The vasculature, what is it? -- Historical consideration -- The vasculature in evolution -- Where it all began -- Culture of vascular cells in vitro -- The discovery of the first stimulating factors of blood vessels -- Vascular Endothelial growth factor (VEGF) : the cornerstone of angiogenesis stimulators -- Inhibition of angiogenesis "successes and deceptions" -- Stimulating angiogenesis -- The story is more complicated than anticipated -- How to study angiogenesis -- Lymphangiogenesis joins in -- Endothelial progenitors and stem cells -- The neuronal connection -- Vascular targeting and vessel destruction ("Vascular targeting") -- What future for angiogenesis? -- Philosophical aspect of the vascular tree -- Concluding remarks.