## Outlines of Geometry ... |

### Dentro del libro

Resultados 1-5 de 23

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**Problems**of Relation - Proof ... XXIX . Equality 53 54 XXX . Enumeration of cases in which Triangles are equal 55 ... ... XXXI . Consideration of cases in which a moving Point is arrested XXXII . The**Problem**of Pythagoras 60 999 57 ... Página 2

... the beginning is insup- portable . And so it has come to pass , that the student is set down at once amidst Theorems and Axioms , Definitions , Points ,

... the beginning is insup- portable . And so it has come to pass , that the student is set down at once amidst Theorems and Axioms , Definitions , Points ,

**Problems**, Postu- lates , and Propositions , until his brain is wearied 2. Página 5

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**Problem**, " which is the finding out of something new from facts which we understood before . Then we went on to give this unknown idea a name , i.e. , " a line ; " and lastly , having examined what it would represent , we attached that ... Página 16

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**problem**we have to solve . Now , conceive that AB remains fixed in a horizontal position , while AC revolves without alter- ing its form or length ( 3 , 4. ) c For example , conceive one leg of a pair of compasses to remain fixed in a ... Página 48

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**problem**now appears under the following form . Every triangle has six parts , three sides and three angles , and may assume an infinite variety of shapes , according as the number of degrees in each of its angles varies , or of sizes ...### Otras ediciones - Ver todas

Outlines of Geometry: Or, the Motion of a Point Walter Marsham Adams Sin vista previa disponible - 2016 |

Outlines of Geometry; Or, the Motion of a Point Walter Marsham Adams Sin vista previa disponible - 2019 |

### Términos y frases comunes

Algebra Algebraic Geometry already arrest ascertained axis becomes boundary points breadth burning-glass calculated called centre CHAPTER circumference conceived Conic Sections considered course curve Cycloid Cyclone cyclonoid decrease deduced definite distance depends Descartes described determine Differential Calculus directions with regard ellipse enclosed equation Euclid examine example Existence figure fixed point force of impulsion further geometrical given point gradually increase Hence Hyperbola idea infinite Infinitesimal Calculus infinity latter law of motion length Loci locus magnitude Mathematics means measure method moving point namely number of degrees number of straight object observed obtained opposite orbit Parabola pass plane point in common point move polygon principle PROBLEM OF PYTHAGORAS proved radius Rectangular Co-ordinates relation right angles space storm field straight line drawn subtends Suppose surface tangent theodolite three consecutive points three points tion treatise triangle Trigonometry vary wind words zero

### Pasajes populares

Página 52 - LET it be granted that a straight line may be drawn from any one point to any other point.

Página 23 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.

Página 26 - A segment of a circle is the figure contained by a straight line and the circumference it cuts off.

Página 29 - When a straight line standing on another straight line, makes the adjacent angles equal to one another, each of these angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.

Página 21 - 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 51 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.

Página 51 - Let BAC be the given rectilineal angle, it is required to bisect it. Take any point D in AB, and from AC cut (i.

Página 41 - all right angles (for example) are equal to one another ; " that " when one straight line falling on two other straight lines makes the two interior angles on the same side less than two right angles, these two straight lines, if produced, shall meet on the side, where are the two angles less than two right angles ; " are manifestly principles which bear no analogy to such barren truisms as these, " Things that are equal to one and the same thing are equal to one another.

Página 80 - ... but the wind drew round and round, according to the now known laws of these circular storms, and she, with a perseverance that might have been more wisely employed, continued to scud " right before it " for four successive days and nights, by which time she had actually circumnavigated the storm-field five times.

Página 22 - And that a circle may be described from any centre, at any distance from that centre.