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 43.
Σελίδα 26
... contain it in the other , each to each . Let the angle A be equal to the angle D , the side AB equal to the side DE , and the side AC equal to DF ; then shall the triangle ABC be equal to the triangle DEF . For these triangles may be ...
... contain it in the other , each to each . Let the angle A be equal to the angle D , the side AB equal to the side DE , and the side AC equal to DF ; then shall the triangle ABC be equal to the triangle DEF . For these triangles may be ...
Σελίδα 29
... contained by the former , is greater than the angle , B'A'C ' , con- tained by the latter , the third side , BC , of the first triangle shall be greater than the third side , B'C ' , of the second . For , place the triangle A'B'C ' on ...
... contained by the former , is greater than the angle , B'A'C ' , con- tained by the latter , the third side , BC , of the first triangle shall be greater than the third side , B'C ' , of the second . For , place the triangle A'B'C ' on ...
Σελίδα 47
... which have two angles of the one equal to two angles of the other and contained by three sides , equal , each to each , and similarly placed , are equal . 7. Two quadrilaterals which have two sides of the one BOOK I. 47 Exercises,
... which have two angles of the one equal to two angles of the other and contained by three sides , equal , each to each , and similarly placed , are equal . 7. Two quadrilaterals which have two sides of the one BOOK I. 47 Exercises,
Σελίδα 48
... contain the angle from whose vertex it is drawn . ( Auxiliary Construction : Produce the median beyond the middle point of the side on which it rests , until the part produced is equal to the median , and join the extremity of the ...
... contain the angle from whose vertex it is drawn . ( Auxiliary Construction : Produce the median beyond the middle point of the side on which it rests , until the part produced is equal to the median , and join the extremity of the ...
Σελίδα 49
... contained be- tween two parallels , cut each other in O , so that AO OC , then shall AB CD . = 24. If , through each of the vertices of a given triangle , a line be drawn parallel to the opposite side , a new triangle will be formed ...
... contained be- tween two parallels , cut each other in O , so that AO OC , then shall AB CD . = 24. If , through each of the vertices of a given triangle , a line be drawn parallel to the opposite side , a new triangle will be formed ...
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.