Elements of Geometry and Trigonometry |
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Page 4
... becomes a circle , and this principle is made the basis of several important de- monstrations in Book VIII . Book II . , on Ratios and Proportions , has been partly adopted from the Encyclopedia Metropolitana , and will , it is believed ...
... becomes a circle , and this principle is made the basis of several important de- monstrations in Book VIII . Book II . , on Ratios and Proportions , has been partly adopted from the Encyclopedia Metropolitana , and will , it is believed ...
Page 12
... becomes evident by means of a train of reasoning called a demonstration . A problem is a question proposed , which requires a solu- tion . A lemma is a subsidiary truth , employed for the demonstra- tion of a theorem , or the solution ...
... becomes evident by means of a train of reasoning called a demonstration . A problem is a question proposed , which requires a solu- tion . A lemma is a subsidiary truth , employed for the demonstra- tion of a theorem , or the solution ...
Page 15
... becoming CD , the other CE . From the point C draw the line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a straight line ...
... becoming CD , the other CE . From the point C draw the line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a straight line ...
Page 73
... becomes absolute : the number 30 , for instance , by which the rectangle A was measured , now represents 30 superficial units , or 30 of those squares , which have each of their sides equal to unity , as the diagram exhibits . In ...
... becomes absolute : the number 30 , for instance , by which the rectangle A was measured , now represents 30 superficial units , or 30 of those squares , which have each of their sides equal to unity , as the diagram exhibits . In ...
Page 76
... become squares , and the square described on the whole line would be equivalent to four times the square described on half the line . Scholium . This property is equivalent to the property de- monstrated in algebra , in obtaining the ...
... become squares , and the square described on the whole line would be equivalent to four times the square described on half the line . Scholium . This property is equivalent to the property de- monstrated in algebra , in obtaining the ...
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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 convex surface Cosine 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 logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex