Elements of Geometry...: Translated from the French for the Use of the Students of the University at Cambridge, New EnglandHilliard and Metcalf, 1825 - 224 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 73.
Σελίδα 2
... triangle is that which has one right angle . The side opposite to the right angle is called the hypothenuse . Fig . 10. Thus ABC ( fig . 10 ) is a triangle right - angled at A , and the side . BC is the hypothenuse . Fig . 11 . Fig . 12 ...
... triangle is that which has one right angle . The side opposite to the right angle is called the hypothenuse . Fig . 10. Thus ABC ( fig . 10 ) is a triangle right - angled at A , and the side . BC is the hypothenuse . Fig . 11 . Fig . 12 ...
Σελίδα 7
... ABC , DEF ( fig . 23 ) , let Fig . 23 . the angle A be equal to the angle D , the side AB equal to the side DE , and ... triangle DEF is equal to the triangle ABC ( 26 ) . 37. Corollary . When , in two triangles , these three things are ...
... ABC , DEF ( fig . 23 ) , let Fig . 23 . the angle A be equal to the angle D , the side AB equal to the side DE , and ... triangle DEF is equal to the triangle ABC ( 26 ) . 37. Corollary . When , in two triangles , these three things are ...
Σελίδα 8
... triangle ABC , are equal to two sides DE , DF , of another triangle DEF , each to each ; if , at the same time , the angle BAC , contained by the former , is greater than the angle EDF , contained by the latter ; the third side BC of ...
... triangle ABC , are equal to two sides DE , DF , of another triangle DEF , each to each ; if , at the same time , the angle BAC , contained by the former , is greater than the angle EDF , contained by the latter ; the third side BC of ...
Σελίδα 10
... triangle are equal , the oppo- site sides are equal , and the triangle is isosceles . Demonstration . Let the angle ABC = ACB ( fig . 29 ) , the side AC will be equal to the side AB . For , if these sides are not equal , let AB be the ...
... triangle are equal , the oppo- site sides are equal , and the triangle is isosceles . Demonstration . Let the angle ABC = ACB ( fig . 29 ) , the side AC will be equal to the side AB . For , if these sides are not equal , let AB be the ...
Σελίδα 11
... triangle CBF is equal to the triangle ABC . For the angle CBF is a right angle ( 29 ) , as well as CBA , and the side BF = BA ; therefore the triangles are equal ( 36 ) , and the angle BCF BCA . But BCA is , by hypothesis , a right angle ...
... triangle CBF is equal to the triangle ABC . For the angle CBF is a right angle ( 29 ) , as well as CBA , and the side BF = BA ; therefore the triangles are equal ( 36 ) , and the angle BCF BCA . But BCA is , by hypothesis , a right angle ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry...: Translated from the French for the Use of the ... Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2020 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circle circular sector circumference circumscribed common cone consequently construction convex surface Corollary cylinder Demonstration diagonals diameter draw drawn equal and parallel equiangular equilateral equivalent figure formed four right angles frustum Geom given point gles greater hence homologous sides hypothenuse hypothesis inclination inscribed isosceles join less let fall line AC measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN point F polyedron prism proposition quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium sector segment semicircumference side AC sides AB similar solid angle sphere spherical polygons spherical triangle straight line tangent THEOREM third side triangle ABC triangles are equal triangular prism triangular pyramids vertex vertices whence
Δημοφιλή αποσπάσματα
Σελίδα 43 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Σελίδα 3 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 4 - Hence a straight line drawn from the vertex of an isosceles triangle, to the middle of the base, is perpendicular to that base, and divides the vertical angle into two equal parts.
Σελίδα 16 - 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 58 - 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 158 - CD, &c., taken together, make up the perimeter of the prism's base : hence the sum of these rectangles, or the convex surface of the prism, is equal to the perimeter of its base multiplied by its altitude.
Σελίδα 32 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Σελίδα 142 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Σελίδα 136 - The sum of the three sides of a spherical triangle is less than the circumference of a great circle. Let ABC be any spherical triangle; produce the sides AB, AU, till they meet again in D.
Σελίδα 154 - ABCDE, and equal in altitude to the cylinder, is said to be inscribed in the cylinder, or the cylinder to be circumscribed about the prism.