New Elementary Geometry: With Practical Applications ; a Shorter Course Upon the Basis of the Larger WorkR.S. Davis & Company, 1873 - 176 páginas |
Dentro del libro
Resultados 1-5 de 63
Página 69
... Altitude of a Triangle is the perpendicular , which measures the distance of any one of its vertices from the opposite side taken as a base ; as the perpendicular A D let fall on the base BC in the triangle ABC . A B D E D C F B 177 ...
... Altitude of a Triangle is the perpendicular , which measures the distance of any one of its vertices from the opposite side taken as a base ; as the perpendicular A D let fall on the base BC in the triangle ABC . A B D E D C F B 177 ...
Página 70
... altitude . THEOREM II . 181. If a triangle and a parallelogram have the same base and altitude , the triangle is equivalent to half the parallelogram . Let ABE be a triangle , and D ABCD a parallelogram having the same base , A B , and ...
... altitude . THEOREM II . 181. If a triangle and a parallelogram have the same base and altitude , the triangle is equivalent to half the parallelogram . Let ABE be a triangle , and D ABCD a parallelogram having the same base , A B , and ...
Página 71
... altitude , or having the same altitude and half of the same base . 183. Cor . 2. All triangles which have equal bases and altitudes are equivalent . THEOREM III . 184. Two rectangles having equal altitudes are to each other as their ...
... altitude , or having the same altitude and half of the same base . 183. Cor . 2. All triangles which have equal bases and altitudes are equivalent . THEOREM III . 184. Two rectangles having equal altitudes are to each other as their ...
Página 72
... altitudes , are to each other as their bases A B , A E. THEOREM IV . 185. Any two rectangles are to each other as the prod- ucts of their bases multiplied by their altitudes . Let ABCD , AEGF be two rectangles ; then will ABCD be to ...
... altitudes , are to each other as their bases A B , A E. THEOREM IV . 185. Any two rectangles are to each other as the prod- ucts of their bases multiplied by their altitudes . Let ABCD , AEGF be two rectangles ; then will ABCD be to ...
Página 73
... altitude A D , are to each other as their bases , A B , A E. In like manner the two rectangles A E HD , AEG F ... altitude , provided we understand by this product the product of two numbers , one of which represents the number of linear ...
... altitude A D , are to each other as their bases , A B , A E. In like manner the two rectangles A E HD , AEG F ... altitude , provided we understand by this product the product of two numbers , one of which represents the number of linear ...
Otras ediciones - Ver todas
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.