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 32
... bisect each other , or divide each other into equal parts . Let ABCD be a parallelogram , and A C , DB its diagonals , intersecting at E ; then will A E equal E C , and BE equal ED . D C E A B For , since AB , CD are parallel , and BD ...
... bisect each other , or divide each other into equal parts . Let ABCD be a parallelogram , and A C , DB its diagonals , intersecting at E ; then will A E equal E C , and BE equal ED . D C E A B For , since AB , CD are parallel , and BD ...
Página 33
... bisect each other at right angles . EXERCISES D A A B FOR ORIGINAL THOUGHT , ON REVIEW . C 86. 1. If the opposite ... bisecting the vertical angle of an isosceles trian- gle bisects the base at right angles . 4. Every equilateral ...
... bisect each other at right angles . EXERCISES D A A B FOR ORIGINAL THOUGHT , ON REVIEW . C 86. 1. If the opposite ... bisecting the vertical angle of an isosceles trian- gle bisects the base at right angles . 4. Every equilateral ...
Página 49
... chord , and also the arc subtended by the chord . Let the radius CE be perpendicular to the chord AB ; then will C E bisect the chord at D , and the arc A B at E. 14 50 arl- LEME ELEMENTARY GEOMETRY . Convers A tous 5 BOOK III . 49.
... chord , and also the arc subtended by the chord . Let the radius CE be perpendicular to the chord AB ; then will C E bisect the chord at D , and the arc A B at E. 14 50 arl- LEME ELEMENTARY GEOMETRY . Convers A tous 5 BOOK III . 49.
Página 50
... bisects the base AB at right angles ; therefore CE bisects also the angle ACB ( Theo . VI . Book I. ) . Since the angles ACD , DCB are equal , the arcs A E ... bisect these straight lines by the perpendiculars DE and FE . Join DF ; then ,
... bisects the base AB at right angles ; therefore CE bisects also the angle ACB ( Theo . VI . Book I. ) . Since the angles ACD , DCB are equal , the arcs A E ... bisect these straight lines by the perpendiculars DE and FE . Join DF ; then ,
Página 51
... bisecting the chord A B , and at the same time in the perpendicular FE bisecting the chord BC ( Theo . V. Cor . 2 ) , must be at the point of their meeting , E. Therefore , since there can be but one center , but one circumference can ...
... bisecting the chord A B , and at the same time in the perpendicular FE bisecting the chord BC ( Theo . V. Cor . 2 ) , must be at the point of their meeting , E. Therefore , since there can be but one center , but one circumference can ...
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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.