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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 páginas |
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Página 78
... touches the circle ; and C G H B A D that it touches it only in one point ; because , if it did meet the circle in two , it would fall within it ( 2. 3. ) . Also it is evident that there can be but one straight line which touches the ...
... touches the circle ; and C G H B A D that it touches it only in one point ; because , if it did meet the circle in two , it would fall within it ( 2. 3. ) . Also it is evident that there can be but one straight line which touches the ...
Página 79
... touch the circle ABC , in C , and from C let CA be drawn at right angles to DE ; the centre of the circle is in CA. A For , if not , let F be the centre , if possible , and join CF : Because DE touches the circle ABC , and FC is drawn ...
... touch the circle ABC , in C , and from C let CA be drawn at right angles to DE ; the centre of the circle is in CA. A For , if not , let F be the centre , if possible , and join CF : Because DE touches the circle ABC , and FC is drawn ...
Página 87
... touch a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line which touches the circle , shall be equal to the angles in the alter- nate segments of the circle ...
... touch a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line which touches the circle , shall be equal to the angles in the alter- nate segments of the circle ...
Página 88
... touches the circle ; and because AB , drawn from the point of contact A , cuts the circle , the angle DAB is equal to the angle in the alternate segment AHB ( 32. 3. ) ; but the angle DAB is equal to the angle C , therefore also the ...
... touches the circle ; and because AB , drawn from the point of contact A , cuts the circle , the angle DAB is equal to the angle in the alternate segment AHB ( 32. 3. ) ; but the angle DAB is equal to the angle C , therefore also the ...
Página 89
... touches the circle ABC , and BC is drawn from the point of contact B , the angle FBC is equal ( 32. 3. ) to the angle in the alternate segment BAC : but the angle FBC is equal to the angle D ; therefore the angle in the D E B SH segment ...
... touches the circle ABC , and BC is drawn from the point of contact B , the angle FBC is equal ( 32. 3. ) to the angle in the alternate segment BAC : but the angle FBC is equal to the angle D ; therefore the angle in the D E B SH segment ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore