First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ArithmeticJ. Munroe & Company, 1847 - 164 σελίδες |
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Σελίδα 42
... join AB ( or , to draw AB ) , means , to draw the straight line AB joining the two points A and B. d . A PLANE FIGURE is one every part of which lies in the same plane . It is rectilinear , if all its lines are straight ; curvilinear ...
... join AB ( or , to draw AB ) , means , to draw the straight line AB joining the two points A and B. d . A PLANE FIGURE is one every part of which lies in the same plane . It is rectilinear , if all its lines are straight ; curvilinear ...
Σελίδα 46
... Join AB ( $ 5. c ) . What kind of a line is AB ? D- ப 1 A B -B h . ) In a plane , as ABCD , take any two points . Is the direction of the plane everywhere the same be- tween these two points ? Join the two points by a straight line ...
... Join AB ( $ 5. c ) . What kind of a line is AB ? D- ப 1 A B -B h . ) In a plane , as ABCD , take any two points . Is the direction of the plane everywhere the same be- tween these two points ? Join the two points by a straight line ...
Σελίδα 47
... joining them must lie wholly in the plane . REMARKS . 1. The mode of testing a plane , by applying to it a straight edge in various directions , is explained by g above . A B 2. The direction of a straight line is twofold in its nature ...
... joining them must lie wholly in the plane . REMARKS . 1. The mode of testing a plane , by applying to it a straight edge in various directions , is explained by g above . A B 2. The direction of a straight line is twofold in its nature ...
Σελίδα 69
... join them at B , making AC their sum . From AB take BD = BC , leaving AD their difference . What line is the sum mi- 1 · A C D B nus the difference ( sd ) ? As BD = BC , what part of DC is BC ? = AD . What line is the Extend AC to E ...
... join them at B , making AC their sum . From AB take BD = BC , leaving AD their difference . What line is the sum mi- 1 · A C D B nus the difference ( sd ) ? As BD = BC , what part of DC is BC ? = AD . What line is the Extend AC to E ...
Σελίδα 93
... Join AD ; and then ( as the angles of tADC are together = the angles of tADB ) show , by subtracting the same angles from both sums , that aACD = @BAC + aABC . B XXII . A C D Prove from this Corollary , that the sum of the exterior ...
... Join AD ; and then ( as the angles of tADC are together = the angles of tADB ) show , by subtracting the same angles from both sums , that aACD = @BAC + aABC . B XXII . A C D Prove from this Corollary , that the sum of the exterior ...
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.