Elements of Geometry, After Legendre, with a Selection of Geometrical Exercises, and Hints for the Solution of the Same |
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Αποτελέσματα 1 - 5 από τα 87.
Σελίδα 20
... triangle ; the polygon of four sides is called a quadrilateral ; that of five sides , a pentagon ; that of six , a hexagon , etc. 15. An equilateral triangle is one which has three equal sides ; an isosceles triangle is that which has ...
... triangle ; the polygon of four sides is called a quadrilateral ; that of five sides , a pentagon ; that of six , a hexagon , etc. 15. An equilateral triangle is one which has three equal sides ; an isosceles triangle is that which has ...
Σελίδα 21
... triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse : thus , ABC is a right - angled triangle , with the right angle at A ; the side , BC , being the hypothenuse . 17. Among the ...
... triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse : thus , ABC is a right - angled triangle , with the right angle at A ; the side , BC , being the hypothenuse . 17. Among the ...
Σελίδα 27
... triangle DEF is equal to the triangle ABC ( Ax . 5 ) . COR . When in two triangles these three things are equal , namely : the angle A = D , the side AB = DE , the side AC = DF , the three others are equal also ; namely : the angle B ...
... triangle DEF is equal to the triangle ABC ( Ax . 5 ) . COR . When in two triangles these three things are equal , namely : the angle A = D , the side AB = DE , the side AC = DF , the three others are equal also ; namely : the angle B ...
Σελίδα 28
... triangle , ABC , two straight lines , OB , OC , be drawn to the extremities of either side , BC , the sum of these two straight lines will be less than that of the two other sides , AB , AC . Let BO be produced to meet the side AC in D ...
... triangle , ABC , two straight lines , OB , OC , be drawn to the extremities of either side , BC , the sum of these two straight lines will be less than that of the two other sides , AB , AC . Let BO be produced to meet the side AC in D ...
Σελίδα 29
... triangle ECD , EC < DC + ED . Adding these two inequalities , member to member , we obtain AB + EC < AC + EB . B E PROPOSITION XI . THEOREM . If two sides , AB , AC , of a triangle , ABC , be equal to the two sides , A'B ' , A'C ' , of ...
... triangle ECD , EC < DC + ED . Adding these two inequalities , member to member , we obtain AB + EC < AC + EB . B E PROPOSITION XI . THEOREM . If two sides , AB , AC , of a triangle , ABC , be equal to the two sides , A'B ' , A'C ' , of ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, After Legendre: With a Selection of Geometrical ... Charles Scott Venable Προβολή αποσπασμάτων - 1890 |
Elements of Geometry, After Legendre: With a Selection of Geometrical ... Adrien Marie Legendre,Charles Scott Venable Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ACB angles equal apothem base bisect bisectrix Book centre chord circ circumference circumscribed circle common cone Construct convex surface cylinder decagon described diagonals diameter dicular diedral distance divided draw drawn edges equally distant equilateral triangle equivalent Exercises exterior angles Find the locus frustum Geometric given circle given line given point given straight line greater Hence homologous homologous sides hypothenuse isosceles join let fall line parallel loci measure median meet middle point number of sides opposite parallelogram parallelopipedon perimeter perpen perpendicular plane angles plane MN point of contact point of intersection polyedron prism problem Prop proportional PROPOSITION pyramid quadrilateral radii ratio rectangle regular polygon right angled triangle S-ABC SCHOLIUM segment similar solid angle sphere spherical triangle square tangent tetraedron THEOREM triangle ABC triangular prism triedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 255 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Σελίδα 49 - 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 20 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Σελίδα 54 - 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 45 - 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 67 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 107 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 300 - The volume of a frustum of a cone is equivalent to the sum of the volumes of three cones whose common altitude is the altitude of the frustum and whose bases are the lower base, the upper base, and a mean proportional between the bases of the frustum.
Σελίδα 276 - Scholium. The spherical ungula, bounded by the planes AMB, ANB, is to the whole solid sphere, as the angle A is to four right angles. For, the lunes being equal, the spherical ungulas will also be equal ; hence two spherical ungulas are to each other, as the angles formed by the planes which bound them. PROPOSITION XVIII.
Σελίδα 9 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.