## Formulas and theorems in pure mathematics |

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Page 235

When the axes are equal, or BC=AC, the

hyperbola becomes rectangular or a equilateral. 1158 Any

the orthogonal projection of a circle or rectangular hyperbola respectively. Proof.

When the axes are equal, or BC=AC, the

**ellipse**becomes a circle, and thehyperbola becomes rectangular or a equilateral. 1158 Any

**ellipse**or hyperbola isthe orthogonal projection of a circle or rectangular hyperbola respectively. Proof.

Page 821

5955 The momental

touching the sides at their mid-points. Proof. — (Fig. 189.) The inscribed

which touches two sides at their mid-points, also touches the third side at its ...

5955 The momental

**ellipse**for the centroid of a triangle is the inscribed**ellipse**touching the sides at their mid-points. Proof. — (Fig. 189.) The inscribed

**ellipse**,which touches two sides at their mid-points, also touches the third side at its ...

Page 834

The ratio of the difference of two Fagnanian arcs on the

the two corresponding arcs on the hyperbola is equal to the product of e* and the

four abscissae of the points on the

The ratio of the difference of two Fagnanian arcs on the

**ellipse**to the difference ofthe two corresponding arcs on the hyperbola is equal to the product of e* and the

four abscissae of the points on the

**ellipse**. SECTOR AND SEGMENT OF ...### What people are saying - Write a review

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### Contents

Introduction The C G S System of Units | 1 |

VHI Common and Hyperbolic Logarithms of | 7 |

QUANT1C8 1620 | 30 |

Copyright | |

108 other sections not shown

### Common terms and phrases

becomes Binomial Theorem bisect changes of sign chord circumscribing circle columns conic conjugate constant continued fraction convergent cosec cosine curve denoted determinant diameter divided eliminant ellipse equal equate coefficients expand factors figure formula function given circle given ratio Hence hyperbola imaginary roots infinite inscribed circle integer integral intersect inverse points limits logarithm method Multiply negative nine-point circle notation obtained orthogonally pair parabola parallel partial fractions perpendicular plane positive powers Proof Proof.—By Proof.—In Proof.—Let Proof.—The quantic quantities quotient radical axis radius respect result right angle rows Rule sides similar triangles Similarly sine singular solution solution squares substituting successive tangent Taylor's theorem theorem tion transformed triangle ABC unity vanishes variables zero