New Elementary Geometry: With Practical Applications : a Shorter Course Upon the Basis of the Larger WorkRobert S. Davis & Company, 1874 - 176 páginas |
Dentro del libro
Resultados 1-5 de 88
Página 14
... equal , when taken together , to two right B- angles ; for their sum is equal to C D E F A that of the two adjacent ... ( Theo . I. ) . But by hypothesis the angles A CD and DCB are together equal to two right angles ; therefore the sum of ...
... equal , when taken together , to two right B- angles ; for their sum is equal to C D E F A that of the two adjacent ... ( Theo . I. ) . But by hypothesis the angles A CD and DCB are together equal to two right angles ; therefore the sum of ...
Página 15
... equal to two right angles ( Theo . I. ) ; and the angles CEB , BED , which the straight line BE forms by meeting the straight line CD , are equal to two right an- gles ; hence the sum of the angles A E C , CEB is equal to the sum of the ...
... equal to two right angles ( Theo . I. ) ; and the angles CEB , BED , which the straight line BE forms by meeting the straight line CD , are equal to two right an- gles ; hence the sum of the angles A E C , CEB is equal to the sum of the ...
Página 17
... equal to the angle E , the side B A will take the direction ED ; therefore the point A will be found some- where in ... ( Theo . IV . ) . THEOREM VII . 47. If two angles of a triangle are equal , the opposite sides are also equal , and the ...
... equal to the angle E , the side B A will take the direction ED ; therefore the point A will be found some- where in ... ( Theo . IV . ) . THEOREM VII . 47. If two angles of a triangle are equal , the opposite sides are also equal , and the ...
Página 18
... equal to the angle C ; then will the side A B be equal to the side A C. B D A For , if the two sides are not equal ... ( Theo . IV . ) , a part equal to the whole , which is impossible ( 26 , Ax . 8 ) . Hence the sides A B and A C cannot ...
... equal to the angle C ; then will the side A B be equal to the side A C. B D A For , if the two sides are not equal ... ( Theo . IV . ) , a part equal to the whole , which is impossible ( 26 , Ax . 8 ) . Hence the sides A B and A C cannot ...
Página 19
... equal to it or less . If the angle C were equal to B , then would the side A B be equal to the side AC ( Theo . VII . ) , which is contrary to the hypothesis ; and if the angle C were less than B , then would the side A B be less than ...
... equal to it or less . If the angle C were equal to B , then would the side A B be equal to the side AC ( Theo . VII . ) , which is contrary to the hypothesis ; and if the angle C were less than B , then would the side A B be less than ...
Otras ediciones - Ver todas
New Elementary Geometry with Practical Applications Benjamin Greenleaf Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD ABCDEF alti altitude Theo angle A CD axis base multiplied bisect chord circum circumference circumscribed cone convex surface D E F diagonal diameter divided ELEMENTARY ALGEBRA ellipse entire surface equal Theo equivalent formed frustum greater GREENLEAF'S half the sum hence homologous homologous sides hypothenuse inches inscribed circle inscribed square intersection magnitudes mean proportional measured by half Metric System number of sides parallelogram parallelopipedon perimeter perpendicular prism PROBLEM quadrilateral radii radius ratio rectangle rectangular regular polygon Required the area Required the volume rhombus right angles Theo right pyramid rods Scholium SCHOOLS sector semicircle side A B side B C similar slant hight solid sphere is equal spherical square described square feet square root tangent THEOREM third triangles A B C triangular triangular prism tude vertex
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 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 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 61 - At a point in a given straight line to make an angle equal to a given angle.
Página 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 93 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
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 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 - FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.
Página 124 - But the solidity of each triangular prism is equal to the product of its base by its altitude ; and.