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 TrigonometryLippincott, Grambo & Company, 1854 - 317 sider |
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Resultat 1-5 av 28
Side 11
... doubles of the same thing , are equal to one another . 7. Things which are halves of the same thing , are equal to one another . 8. Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to ...
... doubles of the same thing , are equal to one another . 7. Things which are halves of the same thing , are equal to one another . 8. Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to ...
Side 34
... double ( 34. 1. ) of the triangle BDC ; and they are therefore equal to one an- other . A D F B C But , if the sides AD , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not terminated in the same point ; then ...
... double ( 34. 1. ) of the triangle BDC ; and they are therefore equal to one an- other . A D F B C But , if the sides AD , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not terminated in the same point ; then ...
Side 36
... double of the triangle . Let the parallelogram ABCD and the tri- A angle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD is double of the trian- gle EBC . Join AC ; then the triangle ABC is ...
... double of the triangle . Let the parallelogram ABCD and the tri- A angle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD is double of the trian- gle EBC . Join AC ; then the triangle ABC is ...
Side 37
... double of the triangle AEC . And the paral- lelogram FECG is likewise double ( 41. 1. ) of the triangle AEC , because it is upon the same base , and between N BE the same parallels : Therefore the parallelogram FECG is equal to the ...
... double of the triangle AEC . And the paral- lelogram FECG is likewise double ( 41. 1. ) of the triangle AEC , because it is upon the same base , and between N BE the same parallels : Therefore the parallelogram FECG is equal to the ...
Side 40
... double ( 41. 1. ) of the triangle ABD , because they are upon the same base , BD , and between the same parallels , BD , AL ; and the square GB is double of the triangle BFC be- cause these also 40 ELEMENTS.
... double ( 41. 1. ) of the triangle ABD , because they are upon the same base , BD , and between the same parallels , BD , AL ; and the square GB is double of the triangle BFC be- cause these also 40 ELEMENTS.
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Vanlige uttrykk og setninger
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