Elements of Geometry and Trigonometry |
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Page 5
... Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas , - Problems relating to the Fourth Book , 41 57 68 98 BOOK V. Regular Polygons and the Measurement of the Circle , 109 ...
... Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas , - Problems relating to the Fourth Book , 41 57 68 98 BOOK V. Regular Polygons and the Measurement of the Circle , 109 ...
Page 12
... problem . The common name , proposition , is applied indifferently , to theorems , problems , and lemmas . A corollary is an obvious consequence , deduced from one or several propositions . A scholium is a remark on one or several ...
... problem . The common name , proposition , is applied indifferently , to theorems , problems , and lemmas . A corollary is an obvious consequence , deduced from one or several propositions . A scholium is a remark on one or several ...
Page 57
... PROBLEMS RELATING TO THE FIRST AND THIRD BOOKS . PROBLEM I. To divide a given straight line into two equal parts . Let AB be the given straight line . From the points A and B as centres , with a radius greater than the half of AB ...
... PROBLEMS RELATING TO THE FIRST AND THIRD BOOKS . PROBLEM I. To divide a given straight line into two equal parts . Let AB be the given straight line . From the points A and B as centres , with a radius greater than the half of AB ...
Page 58
... PROBLEM III . From a given point , without a straight line , to let fall a perpen- dicular on this line . Let A be the point , and BD the straight line . From the point A as a centre , and with a radius sufficiently great , describe an ...
... PROBLEM III . From a given point , without a straight line , to let fall a perpen- dicular on this line . Let A be the point , and BD the straight line . From the point A as a centre , and with a radius sufficiently great , describe an ...
Page 59
... PROBLEM V. To divide a given arc , or a given angle , into two equal parts . First . Let it be required to divide the - arc AEB into two equal parts . From the points A and B , as centres , with the same radius , describe two arcs ...
... PROBLEM V. To divide a given arc , or a given angle , into two equal parts . First . Let it be required to divide the - arc AEB into two equal parts . From the points A and B , as centres , with the same radius , describe two arcs ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex