Elements of Geometry and Trigonometry: With Applications in Mensuration |
From inside the book
Results 1-5 of 58
Page 12
... parallel , when being produced either way , as far as we please , they will not meet each other . 31. Two curves are said to be parallel or concentric , when they are the same dis- tance from each other at every point . 32. Oblique ...
... parallel , when being produced either way , as far as we please , they will not meet each other . 31. Two curves are said to be parallel or concentric , when they are the same dis- tance from each other at every point . 32. Oblique ...
Page 15
... parallel . 2. The trapezoid , which has only two of its sides parallel . 3. The parallelogram , which has its opposite sides parallel . 49. There are four kinds of parallelograms : 1. The rhomboid , which has no right angle . 2. The ...
... parallel . 2. The trapezoid , which has only two of its sides parallel . 3. The parallelogram , which has its opposite sides parallel . 49. There are four kinds of parallelograms : 1. The rhomboid , which has no right angle . 2. The ...
Page 25
... the angle C were less than B , then , by the first part of the theorem , the side AB would be less than AC , which is also contrary to the hypothesis Hence , since C Of Parallel Lines . cannot be equal to B , 3 BOOK 1 . 25.
... the angle C were less than B , then , by the first part of the theorem , the side AB would be less than AC , which is also contrary to the hypothesis Hence , since C Of Parallel Lines . cannot be equal to B , 3 BOOK 1 . 25.
Page 26
... parallel lines , the alternate angles will be equal . A If two parallel straight lines , AB CD , are intersected by a third line GH , the angles AEF and EFD are called alternate angles . It is required to prove that these C angles are ...
... parallel lines , the alternate angles will be equal . A If two parallel straight lines , AB CD , are intersected by a third line GH , the angles AEF and EFD are called alternate angles . It is required to prove that these C angles are ...
Page 27
... parallel . E / Α B D C G For , if they are not parallel , suppose through the point F the line FG to be drawn parallel to AB . Then , because of the parallels AB , FG , the alternate angles ,. AEF and EFG will be equal ( Th . xii ) ...
... parallel . E / Α B D C G For , if they are not parallel , suppose through the point F the line FG to be drawn parallel to AB . Then , because of the parallels AB , FG , the alternate angles ,. AEF and EFG will be equal ( Th . xii ) ...
Other editions - View all
Common terms and phrases
adjacent angles allel altitude angles equal bisect called centre chains chord circle whose diameter circumference column common comp cone consequently convex surface Cosine Cosine D Cotang cylinder Davies decimal diagonal dicular distance divided draw equal Bk equal to half equivalent figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC similar similar triangles slant height solidity sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards