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 sider |
Inni boken
Side 22
... triangle upon a given finite straight line Let AB be the given straight line ; it is required to describe an ... ABC is an equilateral C D A B E triangle . Because the point A is the centre of the circle BCD , AC is equal ( 11 ...
... triangle upon a given finite straight line Let AB be the given straight line ; it is required to describe an ... ABC is an equilateral C D A B E triangle . Because the point A is the centre of the circle BCD , AC is equal ( 11 ...
Side 23
... triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the ... triangle ABC to the tri- angle DEF ; and the other angles , to which the equal sides are op- AA B C E posite , shall ...
... triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the ... triangle ABC to the tri- angle DEF ; and the other angles , to which the equal sides are op- AA B C E posite , shall ...
Side 24
... triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB coinciding with DE , AC shall ...
... triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB coinciding with DE , AC shall ...
Side 25
... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the ...
... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the ...
Side 26
... triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle F C D ACD , the ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB ...
... triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle F C D ACD , the ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB ...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1819 |
Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition 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 MDCCCXX 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