Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 69
3) or (5) will give us m when n isgiven ; or give us n when m is given. Scholium 3. The square root of (4) gives^^sin. (n—m)=ABy which shows the equality of two surfaces, one of which is ob-viously the rectangle of the two axes.Let us examine the other. Let n represent the angle^CB, and m the angle… … THE ELLIPSE. 61 MK=zA sin.(7j—7»),But NC=B. Whence MK-NC=^AB ^r[s.,{n—m)= the parallelogramNQPM. Four times this parallelogram is the parallelogramML, and four times the parallelogram -D (7^^ which is measuredby AB, is equal to the parallelogram HF. Hence equation (4)reveals this general truth: The…
Geometry, Analytic · Calculus
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![An illustration from Divina proportione : opera a tutti glingegni perspicaci e curiosi necessaria oue ciascun studioso di philosophia: prospettiua pictura sculptura: architectura: musica: e altre mathematice: suavissima: sotile: e admirabile doctrina consequira: e delecterassi: co[n] varie questione de secretissima scientia (1509)](https://img.insideoutlibrary.com/img/200/ia-divinaproportion00paci-112-295.webp)
![An illustration from Divina proportione : opera a tutti glingegni perspicaci e curiosi necessaria oue ciascun studioso di philosophia: prospettiua pictura sculptura: architectura: musica: e altre mathematice: suavissima: sotile: e admirabile doctrina consequira: e delecterassi: co[n] varie questione de secretissima scientia (1509)](https://img.insideoutlibrary.com/img/200/ia-divinaproportion00paci-105-256.webp)
