Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added Elements of Plane and Spherical TrigonometryW. E. Dean, 1851 - 317 σελίδες |
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Σελίδα 37
Containing the First Six Books of Euclid, with a Supplement on the Quadrature ... rectangle , equivalent to the triangle ABC ; and therefore the same construction will apply to the problem : to make a triangle equivalent to a given rectangle ...
Containing the First Six Books of Euclid, with a Supplement on the Quadrature ... rectangle , equivalent to the triangle ABC ; and therefore the same construction will apply to the problem : to make a triangle equivalent to a given rectangle ...
Σελίδα 38
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids ... rectangle , having a side of a given length : for , if the angle D be a right angle , and AB the given side , the ...
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids ... rectangle , having a side of a given length : for , if the angle D be a right angle , and AB the given side , the ...
Σελίδα 46
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of ... length be found . COR . Since a triangle may be converted into an equivalent rectangle , it follows that any polygon ...
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of ... length be found . COR . Since a triangle may be converted into an equivalent rectangle , it follows that any polygon ...
Σελίδα 47
Containing the First Six ... length , and draw BFD * meeting the prolongation of AE in D ; then produce EF till FG is equal to HB : draw BGC , HFK , parallel to AED , and through the point D draw DKC parallel to AB or EG ; then , the ...
Containing the First Six ... length , and draw BFD * meeting the prolongation of AE in D ; then produce EF till FG is equal to HB : draw BGC , HFK , parallel to AED , and through the point D draw DKC parallel to AB or EG ; then , the ...
Σελίδα 48
... rectangle contained by AD and DC , we shall simply say " the rectangle AD . DC , placing a point between the two sides of the " rectangle . " A. In Geometry , the product of two lines means the same thing as their rectangle , and this ...
... rectangle contained by AD and DC , we shall simply say " the rectangle AD . DC , placing a point between the two sides of the " rectangle . " A. In Geometry , the product of two lines means the same thing as their rectangle , and this ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore