## A system of practical mathematics; being no.xvi. of a new series of school-books |

### Dentro del libro

Página 15

In algebraic multiplication three

In algebraic multiplication three

**things**are to be attended to ; first , the sign ; second , the coefficient ... And the letters**of**both factors , written after**each other**as the letters**of**a word , form the literal part**of**the product ... Página 36

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(

**2**. )**If equal**quantities be taken from**equal**quantities , the remainders will be**equal**. ( 3. ) ... that taking a minus quantity from**one**side to the**other**, and making it plus , is**equivalent**to**adding equals**to**equals .** Página 83

**Things**that are**equal**to the same**thing are equal**to ach**other**.**2**.**If equals be added to equals , the**sums are**equals**. 3. If**equals**be taken ... 6**Things**which are double of the same , or**equal things**, re**equal to one another**. 7. Página 94

To

To

**each of**these**equals add**the ACB , .. the**two**Ls ACD , ACB are the three Ls CAB , ABC , and BCA , but the**two**Ls ACD ...**If two**angles in**one**triangle be**equal**to**two**angles in**another**triangle , the remaining angles**of**those ... Página 100

**2**. The squares described on**equal**lines are**equal to each other**. E D G OA are A H 10 F B PROPOSITION XXXII . ... the**two**As DGO and OFB are together the**two**As DEO and OHB ; taking these**equals**from the**equal**As DCB and DAB , there ...### Comentarios de la gente - Escribir un comentario

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### Otras ediciones - Ver todas

A System of Practical Mathematics: Being No.XVI. of a New Series of School-Books Scottish School-Book Assoc Sin vista previa disponible - 2016 |

### Términos y frases comunes

acres added base body breadth bushels called cent centre chord circle circumference common contained Cosec Cosine Cotang course cube depth describe diameter difference distance divided divisor draw drawn equal equation EXAMPLE EXERCISES feet field figure Find the area four fraction frustum gallons gauge given gives greater half height hence inches join latitude length less logarithm marked mean measured meet miles Multiply NOTE objects opposite parallel perpendicular plane poles prism PROBLEM Prop proportional PROPOSITION pyramid quantity quotient radius ratio rectangle Reduce remainder right angles root RULE Secant segment sides similar Sine solidity square station straight line subtract surface taken Tang third triangle whole yards

### Pasajes populares

Página 124 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.

Página 115 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or...

Página 79 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.

Página 80 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.

Página 84 - ... 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 80 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Página 136 - To draw a straight line perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH ; it is required to draw from the point A a straight line perpendicular to the plane BH.

Página 118 - ... of the base, have the same ratio which the other sides of the triangle have to one...

Página 71 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.

Página 125 - Weigh the denser body and the compound mass, separately, both in water and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...