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, 1836 - 311 páginas |
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... given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct . to the defects , the prolixness and obscurity that have so often ...
... given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct . to the defects , the prolixness and obscurity that have so often ...
Página 2
... given in numbers . Geometrical solution , is the answer given by the principles of Geome- try . And a Mechanical solution , is one obtained by trials . 10. A Lemma is a preparatory proposition , laid down in order to shorten the ...
... given in numbers . Geometrical solution , is the answer given by the principles of Geome- try . And a Mechanical solution , is one obtained by trials . 10. A Lemma is a preparatory proposition , laid down in order to shorten the ...
Página 18
... given point A , to the inde- finite straight line DE , of which AB is perpendicular ; then shall the per- pendicular AB be less than AC , and AC less than AD , and so on . For , the angle ABC being a right one , the angle ACB is acute ...
... given point A , to the inde- finite straight line DE , of which AB is perpendicular ; then shall the per- pendicular AB be less than AC , and AC less than AD , and so on . For , the angle ABC being a right one , the angle ACB is acute ...
Página 21
... given point G , no more than one line can be drawn parallel to a given line CD . For there is but one line AB , which makes the sum of the two angles AGH , GHC , equal to two right angles . Every other line , KL for example , would make ...
... given point G , no more than one line can be drawn parallel to a given line CD . For there is but one line AB , which makes the sum of the two angles AGH , GHC , equal to two right angles . Every other line , KL for example , would make ...
Página 23
... given , or merely their sum , the third will be found by subtracting that sum from two right angles . COR . 2. If two angles of one triangle are respectively equal to two an- gles of another , the third angles will also be equal , and ...
... given , or merely their sum , the third will be found by subtracting that sum from two right angles . COR . 2. If two angles of one triangle are respectively equal to two an- gles of another , the third angles will also be equal , and ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC triangle DEF wherefore