New Elementary Geometry: With Practical Applications : a Shorter Course Upon the Basis of the Larger WorkRobert S. Davis & Company, 1874 - 176 páginas |
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Página 50
... passes through the middle , D , of the chord , and the middle , E , of the arc sub- tended by the chord . Now , any ... pass through them , and but one . Join AB and BC ; and bisect these straight lines by the Join A perpendiculars DE ...
... passes through the middle , D , of the chord , and the middle , E , of the arc sub- tended by the chord . Now , any ... pass through them , and but one . Join AB and BC ; and bisect these straight lines by the Join A perpendiculars DE ...
Página 51
... passing through the three points A , B , C. Again , the center , lying in the perpendicular D E bisecting the chord A B ... pass through three given points . 149. Cor . Two circumferences can intersect in only two points ; for , if they ...
... passing through the three points A , B , C. Again , the center , lying in the perpendicular D E bisecting the chord A B ... pass through three given points . 149. Cor . Two circumferences can intersect in only two points ; for , if they ...
Página 60
... passing through the middle of AB ( Theo . X. Cor . 2 , Bk . I. ) . C E * D B PROBLEM III . At a given point in a straight line to erect a perpendicular to that line . Let A B be the straight line , and let D be a given point in it ...
... passing through the middle of AB ( Theo . X. Cor . 2 , Bk . I. ) . C E * D B PROBLEM III . At a given point in a straight line to erect a perpendicular to that line . Let A B be the straight line , and let D be a given point in it ...
Página 65
... pass through the center ( Theo . V. Cor . 2 , Bk . III . ) , and E being the only point through which they both pass , E must be the center . Scholium . By the same construction , a circumference may be made to pass through three given ...
... pass through the center ( Theo . V. Cor . 2 , Bk . III . ) , and E being the only point through which they both pass , E must be the center . Scholium . By the same construction , a circumference may be made to pass through three given ...
Página 66
... arc cut off by that chord . 6. If two circumferences cut each other , the straight line passing through their centers will bisect at right angles the 66 ELEMENTARY GEOMETRY . Exercises for original thought, on review.
... arc cut off by that chord . 6. If two circumferences cut each other , the straight line passing through their centers will bisect at right angles the 66 ELEMENTARY GEOMETRY . Exercises for original thought, on review.
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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.