New Elementary Geometry: With Practical Applications ; a Shorter Course Upon the Basis of the Larger WorkR.S. Davis & Company, 1873 - 176 páginas |
Dentro del libro
Resultados 1-5 de 34
Página 7
... any two points being taken , the straight line that joins them will lie wholly in the surface . 8. A Curved Surface is one that is not a BOOK GENERAL PRINCIPLES Preliminary Definitions Theorems Exercises for original thought, on review.
... any two points being taken , the straight line that joins them will lie wholly in the surface . 8. A Curved Surface is one that is not a BOOK GENERAL PRINCIPLES Preliminary Definitions Theorems Exercises for original thought, on review.
Página 11
... joining the vertices of any two angles which are op- E posite to each other ; as the lines EC C and E B in the polygon A B C D E. A B 25. A Base of a polygon is the side on which the polygon is supposed to stand . But in the case of the ...
... joining the vertices of any two angles which are op- E posite to each other ; as the lines EC C and E B in the polygon A B C D E. A B 25. A Base of a polygon is the side on which the polygon is supposed to stand . But in the case of the ...
Página 20
... join CF , D F. DF . Pro- D First . The triangle BCF is equal to the triangle BCA , for A F E B they have the side C B common , the side A B equal to the side BF , and the angle A B C equal to the angle FBC , both being right angles ...
... join CF , D F. DF . Pro- D First . The triangle BCF is equal to the triangle BCA , for A F E B they have the side C B common , the side A B equal to the side BF , and the angle A B C equal to the angle FBC , both being right angles ...
Página 21
... not shorter than the other ; make the angle ED G equal to BAC ; and make D G equal to AC or DF , and join E G , GF . Since D F , or its equal D G , is not shorter than DE , it therefore its extrem- The two triangles , A B , BOOK I. 21.
... not shorter than the other ; make the angle ED G equal to BAC ; and make D G equal to AC or DF , and join E G , GF . Since D F , or its equal D G , is not shorter than DE , it therefore its extrem- The two triangles , A B , BOOK I. 21.
Página 24
... join AG . Then , in the two triangles ABG , DEF , the angles B and E are equal , both being right angles , the side A B is equal to DE by hypothesis , and the side B G to EF by construction ; hence these triangles are equal ( Theo . IV ...
... join AG . Then , in the two triangles ABG , DEF , the angles B and E are equal , both being right angles , the side A B is equal to DE by hypothesis , and the side B G to EF by construction ; hence these triangles are equal ( Theo . IV ...
Otras ediciones - Ver todas
New Elementary Geometry with Practical Applications Benjamin Greenleaf Sin vista previa disponible - 2016 |
Términos y frases comunes
A B C D ABCD ABCDEF alti altitude altitude Theo angle A CD axis base multiplied bisect chord circumference circumscribed cone convex surface diagonal diameter divided Elementary Algebra ellipse entire surface equal Theo equivalent frustum greater GREENLEAF'S NEW MATHEMATICAL Greenleaf's New Series half the sum hence homologous homologous sides hypothenuse inches inscribed circle magnitudes MATHEMATICAL SERIES mean proportional measured by half number of sides parallelogram parallelopipedon Parker's Exercises perimeter perpendicular prism PROBLEM radii radius ratio rectangle rectangular regular polygon Required the area Required the volume rhombus right angles Theo rods Scholium School secant line side A B side B C similar slant hight solid sphere is equal spherical square described square feet THEOREM triangles A B C triangular triangular prism vertex zoid
Pasajes populares
Página 23 - 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.
Página 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Página 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 61 - At a point in a given straight line to make an angle equal to a given angle.
Página 57 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Página 62 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Página 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let...
Página 100 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...
Página 88 - Similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.