## The Geometrician: Containing Essays on Plane Geometry, and Trigonometry: with Their Application to the Solutions of a Variety of Problems ... |

### Dentro del libro

Página 8

Signification .

Signification .

**1**+ Х :: Plus , or more , or and , or to be added . Minus , or less , or that the Quantity following**is**to be fubtracted , or taken from**another**. A**ReEtangle**, thus ABXBD denotes the Rectangle contained under the Length ... Página 10

THEOREM I.

THEOREM I.

**If two Triangles**, ABC , DEF , 15 .**have two**sides of the**one**, AB , AC ,**equal**10 twa Sides of the**other**, DE , DF ... the**Triangle**ABC**equal**to the**Triangle**DEF , and the**other**Angles in**one Iriangle**shall be**equal**to their ... Página 11

**If two**Angles B , C , of a Tri - P1.**1**.F17 .**angle**ABC , be**equal**, then the Sides AB , AC , subtending the**equal**Angles , will be**equal**between themselves . For ,**if**AB be not = AC ,**one**of them**is**r the**other**. Página 15

**2**.**If**in**one Triangle**,**two**of its Angles , taken together , are**equal**to**two**Angles of**another Triangle**taken together , in such Case the remaining**Angle**in**one is equal**to the remaining**Angle**in the**other Triangle**. 81. Coroll . 3. Página 16

**each**of them must be = { a Rt . L ,**both**being**equal**to a Rt . L , as hath been juft shewn . * 60 . 85. ...**If**in any**Triangle**,**one**of its Angles**is**either a right or**an**obtufe**Angle**, the**other two**will be**each**of them acute . 87.### Comentarios de la gente - Escribir un comentario

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### Otras ediciones - Ver todas

The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ... Benjamin Donne Sin vista previa disponible - 2018 |

The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ... Benjamin Donne Sin vista previa disponible - 2018 |

The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ... Benjamin Donne Sin vista previa disponible - 2015 |

### Términos y frases comunes

ABCD added affirmative alſo Altitude Angle Baſe becauſe Book called Caſe Center Characteriſtick Circle Circumference common Compaſſes conſequently Conſtruction contained Definition demonſtrated deſcribe Diameter Difference Diſtance divided draw drawn equal Euclid Example Extremes fame Feet Figure firſt four Geometry give given given Line greater Height Hence Interſection join laſt Length leſs Line Logarithm Magnitudes Manner Means meaſuring Method Multiply muſt Nature negative Number Object oppoſite parallel Parallelogram Perpendicular Place Point PROBLEM produced proportional Quantities Radius Ratio Reaſon Rectangle remaining Reſpects right Angle right Line Ruler ſame Scale ſecond Segment ſhall ſhewn Sides Sine ſome Square ſtand Table taken Tangent Term THEOREM theſe Thing third thoſe Triangle Uſe whole whoſe

### Pasajes populares

Página 29 - The lines do not run in a uniform direction from the left to the right, or from the right to the left...

Página 106 - AB, remains the same as it was : Nor is it part of the length of the line AB ; for, if AB be removed from the line KB, the point B, which is the extremity of the line KB, does...

Página 120 - If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let...

Página 15 - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.

Página 43 - ... magnitude. For example, if A, B, C, D be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if...

Página 106 - It is necessary to consider a solid, that is, a magnitude which has length, breadth, and thickness, in order to understand aright the definitions of a point, line and superficies ; for these all arise from a solid, and exist in it ; The boundary, or boundaries which contain a solid, are called superficies, or the boundary which is common to two solids which are contiguous, or which divides one solid into two contiguous parts, is called a superficies...

Página 43 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.

Página 64 - ... is supposed to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18

Página 18 - If two triangles have two sides of the one equal to two sides of the...

Página 106 - KBCL which is contiguous to it, this boundary BC is called a line, and has no breadth : For if it have any, this...