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 |
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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 triangle . D A B E Because the point A is the centre of the circle BCD , AC is equal ( 11. Definition ) ...
... triangle upon a given finite straight line Let AB be the given straight line ; it is required to describe an ... ABC is an equilateral triangle . D A B E Because the point A is the centre of the circle BCD , AC is equal ( 11. Definition ) ...
Side 23
... triangle ABC to the tri- angle DEF ; and the D other angles , to which B E F the equal sides are op- * The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are every way equal , posite ...
... triangle ABC to the tri- angle DEF ; and the D other angles , to which B E F the equal sides are op- * The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are every way equal , posite ...
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 coincide ...
... 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 coincide ...
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 base ...
... 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 base ...
Side 26
... triangles is without the other trian- gle , because AC is equal to AD , the ... triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two ...
... triangles is without the other trian- gle , because AC is equal to AD , the ... triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two ...
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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 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