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 2
... COMMON SCHOOL ARITHMETIC , NATIONAL ARITHMETIC . Entered according to Act of Congress , in the year 1873 , by ROBERT S. DAVIS & COMPANY , In the office of the Librarian of Congress , at Washington . PREFACE . THE amount of time usually ...
... COMMON SCHOOL ARITHMETIC , NATIONAL ARITHMETIC . Entered according to Act of Congress , in the year 1873 , by ROBERT S. DAVIS & COMPANY , In the office of the Librarian of Congress , at Washington . PREFACE . THE amount of time usually ...
Página 8
... common vertex , as A ; and a common side , as A B. 12. A Right Angle is one which is formed by a straight line and a per- pendicular to it ; as the angle CAB . 13. An Acute Angle is one which is less than a right angle ; as the angle ...
... common vertex , as A ; and a common side , as A B. 12. A Right Angle is one which is formed by a straight line and a per- pendicular to it ; as the angle CAB . 13. An Acute Angle is one which is less than a right angle ; as the angle ...
Página 14
... common point , making adjacent angles , which together are equal to two right angles , the two lines form one and the same straight line . Let the straight line DC meet the two straight lines A C , CB at the common point C , making the ...
... common point , making adjacent angles , which together are equal to two right angles , the two lines form one and the same straight line . Let the straight line DC meet the two straight lines A C , CB at the common point C , making the ...
Página 15
... common angle C E B , and there will remain the angle A E C , equal to its opposite angle , BED ( 26 , Ax . 3 ) . In the same manner it may be shown that the angle CEB is equal to its opposite angle , A E D. 40. Cor . 1. The four angles ...
... common angle C E B , and there will remain the angle A E C , equal to its opposite angle , BED ( 26 , Ax . 3 ) . In the same manner it may be shown that the angle CEB is equal to its opposite angle , A E D. 40. Cor . 1. The four angles ...
Página 18
... common , and the angle B equal to the angle A C B by hypothesis ; therefore , since two sides and the included angle in the one are equal to two sides and the included angle in the other , each to each , the triangle DBC is equal to the ...
... common , and the angle B equal to the angle A C B by hypothesis ; therefore , since two sides and the included angle in the one are equal to two sides and the included angle in the other , each to each , the triangle DBC is equal to the ...
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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.