## 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, 1851 - 317 sider |

### Inni boken

Resultat 1-5 av 28

Side 121

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**altitude**of a triangle is the straight line drawn from its vertex perpendicular to the base . The**altitude**of a parallelogram is the perpendicu- lar which measures the distance of two oppo- site sides , taken as bases . And the**altitude**... Side 122

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**altitudes**, are to one another as their bases . Let the figures be placed so as to have their bases in the same straight line ; and having drawn perpendiculars from the vertices of the triangles to the bases , the straight line which ... Side 123

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**altitude**, viz . the perpendicular drawn from the point E to AB , they are to one another as their bases ; and for the same reason , as the triangle CDE to the triangle ADE , so is CE to EA . Therefore , as BD to DA , so is CE to EA ... Side 132

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**altitude**, AB : FE :: DB : BE ( 1. 6. ) , also , BC : FE :: GB : BF ( 1. 6. ) ; therefore DB : BE :: GB : BF ( 11. 5. ) . Wherefore , the sides of the parallelograms AB , BC about their equal angles are reciprocally pro- portional . But ... Side 141

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**altitudes**. SCHOLIUM . Hence the product of the base by the**altitude**may be assumed as the measure of a rectangle , provided we understand by this product the pro- duct of two numbers , one of which is the number of linear units ...### Andre utgaver - Vis alle

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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |

### Vanlige uttrykk og setninger

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore