New Elementary Geometry: With Practical Applications ; a Shorter Course Upon the Basis of the Larger WorkR.S. Davis & Company, 1873 - 176 páginas |
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Página 16
... third side B C will coincide with the third side EF ( 26 , Ax . 10 ) . Hence the triangle A B C coincides with triangle D E F , and they are therefore equal ( 26 , Ax . 12 ) . 43. Cor . When , in two triangles , these three parts are ...
... third side B C will coincide with the third side EF ( 26 , Ax . 10 ) . Hence the triangle A B C coincides with triangle D E F , and they are therefore equal ( 26 , Ax . 12 ) . 43. Cor . When , in two triangles , these three parts are ...
Página 20
... third sides , CF and A C , are equal ( Theo . IV . Cor . ) . But ABF , being a straight line , is shorter than A CF , which is a broken ' line ( 26 , Ax . 10 ) ; therefore AB , the half of ABF ' , is shorter than AC , the half of ACF ...
... third sides , CF and A C , are equal ( Theo . IV . Cor . ) . But ABF , being a straight line , is shorter than A CF , which is a broken ' line ( 26 , Ax . 10 ) ; therefore AB , the half of ABF ' , is shorter than AC , the half of ACF ...
Página 21
... third side of that which has the greater angle will be greater than the third side of the other . Let ABC , DEF be two triangles , hav- ing the side A B equal to DE , and AC equal to DF , and the angle A greater than D ; B then will the ...
... third side of that which has the greater angle will be greater than the third side of the other . Let ABC , DEF be two triangles , hav- ing the side A B equal to DE , and AC equal to DF , and the angle A greater than D ; B then will the ...
Página 22
... third side of the one greater than the third side of the other , the angle contained by the sides of that which has the greater third side will be greater than the angle contained by the sides of the other . Let A B C , D E F be two ...
... third side of the one greater than the third side of the other , the angle contained by the sides of that which has the greater third side will be greater than the angle contained by the sides of the other . Let A B C , D E F be two ...
Página 28
... third will be found by subtracting that sum from two right angles . 70. Cor . 2. If two angles in one triangle be respectively equal to two angles in another , their third angles will also be equal . 71. Cor . 3. A triangle cannot have ...
... third will be found by subtracting that sum from two right angles . 70. Cor . 2. If two angles in one triangle be respectively equal to two angles in another , their third angles will also be equal . 71. Cor . 3. A triangle cannot have ...
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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.