' = ax(BD + DC) = axa. Ax. 2 Or b' + c'=a\ QED 318. COR. I. The square of either side about the right angle is equal to the difference of the squares of the other two sides.
Σελίδα 102 - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Σελίδα 137 - Give the table of measures of length. 6. How many square inches are there in a square foot ? How many square feet are there in a square yard ? Y2 sq.