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 σελίδες |
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Αποτελέσματα 11 - 15 από τα 51.
Σελίδα 53
... parallelogram , any of the parallelograms about a di- ameter , together with the two complements , is called a Gno- mon . " Thus the parallelo- " gram HG , together with the " complements AF , FC , is the ઃઃ gnomon of the parallelogram ...
... parallelogram , any of the parallelograms about a di- ameter , together with the two complements , is called a Gno- mon . " Thus the parallelo- " gram HG , together with the " complements AF , FC , is the ઃઃ gnomon of the parallelogram ...
Σελίδα 55
... parallelogram CGKB are also right angles ( Cor . 46. 1. ) . Wherefore CGKB is a square , it is upon the side CB . For the same reason HF also is a square , and D F E and it is upon the side HG , which is equal OF GEOMETRY . BOOK II . 55.
... parallelogram CGKB are also right angles ( Cor . 46. 1. ) . Wherefore CGKB is a square , it is upon the side CB . For the same reason HF also is a square , and D F E and it is upon the side HG , which is equal OF GEOMETRY . BOOK II . 55.
Σελίδα 56
... parallelograms about the diameter of a square are likewise squares . PROP . V. THEOR . If a straight line be divided into two equal parts , and also into two un- equal parts ; the rectangle contained by the unequal parts , together with ...
... parallelograms about the diameter of a square are likewise squares . PROP . V. THEOR . If a straight line be divided into two equal parts , and also into two un- equal parts ; the rectangle contained by the unequal parts , together with ...
Σελίδα 58
... parallelogram CO ; therefore also BN is equal to GR ; and the four rectangles BN , CK , GR , RN are therefore equal to one another , and 80 CK + BN + GR + RN = 4CK Again , because CB is equal to BD , and BD equal ( Cor . 4. 2. ) to BK ...
... parallelogram CO ; therefore also BN is equal to GR ; and the four rectangles BN , CK , GR , RN are therefore equal to one another , and 80 CK + BN + GR + RN = 4CK Again , because CB is equal to BD , and BD equal ( Cor . 4. 2. ) to BK ...
Σελίδα 63
... parallelogram RCDE equal to the rectilineal figure A. If then the sides of it , BE , ED are equal to one another , it is a square , and what was required is done ; but if they are not equal , produce one of them , BE to F , and make EF ...
... parallelogram RCDE equal to the rectilineal figure A. If then the sides of it , BE , ED are equal to one another , it is a square , and what was required is done ; but if they are not equal , produce one of them , BE to F , and make EF ...
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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