Elements of Geometry and Trigonometry |
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Page 144
... prism . Hence , the sum of these rectan- gles , or the convex surface of the prism , is equal to ( AB + BC + CD + DE + EA ) × AF ; that is , to the perimeter of the base of the prism multi plied by its altitude . B Cor . If two right prisms ...
... prism . Hence , the sum of these rectan- gles , or the convex surface of the prism , is equal to ( AB + BC + CD + DE + EA ) × AF ; that is , to the perimeter of the base of the prism multi plied by its altitude . B Cor . If two right prisms ...
Page 150
... prism ( Def . 6. ) ; and that prism is right , because the side BF is perpendicular to its base . But the right prism Badc - g is divided by the plane BH into two equal right prisms Bad - h , Bcd - h ; for , the bases Bad , Bcd , of these ...
... prism ( Def . 6. ) ; and that prism is right , because the side BF is perpendicular to its base . But the right prism Badc - g is divided by the plane BH into two equal right prisms Bad - h , Bcd - h ; for , the bases Bad , Bcd , of these ...
Page 159
... prism , which having ABC for its base , is equal to their difference . Divide the altitude AT into equal parts Ax ... prism DEF - G is equivalent to the first interior prism def - a , because they have the same altitude k , and their ...
... prism , which having ABC for its base , is equal to their difference . Divide the altitude AT into equal parts Ax ... prism DEF - G is equivalent to the first interior prism def - a , because they have the same altitude k , and their ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex