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 11
... Base of a polygon is the side on which the polygon is supposed to stand . But in the case of the isosceles triangle , it is usual to consider that side the base which BOOK I. 11.
... Base of a polygon is the side on which the polygon is supposed to stand . But in the case of the isosceles triangle , it is usual to consider that side the base which BOOK I. 11.
Página 12
... base which is not equal to either of the other sides . AXIOMS . 26. An Axiom is a self - evident truth ; such as , - 1. Things which are equal to the same thing , are equal to each other . 2. If equals be added to equals , the sums will ...
... base which is not equal to either of the other sides . AXIOMS . 26. An Axiom is a self - evident truth ; such as , - 1. Things which are equal to the same thing , are equal to each other . 2. If equals be added to equals , the sums will ...
Página 33
... base will be equal . 3. The line bisecting the vertical angle of an isosceles trian- gle bisects the base at right angles . 4. Every equilateral triangle is also equiangular . 5. Any side of a triangle is less than the sum of the other ...
... base will be equal . 3. The line bisecting the vertical angle of an isosceles trian- gle bisects the base at right angles . 4. Every equilateral triangle is also equiangular . 5. Any side of a triangle is less than the sum of the other ...
Página 46
... base A B retaining its position , the curve line AEB must fall exactly on the curve line AFB ; otherwise there would be A F E B points in the one or the other unequally distant from the cen- ter , which is contrary to the definition of ...
... base A B retaining its position , the curve line AEB must fall exactly on the curve line AFB ; otherwise there would be A F E B points in the one or the other unequally distant from the cen- ter , which is contrary to the definition of ...
Página 50
... 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 , E B are equal ( Theo . IV . ) ; hence the radius CE , which is perpendicular to the chord ...
... 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 , E B are equal ( Theo . IV . ) ; hence the radius CE , which is perpendicular to the chord ...
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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.