Elements of Geometry and Trigonometry |
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Page 13
... taken from equals , the remainders will be equal . 4. If equals be added to unequals , the wholes will be un- equal . 5. If equals be taken from unequals , the remainders will be unequal . 6. Things which are double of the same thing ...
... taken from equals , the remainders will be equal . 4. If equals be added to unequals , the wholes will be un- equal . 5. If equals be taken from unequals , the remainders will be unequal . 6. Things which are double of the same thing ...
Page 178
... taken in the same sphere or in equal spheres , are to each other as their altitudes ; and any zone is to the surface of the sphere as the altitude of the zone is to the diameter of the sphere . PROPOSITION XI . LEMMA . If a triangle and ...
... taken in the same sphere or in equal spheres , are to each other as their altitudes ; and any zone is to the surface of the sphere as the altitude of the zone is to the diameter of the sphere . PROPOSITION XI . LEMMA . If a triangle and ...
Page 231
... taken from the column marked 0 , are to be prefixed . If the four figures found , stand opposite to a row of six ... taken from the line below , if any dots shall have been passed over , in passing along the horizontal line : thus , the ...
... taken from the column marked 0 , are to be prefixed . If the four figures found , stand opposite to a row of six ... taken from the line below , if any dots shall have been passed over , in passing along the horizontal line : thus , the ...
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