Elements of Geometry and Trigonometry |
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Page 67
... square . In those cases , therefore , the exact ratio in numbers cannot be found ; but , by neglecting the last remainder , an approximate ratio will be obtained , more or less correct , according as the operation has been continued a ...
... square . In those cases , therefore , the exact ratio in numbers cannot be found ; but , by neglecting the last remainder , an approximate ratio will be obtained , more or less correct , according as the operation has been continued a ...
Page 73
... square as the unit of surface ; and to se- lect that square , whose side is the unit of length . In this case the measurement which we have regarded merely as relative , becomes absolute : the number 30 , for instance , by which the ...
... square as the unit of surface ; and to se- lect that square , whose side is the unit of length . In this case the measurement which we have regarded merely as relative , becomes absolute : the number 30 , for instance , by which the ...
Page 76
... square ACDE ; take AF E AB ; draw FG parallel to AC , and BH par- allel to AE . = F H D BC G The square ACDE is made up of four parts ; the first ABIF is the square described on AB , since we made AF - AB : the second IDGH is the square ...
... square ACDE ; take AF E AB ; draw FG parallel to AC , and BH par- allel to AE . = F H D BC G The square ACDE is made up of four parts ; the first ABIF is the square described on AB , since we made AF - AB : the second IDGH is the square ...
Page 77
... square ABIF ; take AE L F = AC ; draw CG parallel to to BI , HK parallel to AB , and complete the square K EFLK . The two rectangles CBIG , GLKD , are each measured by AB × BC ; take them away from the whole figure ' ABILKEA , which is ...
... square ABIF ; take AE L F = AC ; draw CG parallel to to BI , HK parallel to AB , and complete the square K EFLK . The two rectangles CBIG , GLKD , are each measured by AB × BC ; take them away from the whole figure ' ABILKEA , which is ...
Page 78
... square AH : for the angles BAC , BAL , being both right angles , AC and AL form one and the same straight line parallel to HB ( Book I. Prop . III . ) ; and consequently the triangle HBC , and the square ÄH , which have the common base ...
... square AH : for the angles BAC , BAL , being both right angles , AC and AL form one and the same straight line parallel to HB ( Book I. Prop . III . ) ; and consequently the triangle HBC , and the square ÄH , which have the common base ...
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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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex